atlas construction and image analysis using statistical ...€¦ · coordinates, (1b) in-vivo...
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!Atlas construction and image analysis using statistical cardiac models
Center for Computational Imaging & Simulation Technologies in BiomedicineUniversitat Pompeu Fabra, Barcelona, Spain
Networking Center on Biomedical Research – Bioengineering, Biomaterials and [email protected]
www.cilab.upf.edu
M. De Craene, F.M. Sukno, C. Tobon-Gomez, C. Butakoff, R.M. Figueras i Ventura, C. Hoogendoorn, G. Piella, N. Duchateau, E. Muñoz-Moreno, R. Sebastián, O. Camara,
and A.F. Frangi
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WHY DO WE NEED ATLASES OF THE HEART?
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Why do we need atlases of the heart?
Looking at multiple levels
Global shape
Local shape
Motion / Deformation
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1. Integrated image-based biomarkers
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Why do we need atlases of the heart?
Probabilistic biomarkersEncode normalityP-value of abnormality
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1. Integrated image-based biomarkers
d1 <?> d2 d1 d2
patient
atlas
Duchateau et al, STACOM (2010)
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Why do we need atlases the heart?
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2. Integrated multimodal information for patient-specific modeling
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EVOLUTIONS AND
CHALLENGES2 IN HEART ATLAS CONSTRUCTION
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…
Affine + nonrigid diffeomorphic registration
…
Apply inverse transforms
Average up to affine transform:
The atlas image
Reference
Segment Triangulate
Average non rigid transformation
Apply average non rigid transform
From single subject to population atlases
Ordas et al . Proc. SPIE Medical Imaging (2007)
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From monomodal to multimodal atlases
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MODEL TO IMAGE ADAPTATION/MATCHING
STATISTICAL INTENSITY MODEL
POINT DISTRIBUTION MODEL
Create automatically by image simulation
Tobon- Gomez et al. IEEE Trans on Medical Imaging, 27(11):1655-1667 (2008)
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! Two parameterizations! a and b, subject and
cardiac phase! Each in their own space
with orthogonal basis
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From spatial to spatiotemporal atlases
Hoogendoorn et al. Int J Comput Vis 85(3):237-252 (2009).
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! Two parameterizations! a and b, subject and
cardiac phase! Each in their own space
with orthogonal basis
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From spatial to spatiotemporal atlases
Hoogendoorn et al. Int J Comput Vis 85(3):237-252 (2009).
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From single object to multi-objects atlases
! Multiple anatomical levels and topologies ! 4 chambers! Tissue properties! Muscle & Purkinje fibers! Coronaries
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Anderson et al. Clinical Anatomy 22:64-76(2009)
From scalar objects to vectors & tensors! DTI-based fiber orientation
Muñoz-Moreno,& Frangi ICIP (2010, in press)
In vivo Human 3D Cardiac DTI Reconstruction 7
Fig. 5. Top: Joint histograms of the elevation (or helix) angle and the normalized
transmural distance from endo to epi. (1a) in-vivo interpolated results using Cartesian
coordinates, (1b) in-vivo interpolated results using PSS coordinates, and (1c) as a
reference, the fully sampled LV statistical atlas. The correlation is visible using PSS
coordinates. Bottom: Interpolated DTI slice color coded by eigenvector direction,
using Cartesian Coordinates (2a) and PSS (2b). (2c) is a streamline fibre tractography
result from the PSS interpolated tensor field.
5 Conclusions
In this paper, we demonstrated that shape adapted curvilinear coordinates –Prolate Spheroidal – are appropriate for the tensor reconstruction over the leftventricle wall volume. We set up a mathematical framework for the kernel re-gression of tensor data in those coordinates, using anisotropic kernel regressionwith an optimised bandwidth matrix. We have shown that the resulting inter-polated tensors better fit the physionomy of the heart. As the left ventricle hasa very characteristic ellipsoidal shape, its fibre architecture (and thus the un-derlying tensor field) has an important spatial coherence in PSS coordinates,whereas it is less sensible in Cartesian coordinates. We have shown that usingthe PSS anisotropic spatial coherence of a statistical cardiac DTI atlas as aprior information for in vivo tensor interpolation and regularization helps us toreconstruct full tensor information. We applied our method to reconstruct thefibre architecture of the left ventricle of a healthy volunteer, and, to the best ofour knowledge, it is the first time that the in vivo human 3D structure of theheart has been reconstructed. The in vivo results show a good correlation withliterature values of ex vivo human studies. We were able to reproduce the typicalpattern of transmural variation of the helix angle. The presented approach opensup possibilities in terms of analysis of the fibre architecture in patients.
Toussaint et al. Miccai (2010, in press)
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CONCLUSIONS &
PERSPECTIVES12
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Shape is not enough
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Source: http://jcmr-online.com/imedia/1712877943433156/supp1.mpg
Motion is not enough
Erikson et al. JCMR, 12(9), (2010)
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Perspectives
! On biomarkers! Towards complex indexes
! Integrate shape (local & global), electrical activation, motion/deformation, and flow
! Towards new probabilistic biomarkers! Distance to populations/manifolds
! On data integration! Multiple-layers visualization of heart
function! Multi-level patient specific models
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Simulation
FEM Model
Functional Model
Patient-specific simulation and virtual populationsGeometrical
Model
MembraneIntracellular
Extramyocardial
Extracellular
FEM
Mod
elEl
ectr
ophy
siol
ogy
Electrical Multiscale Modeling
Romero et al. ABME, (2010)
Hoogendoorn et al. STACOM, (2010)
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Thanks
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