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Eigenfaces

Eigenfaces. Photobook/Eigenfaces (MIT Media Lab). Database. Photobook/Eigenfaces (MIT Media Lab). 7562 pictures of 3000 people. Query Example. Photobook/Eigenfaces (MIT Media Lab). Eigenfeatures. Photobook/Eigenfaces (MIT Media Lab). Eigenfeatures. Photobook/Eigenfaces (MIT Media Lab).

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Eigenfaces

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  1. Eigenfaces Photobook/Eigenfaces (MIT Media Lab)

  2. Database Photobook/Eigenfaces (MIT Media Lab) 7562 pictures of 3000 people

  3. Query Example Photobook/Eigenfaces (MIT Media Lab)

  4. Eigenfeatures Photobook/Eigenfaces (MIT Media Lab)

  5. Eigenfeatures Photobook/Eigenfaces (MIT Media Lab)

  6. Eigenfeatures Photobook/Eigenfaces (MIT Media Lab)

  7. Eigenfeatures Photobook/Eigenfaces (MIT Media Lab) Receiver Operating Characteristic (ROC) Curve

  8. Recognition with PCA Amano, Hiura, Yamaguti, and Inokuchi; Atick and Redlich;Bakry, Abo-Elsoud, and Kamel;Belhumeur, Hespanha, and Kriegman;Bhatnagar, Shaw, and Williams; Black and Jepson; Brennan and Principe;Campbell and Flynn; Casasent, Sipe and Talukder;Chan, Nasrabadi and Torrieri;Chung, Kee and Kim; Cootes, Taylor, Cooper and Graham; Covell; Cui and Weng;Daily and Cottrell;Demir, Akarun, and Alpaydin;Duta, Jain and Dubuisson-Jolly; Hallinan; Han and Tewfik; Jebara and Pentland;Kagesawa, Ueno, Kasushi, and Kashiwagi;King and Xu;Kalocsai, Zhao, and Elagin; Lee, Jung, Kwon and Hong; Liu and Wechsler;Menser and Muller;Moghaddam;Moon and Philips; Murase and Nayar; Nishino, Sato, and Ikeuchi;Novak, and Owirka;Nishino, Sato, and Ikeuchi;Ohta, Kohtaro and Ikeuchi; Ong and Gong; Penev and Atick; Penev and Sirivitch;Lorente and Torres;Pentland, Moghaddam, and Starner;Ramanathan, Sum, and Soon; Reiter and Matas; Romdhani, Gong and Psarrou;Shan, Gao, Chen, and Ma;Shen, Fu, Xu, Hsu, Chang, and Meng;Sirivitch and Kirby; Song, Chang, and Shaowei; Torres, Reutter, and Lorente;Turk and Pentland;Watta, Gandhi, and Lakshmanan;Weng and Chen; Yuela, Dai, and Feng; Yuille, Snow, Epstein, and Belhumeur;Zhao, Chellappa, and Krishnaswamy;Zhao and Yang.

  9. Lambertian Reflectance • Matt surface • Light source is distant • Light reflected equally to all directions q or

  10. Photometric Stereo: Factorization • M is f x p (#images x #pixels) • L is f x 3 – light sources • S is 3 x p – surface normals (scaled by albedo) • Rank(M)=3 (if no noise present) • SVD: • Ambiguity Eliminate by forcing integrability

  11. Illumination Cone =0.5* +0.2* +0.3*

  12. Empirical Study

  13. Intuition lighting reflectance

  14. Spherical Harmonics • Orthonormal basis for functions on the sphere • n’th order harmonics have 2n+1 components • Rotation = phase shift (same n, different m) • In space coordinates: polynomials of degree n • Funk-Hecke convolution theorem

  15. Spherical Harmonics 1 Z X Y XY XZ YZ

  16. Harmonic Transform of Kernel n

  17. Cumulative Energy (percents) N

  18. Second Order Approximation

  19. Other Low-D Approximations (Ramamoorthi)

  20. r Harmonic Images

  21. Reconstruction

  22. Reconstruction

  23. Motion + Illumination

  24. Reconstruction Reconstruction Laser scan

  25. Advantage of Our Method Residue Std intensity Disparity error Disparity error Assuming brightness constancy Accounting for illumination variation

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