Polarized 3D. Achuta Kadambi, MIT Media Lab. Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar. MIT Media Lab 2
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1 Polarized 3D Achuta Kadambi, MIT Media Lab Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar MIT Media Lab 2
2 MIT Media Lab 3
3 Microsoft Kinect v2 MIT Media Lab 4
4 Microsoft Kinect v2 MIT Media Lab 5
5 Microsoft Kinect v2 MIT Media Lab 6
6 MIT Media Lab 7
7 Multistripe Laser Scan MIT Media Lab 8
8 Multistripe Laser Scan MIT Media Lab 9
9 Multistripe Laser Scan NextEngine 3D $3000 USD Raster MIT Media Lab 10
10 Multistripe Laser Scan NextEngine 3D $3000 USD Raster MIT Media Lab 11
11 MIT Media Lab 12
12 Polarized 3D 3D Photo w. $30 Pol. Filter MIT Media Lab 13
13 Polarized 3D 3D Photo w. $30 Pol. Filter MIT Media Lab 14
14 Polarized 3D 3D Photo w. $30 Pol. Filter MIT Media Lab 15
15 Plenoptic Light Transport Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 16
16 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 17
17 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Wavelength Diversity (Hyperspectral Cam) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 18
18 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 MIT Media Lab 19
19 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 MIT Media Lab 20
20 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Bounce Index (Scattering) Wavelength Diversity (Hyperspectral Cam) Polarization Diversity (Photos, Shape, Scatter) Time of Flight (3D, Scattering) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 21
21 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Bounce Index (Scattering) Wavelength Diversity (Hyperspectral Cam) Polarization Diversity (Photos, Shape, Scatter) Time of Flight (3D, Scattering) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 22
22 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Bounce Index (Scattering) Wavelength Diversity (Hyperspectral Cam) Polarization Diversity (Photos, Shape, Scatter) Time of Flight (3D, Scattering) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 23
23 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Bounce Index (Scattering) Wavelength Diversity (Hyperspectral Cam) Polarization Diversity (Photos, Shape, Scatter) Time of Flight (3D, Scattering) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 24
24 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Bounce Index (Scattering) Wavelength Diversity (Hyperspectral Cam) Polarization Diversity (Photos, Shape, Scatter) Time of Flight (3D, Scattering) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 25
25 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Bounce Index (Scattering) Wavelength Diversity (Hyperspectral Cam) Polarization Diversity (Photos, Shape, Scatter) Time of Flight (3D, Scattering) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 26
26 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Bounce Index (Scattering) Wavelength Diversity (Hyperspectral Cam) Polarization Diversity (Photos, Shape, Scatter) Time of Flight (3D, Scattering) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 27
27 Plenoptic Light Transport Viewpoint Diversity (Light Field Cam) Bounce Index (Scattering) Wavelength Diversity (Hyperspectral Cam) Polarization Diversity (Photos, Shape, Scatter) Time of Flight (3D, Scattering) Adelson and Bergen The Plenoptic Function MIT Press 1991 MIT Media Lab 28
28 Polarization of Light MIT Media Lab 29
29 Polarization of Light MIT Media Lab 30
30 Polarization of Light Plane of Polarization MIT Media Lab 31
31 Polarization of Light Plane of Polarization Plane of Polarization MIT Media Lab 32
32 Brewster s Angle MIT Media Lab 33
33 Cool 2D Photos Photo Credit: Bob Atkins MIT Media Lab 34
34 Cool 2D Photos Photo Credit: Bob Atkins MIT Media Lab 35
35 Polarization used in 2D photography But what about Polarizers for 3D Cams? MIT Media Lab 36
36 Shape from Polarization MIT Media Lab 37
37 Shape from Polarization MIT Media Lab 38
38 Shape from Polarization MIT Media Lab 39
39 Shape from Polarization MIT Media Lab 40
40 Shape from Polarization MIT Media Lab 41
41 Shape from Polarization Old Principle [Fresnel 1819] r = cos cos θ θ i i + n n cos cos θ θ t t r = co cos s i θ θ t + n n cos cos θ θ t i SfP crux: Solve for theta MIT Media Lab 42
42 Shape from Polarization Old Principle [Fresnel 1819] r = cos cos θ θ i i + n n cos cos θ θ t t r = co cos s i θ θ t + n n cos cos θ θ t i SfP crux: Solve for theta Need to know refractive index MIT Media Lab 43
43 MIT Media Lab 44
44 MIT Media Lab 45
45 MIT Media Lab 46
46 MIT Media Lab 47
47 MIT Media Lab 48
48 MIT Media Lab 49
49 MIT Media Lab 50
50 MIT Media Lab 51
51 MIT Media Lab 52
52 MIT Media Lab 53
53 Can use Schechner 15 ICCP MIT Media Lab 54
54 Image Formation Model MIT Media Lab 55
55 Image Formation Model I I I I ( ) = max + min max min cos 2 pol 2 2 ( ( )) pol I φ + φ φ MIT Media Lab 56
56 Image Formation Model I I I I ( ) = max + min max min cos 2 pol 2 2 ( ( )) pol I φ + φ φ Suppose φ and φ' = φ+ π MIT Media Lab 57
57 Image Formation Model I I I I ( ) = max + min max min cos 2 pol 2 2 ( ( )) pol I φ + φ φ Suppose φ and φ' = φ+ π Azimuthal Ambiguity problem with 2 P solutions MIT Media Lab 58
58 Why is Shape from Polarization Unpopular? 1. \pi Ambiguity in Surface Normal MIT Media Lab 59
59 Why is Shape from Polarization Unpopular? 1. \pi Ambiguity in Surface Normal MIT Media Lab 60
60 Why is Shape from Polarization Unpopular? 1. \pi Ambiguity in Surface Normal 2. Refractive Distortion MIT Media Lab 61
61 Why is Shape from Polarization Unpopular? 1. \pi Ambiguity in Surface Normal 2. Refractive Distortion MIT Media Lab 62
62 Why is Shape from Polarization Unpopular? 1. \pi Ambiguity in Surface Normal 2. Refractive Distortion 3. Low SNR for some geometries MIT Media Lab 63
63 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.. MIT Media Lab 64
64 Shape from Polarization Polarization Inverse Rendering Miyazaki ICCV 2003 Shape from Diffuse Polarization Atkinson TIP 2006 MIT Media Lab 65
65 Shape from Polarization Polarization Inverse Rendering Miyazaki ICCV 2003 Shape from Diffuse Polarization Atkinson TIP 2006 SfP never as popular as shading or photometric stereo MIT Media Lab 66
66 Potential of Polarization? Passive capture Break past Lambertian assumption No baseline Robust to Lighting MIT Media Lab 67
67 Frequency Analysis MIT Media Lab 68
68 Frequency Analysis MIT Media Lab 69
69 Frequency Analysis MIT Media Lab 70
70 Frequency Analysis MIT Media Lab 71
71 Frequency Analysis MIT Media Lab 72
72 Frequency Analysis MIT Media Lab 73
73 Frequency Analysis MIT Media Lab 74
74 Polarized 3D Fuses Depth and Polarization Spanning Tree Integration MIT Media Lab 75
75 Polarized 3D Fuses Depth and Polarization Spanning Tree Integration MIT Media Lab 76
76 Polarized 3D Fuses Depth and Polarization Spanning Tree Integration MIT Media Lab 77
77 Polarized 3D Fuses Depth and Polarization Spanning Tree Integration MIT Media Lab 78
78 Polarized 3D Fuses Depth and Polarization Spanning Tree Integration MIT Media Lab 79
79 Visual Debugging Kinect 3 Polar Photos MIT Media Lab 80
80 Visual Debugging Kinect 3 Polar Photos SfP MIT Media Lab 81
81 Visual Debugging Kinect 3 Polar Photos SfP Grad. Corr. MIT Media Lab 82
82 Visual Debugging Kinect 3 Polar Photos SfP Grad. Corr. Spanning Tree MIT Media Lab 83
83 Versus Expensive Laser Scanner? Polarized 3D NextEngine Multistripe MIT Media Lab 84
84 Assumptions Unpolarized World Assumption Dielectric or Low-frequency Material Transition No specular interreflections Diffuse-dominant or Specular-dominant surfaces with slack MIT Media Lab 85
85 Break the Lambertian Assumption MIT Media Lab 86
86 Break the Lambertian Assumption Kinect MIT Media Lab 87
87 Break the Lambertian Assumption Kinect Shading [Wu 14] MIT Media Lab 88
88 Break the Lambertian Assumption Kinect Shading [Wu 14] Polarized 3D MIT Media Lab 89
89 Break the Lambertian Assumption Kinect Shading [Wu 14] Polarized 3D MIT Media Lab 90
90 Break Lighting Assumptions Kinect MIT Media Lab 91
91 Break Lighting Assumptions Kinect Shading [Wu 14] Polarized 3D MIT Media Lab 92
92 Break Lighting Assumptions Kinect Shading [Wu 14] Polarized 3D MIT Media Lab 93
93 Break Lighting Assumptions Kinect Shading [Wu 14] Polarized 3D MIT Media Lab 94
94 Polarized 3D media.mit.edu/~achoo/polar3d Collaborators: Vage Taamazyan Boxin Shi Ramesh Raskar DIY Guide planned for 2016 Thanks to: Gary Atkinson Terry Boult In Kyu Park MIT Media Lab 95
95 MIT Media Lab 96
96 MIT Media Lab 97
97 MIT Media Lab 98
98 MIT Media Lab 99
99 Polarized 3D Achuta Kadambi, MIT Media Lab Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar MIT Media Lab 100
100 Polarized 3D Achuta Kadambi, MIT Media Lab Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar MIT Media Lab 101
101 Polarized 3D Power of Physics Vision Achuta Kadambi, MIT Media Lab Joint work with Vahe Taamazyan, Boxin Shi, and Ramesh Raskar MIT Media Lab 102
Reflectance Characteristics of Accuflect Light Reflecting Ceramic
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