polarized 3d
TRANSCRIPT
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MIT Media Lab 2
Polarized 3DAchuta Kadambi, MIT Media Lab
Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar
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MIT Media Lab 3
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MIT Media Lab 4
Microsoft Kinect v2
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MIT Media Lab 5
Microsoft Kinect v2
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MIT Media Lab 6
Microsoft Kinect v2
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MIT Media Lab 7
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MIT Media Lab 8
Multistripe Laser Scan
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MIT Media Lab 9
Multistripe Laser Scan
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MIT Media Lab 10
Multistripe Laser Scan
NextEngine 3D$3000 USDRaster
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MIT Media Lab 11
Multistripe Laser Scan
NextEngine 3D$3000 USDRaster
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MIT Media Lab 12
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MIT Media Lab 13
Polarized 3D
3D Photo w. $30 Pol. Filter
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MIT Media Lab 14
Polarized 3D
3D Photo w.$30 Pol. Filter
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MIT Media Lab 15
Polarized 3D
3D Photo w.$30 Pol. Filter
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MIT Media Lab 16
Plenoptic Light Transport
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 17
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 18
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 19
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 20
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 21
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Bounce Index(Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 22
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Bounce Index(Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 23
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Bounce Index(Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 24
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Bounce Index(Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 25
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Bounce Index(Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 26
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Bounce Index(Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 27
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Bounce Index(Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 28
Plenoptic Light Transport
Viewpoint Diversity (Light Field Cam)
Wavelength Diversity (Hyperspectral Cam)
Polarization Diversity(Photos, Shape, Scatter)
Time of Flight(3D, Scattering)
Bounce Index(Scattering)
Adelson and Bergen “The Plenoptic Function…” MIT Press 1991
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MIT Media Lab 29
Polarization of Light
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MIT Media Lab 30
Polarization of Light
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MIT Media Lab 31
Polarization of Light
Plane of Polarization
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MIT Media Lab 32
Polarization of Light
Plane of Polarization Plane of Polarization
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MIT Media Lab 33
Brewster’s Angle
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MIT Media Lab 34
Cool 2D Photos
Photo Credit: Bob Atkins
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MIT Media Lab 35
Cool 2D Photos
Photo Credit: Bob Atkins
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MIT Media Lab 36
Polarization used in 2D photography…
… But what about Polarizers for 3D Cams?
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MIT Media Lab 37
Shape from Polarization
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MIT Media Lab 38
Shape from Polarization
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MIT Media Lab 39
Shape from Polarization
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MIT Media Lab 40
Shape from Polarization
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MIT Media Lab 41
Shape from Polarization
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MIT Media Lab 42
Shape from Polarization
Old Principle [Fresnel 1819]
cos cosc oso cs
i
i t
tnrn
θ θθ θ⊥ +−
=
coscos cco
oss i t
t i
rnnθ θ
θ θ+−
=
SfP crux: Solve for theta
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MIT Media Lab 43
Shape from Polarization
Old Principle [Fresnel 1819]
cos cosc oso cs
i
i t
tnrn
θ θθ θ⊥ +−
=
coscos cco
oss i t
t i
rnnθ θ
θ θ+−
=
SfP crux: Solve for theta
Need to know refractive index
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MIT Media Lab 44
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MIT Media Lab 45
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MIT Media Lab 46
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MIT Media Lab 47
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MIT Media Lab 48
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MIT Media Lab 49
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MIT Media Lab 50
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MIT Media Lab 51
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MIT Media Lab 52
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MIT Media Lab 53
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MIT Media Lab 54
Can use Schechner 15 ICCP
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MIT Media Lab 55
Image Formation Model
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MIT Media Lab 56
Image Formation Model
( )( )max min max minpol pol( ) cos 2
2 2I II II φ φ φ+
+ −= −
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MIT Media Lab 57
Image Formation Model
( )( )max min max minpol pol( ) cos 2
2 2I II II φ φ φ+
+ −= −
Suppose and 'φ φ φ π∃ = +
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MIT Media Lab 58
Image Formation Model
( )( )max min max minpol pol( ) cos 2
2 2I II II φ φ φ+
+ −= −
Suppose and 'φ φ φ π∃ = +
Azimuthal Ambiguity problem with 2 solutionsP
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MIT Media Lab 59
Why is Shape from Polarization Unpopular?
1. \pi Ambiguity in Surface Normal
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MIT Media Lab 60
Why is Shape from Polarization Unpopular?
1. \pi Ambiguity in Surface Normal
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MIT Media Lab 61
Why is Shape from Polarization Unpopular?
1. \pi Ambiguity in Surface Normal
2. Refractive Distortion
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MIT Media Lab 62
Why is Shape from Polarization Unpopular?
1. \pi Ambiguity in Surface Normal
2. Refractive Distortion
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MIT Media Lab 63
Why is Shape from Polarization Unpopular?
1. \pi Ambiguity in Surface Normal
2. Refractive Distortion
3. Low SNR for some geometries
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MIT Media Lab 64
Why is Shape from Polarization Unpopular?
1. \pi Ambiguity in Surface Normal
2. Refractive Distortion
3. Low SNR for some geometries
4. Usual challenges of integrating surface normals..
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MIT Media Lab 65
Shape from Polarization
Miyazaki ICCV 2003 Atkinson TIP 2006
Polarization Inverse Rendering Shape from Diffuse Polarization
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MIT Media Lab 66
Shape from Polarization
Miyazaki ICCV 2003 Atkinson TIP 2006
Polarization Inverse Rendering Shape from Diffuse Polarization
SfP never as popular as shading or photometric stereo
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MIT Media Lab 67
Potential of Polarization?
• Passive capture
• Break past Lambertian assumption
• No baseline
• Robust to Lighting
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MIT Media Lab 68
Frequency Analysis
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MIT Media Lab 69
Frequency Analysis
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MIT Media Lab 70
Frequency Analysis
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MIT Media Lab 71
Frequency Analysis
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MIT Media Lab 72
Frequency Analysis
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MIT Media Lab 73
Frequency Analysis
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MIT Media Lab 74
Frequency Analysis
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MIT Media Lab 75
Polarized 3D Fuses Depth and Polarization
Spanning Tree Integration
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MIT Media Lab 76
Polarized 3D Fuses Depth and Polarization
Spanning Tree Integration
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MIT Media Lab 77
Polarized 3D Fuses Depth and Polarization
Spanning Tree Integration
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MIT Media Lab 78
Polarized 3D Fuses Depth and Polarization
Spanning Tree Integration
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MIT Media Lab 79
Polarized 3D Fuses Depth and Polarization
Spanning Tree Integration
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MIT Media Lab 80
Visual Debugging
Kinect 3 Polar Photos
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MIT Media Lab 81
Visual Debugging
Kinect 3 Polar Photos SfP
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MIT Media Lab 82
Visual Debugging
Kinect 3 Polar Photos SfP Grad. Corr.
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MIT Media Lab 83
Visual Debugging
Kinect 3 Polar Photos SfP Grad. Corr. Spanning Tree
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MIT Media Lab 84
Versus Expensive Laser Scanner?
Polarized 3D NextEngineMultistripe
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MIT Media Lab 85
Assumptions
Unpolarized World Assumption
Dielectric or Low-frequency Material Transition
No specular interreflections
Diffuse-dominant or Specular-dominant surfaces with slack
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MIT Media Lab 86
Break the Lambertian Assumption
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MIT Media Lab 87
Break the Lambertian AssumptionKinect
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MIT Media Lab 88
Break the Lambertian AssumptionShading [Wu 14]Kinect
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MIT Media Lab 89
Break the Lambertian AssumptionPolarized 3DShading [Wu 14]Kinect
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MIT Media Lab 90
Break the Lambertian AssumptionPolarized 3DShading [Wu 14]Kinect
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MIT Media Lab 91
Break Lighting Assumptions
Kinect
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MIT Media Lab 92
Break Lighting Assumptions
Polarized 3DShading [Wu 14]Kinect
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MIT Media Lab 93
Break Lighting Assumptions
Polarized 3DShading [Wu 14]Kinect
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MIT Media Lab 94
Break Lighting Assumptions
Polarized 3DShading [Wu 14]Kinect
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MIT Media Lab 95
Polarized 3D
Collaborators:Vage Taamazyan
Boxin ShiRamesh Raskar
DIY Guide planned for 2016
Thanks to:Gary Atkinson
Terry BoultIn Kyu Park
media.mit.edu/~achoo/[email protected]
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MIT Media Lab 96
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MIT Media Lab 97
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MIT Media Lab 98
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MIT Media Lab 99
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MIT Media Lab 100
Polarized 3DAchuta Kadambi, MIT Media Lab
Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar
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MIT Media Lab 101
Polarized 3DAchuta Kadambi, MIT Media Lab
Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar
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MIT Media Lab 102
Polarized 3D Power of Physics VisionAchuta Kadambi, MIT Media Lab
Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar