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Principal Components Analysis

As applied to face recognition. Principal Components Analysis. video. Face Recognition. Detection vs. Recognition. Face Recognition. Identification vs. Verification. Face Recognition. Components: Face Detection Face Alignment Feature Extraction Matching. Face Recognition. Components:

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Principal Components Analysis

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  1. As applied to face recognition Principal Components Analysis

  2. video

  3. Face Recognition • Detection vs. Recognition

  4. Face Recognition • Identification vs. Verification

  5. Face Recognition • Components: • Face Detection • Face Alignment • Feature Extraction • Matching

  6. Face Recognition • Components: • Face Detection • Face Alignment • Feature Extraction • Matching

  7. Face Recognition

  8. Face Recognition • Dimensionality Reduction

  9. Principal Components Analysis • “Eigenface” analysis

  10. Principal Components Analysis Unordered Observations Temp. Light

  11. Principal Components Analysis

  12. Principal Components Analysis

  13. Principal Components Analysis • Turns 4096 dimensions -> 40 or less dimensions

  14. Principal Components Analysis

  15. Principal Components Analysis

  16. Principal Components Analysis

  17. Principal Components Analysis

  18. Principal Components Analysis

  19. Principal Components Analysis Eigenvector 1 Eigenvector 2 Eigenvalues

  20. Whats an eigenvector? • “Characteristic”

  21. Whats an eigenvector? • “Characteristic” • Vector characterizing a feature of the matrix

  22. Whats an eigenvector? • “Characteristic” • Vector characterizing a feature of the matrix • Eigenvalue = strength

  23. Principal Components Analysis Eigenvalues Eigenvector 1 Eigenvector 2

  24. Principal Components Analysis

  25. Principal Components Analysis

  26. Principal Components Analysis

  27. Principal Components Analysis

  28. Eigenfaces

  29. Eigenfaces • [0,0,0,127, 55, 234, 255, 123, 98… n] • n = width * height

  30. Eigenfaces Image1 Image2 Image3 Image4

  31. Eigenfaces Average

  32. Eigenfaces

  33. Eigenfaces

  34. Eigenfaces Eigenvalues Principal component Eigenvectors

  35. Eigenfaces

  36. Eigenfaces

  37. Eigenfaces • Animation of reconstruction

  38. .5 .2 .1 .03 .005

  39. Principal Components Analysis • Demo

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