discriminating shapes: on violins and the latent morphology of grape leaves
TRANSCRIPT
Discriminating shapes
On violins and thelatent morphology of
grape leaves
Dan Chitwood
Donald DanforthPlant Science Center
Seminar at Missouri StateMarch 4 2016
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
How to quantify shapeAn example using violins
Photos from auctiongt9000 instrumentsgt400 violin makersgt400 years of history
Chitwood (2014) Imitation genetic lineages and time influenced the morphological evolution of the violin PLOS ONE
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
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56
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How to measure shapeChain code
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0
How to measure shapeChain code
0
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0 0
How to measure shapeChain code
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56
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0 0 0
How to measure shapeChain code
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0 0 0 7
How to measure shapeChain code
0
12
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0 0 0 7 0
How to measure shapeChain code
0
12
3
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56
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0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
How to quantify shapeAn example using violins
Photos from auctiongt9000 instrumentsgt400 violin makersgt400 years of history
Chitwood (2014) Imitation genetic lineages and time influenced the morphological evolution of the violin PLOS ONE
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to quantify shapeAn example using violins
Photos from auctiongt9000 instrumentsgt400 violin makersgt400 years of history
Chitwood (2014) Imitation genetic lineages and time influenced the morphological evolution of the violin PLOS ONE
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Photos from auctiongt9000 instrumentsgt400 violin makersgt400 years of history
Chitwood (2014) Imitation genetic lineages and time influenced the morphological evolution of the violin PLOS ONE
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank