1. 8/16/99 Computer Vision and Modeling

2. 8/16/99 Principal Components with SVD

3. 8/16/99 Linear Dimension Reduction: High-dimensional Input Space

4. 8/16/99 Linear Subspace: += + 1.7=

5. 8/16/99 Linear Subspace:

6. 8/16/99 Principal Components Analysis: m

7. 8/16/99 Examples: Data: Kirby, Weisser, Dangelmayer 1993

8. 8/16/99 Examples: Data: PCA New Basis Vectors

9. 8/16/99 Examples: Data: PCA EigenLips

10. 8/16/99 Examples: Face Recognition with Eigenfaces (Turk+Pentland, ):

11. 8/16/99 Examples: Face Recognition System (Moghaddam+Pentland):

12. 8/16/99 Examples: Visual Cortex Hubel

13. 8/16/99 Examples: Visual Cortex Hubel

14. 8/16/99 Examples: Receptive Fields Hubel

15. 8/16/99 Examples: Receptive Fields Hancock et al: The principal components of natural images

16. 8/16/99 Examples: Receptive Fields Hancock et al: The principal components of natural images

17. 8/16/99 Examples: Active Appearance Models (AAM): (Cootes et al)

18. 8/16/99 Examples: Active Appearance Models (AAM): (Cootes et al)

19. 8/16/99 Examples: Active Appearance Models (AAM): (Cootes et al)

20. 8/16/99 Examples: 3D Morphable Models (Blanz+Vetter)

21. 8/16/99 Examples: 3D Morphable Models (Blanz+Vetter)

22. 8/16/99 Review E(V) VV Constrain - Analytically derived: Affine, Twist/Exponential Map Learned: Linear/non-linear Sub-Spaces

23. 8/16/99 S = (p,…,p ) E(S) Constrain 1n Non-Rigid Constrained Spaces

24. 8/16/99 Non-Rigid Constrained Spaces Nonlinear Manifolds: Linear Subspaces : Small Basis Set Principal Components Analysis Mixture Models

25. 8/16/99 Examples: Eigen Tracking (Black and Jepson)

26. 8/16/99 Examples: Shape Models for tracking:

27. 8/16/99 More generic Feature/Shape Models: Visual Motion Contours: Blake, Isard, Reynard

28. 8/16/99 More generic Feature/Shape Models: Visual Motion Contours: Blake, Isard, Reynard

29. 8/16/99 Linear Discriminant Analysis:

30. 8/16/99 Fisher’s linear discriminant:

31. 8/16/99 Example: Eigenfaces vs Fisherfaces Glasses or not Glasses ?

32. 8/16/99 Example: Eigenfaces vs Fisherfaces Input New Axis Belhumeur, Hespanha, Kriegman 1997

33. 8/16/99 Nonlinear Manifolds Nonlinear Manifolds: Linear Subspaces : Small Basis Set Principal Components Analysis Mixture Models