As applied to face recognition

Detection vs. Recognition

Identification vs. Verification

Components: Face Detection Face Alignment Feature Extraction Matching

Components: Face Detection Face Alignment Feature Extraction Matching

Dimensionality Reduction

“Eigenface” analysis

Unordered Observations

LightTemp.

2.5 2.4

0.5 0.7

2.2 2.9

1.9 2.2

3.1 3

2.3 2.7

2 1.6

1 1.1

1.5 1.6

1.1 0.9

Turns 4096 dimensions -> 40 or less dimensions

1.81 1.91

2.5 2.4

0.5 0.7

2.2 2.9

1.9 2.2

3.1 3

2.3 2.7

2 1.6

1 1.1

1.5 1.6

1.1 0.9

1.81 1.91

2.5 2.4

0.5 0.7

2.2 2.9

1.9 2.2

3.1 3

2.3 2.7

2 1.6

1 1.1

1.5 1.6

1.1 0.9

0.69 0.49

-1.31 -1.21

0.39 0.99

0.09 0.29

1.29 1.09

0.49 0.79

0.19 -0.31

-0.81 -0.81

-0.31 -0.31

-0.71 -1.01

0.69 0.49

-1.31 -1.21

0.39 0.99

0.09 0.29

1.29 1.09

0.49 0.79

0.19 -0.31

-0.81 -0.81

-0.31 -0.31

-0.71 -1.01

.69 -1.31

.39 .09 1.29

.49 .19 -.81 -.31 -.71

.49 -1.21

.99 .29 1.09

.79 -.31 -.81 -.31 -1.01

.69 -1.31

.39 .09 1.29

.49 .19 -.81 -.31 -.71

.49 -1.21

.99 .29 1.09

.79 -.31 -.81 -.31 -1.01

0.61655556 0.61544444

0.61544444 0.71655556

0.0490834 1.28402771

-.73517866 -0.6778734

0.6778734 -0.73517866

EigenvaluesEigenvector 1 Eigenvector 2

“Characteristic”

“Characteristic”Vector characterizing a feature of

the matrix

“Characteristic”Vector characterizing a feature of

the matrixEigenvalue = strength

-.73517866 -0.6778734

0.6778734 -0.73517866

Eigenvalues

Eigenvector 1 Eigenvector 2

0.0490834 1.28402771

-.73517866 -0.6778734

0.6778734 -0.73517866

-.73517866 0.6778734

-0.6778734 -0.73517866

.69 -1.31

.39 .09 1.29

.49 .19 -.81 -.31 -.71

.49 -1.21

.99 .29 1.09

.79 -.31 -.81 -.31 -1.01

-.828

1.78

-.992

-.27

-1.67

-.912

.099

1.144

.438

1.22

2.5 2.4

0.5 0.7

2.2 2.9

1.9 2.2

3.1 3

2.3 2.7

2 1.6

1 1.1

1.5 1.6

1.1 0.9

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

Image1

Image2

Image3

Image4

0 0 0 127

55 234

255

123

98 65

23 15 67 125

76 209

132

64 92 22

76 234

200

98 11o 85 145

97 44 32

209

53 99 198

39 201

38 220

77 92

Average

0 0 0 127

55 234

255

123

98 65

23 15 67 125

76 209

132

64 92 22

76 234

200

98 11o

85 145

97 44 32

209

53 99 198

39 201

38 220

77 92

-77 -75.5 -91.5 -10 -1.67 51.75 112.5 -3 20.25 12.25

-54 -60.5 -24.5 -12 19.3 26.75 -10.5 -62 14.25 -30.75

-1 158.5 108.5 -39 53.3 -97.25 2.5 -29 -33.75 -20.75

132 -22.5 7.5 61 -17.67 18.75 -104.5 94 -0.75 39.25

77 75.5 91.5 137 56.67 182.3 142.5 126 77.75 52.75

Eigenvalues

Eigenvectors

.000064 50.97 84.828 173.8 213.018

-.24 -.05 -.17 .13 .33

-.24 -.001 -.034 .462 .317

-.24 -.367 -.1 .006 .134

-.24 -.222 .412 .082 -.308

-.24 .0008 .048 -.057 .192

Principal component

Animation of reconstruction

.5 .2 .1

.03 .005

Demo