Recognition of facial expressions - Knowledge Based Systems ...

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Equation 20 The value of the angle is then used for correcting the whole image by rotating it with the computed angle. Following the rotation procedure, the symmetric facial points are horizontally aligned. The point used as image rotation center is computed to be on the segment at the half distance between the eyes. The distance between the eyes represents the new parameter, base , whose value is computed using Equation 21. The rotation point has the coordinates . Equation 21 The parameter base is further used to adjust all the distance parameters between any FCPs for making the recognition process robust to the distance to the camera, and also person-independent. Given the value of α , all the pixels are rotated on the screen by using Equation 22. Equation 22 - 64 -
Figure 13. Head rotation in the image In the relation above, the parameter D is the distance of the current point to the center of rotation B. The value of D is given as in Equation 23. Equation 23 As soon as the loaded image is rotated, the user can set all the rest of the points. At the initial stage of working with FCP Management Application, the user is presented with the full loaded image. For setting the FCPs, the application can focus only on a certain area of the image. The user can switch between the two modes of working ( ). By using the application for setting the location of FCPs, the user has the option to zoom in or out ( ) for a better view of the interest area (Figure 14). It is also possible to switch from the modes of showing or not the FCP labels ( ). - 65 -
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Automatic recognition of facial exp
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Man-Machine Interaction Group Facul
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Acknowledgements The author would l
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Eye Detection Module ..............
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List of tables Table 1. The used se
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data taken from the Cohn-Kanade AU-
Page 14 and 15: - The discussions on the current ap
Page 16 and 17: ecognition in static pictures, for
Page 18 and 19: In [Wang and Tang, 2003] the author
Page 20 and 21: Data preparation Starting from the
Page 22 and 23: Figure 2. Facial characteristic poi
Page 24 and 25: The only additional time is that of
Page 26 and 27: African-American and three percent
Page 28 and 29: Table 4. The emotion projections of
Page 30 and 31: contains a large sample of varying
Page 32 and 33: Bayesian networks were designed to
Page 34 and 35: - correctly identify the goals of m
Page 36 and 37: In the final step of constructing a
Page 38 and 39: - renormalize the w ijk to assure t
Page 40 and 41: Principal Component Analysis The ne
Page 42 and 43: The term σ ij is the covariance be
Page 44 and 45: T The term rank( X ∗ X ) is gener
Page 46 and 47: numeric information. Usually, a neu
Page 48 and 49: defined as: ∆w = −η ∇ ji ji
Page 50 and 51: ∂E ∂a j = i E ∂a pk ∂a pk
Page 52 and 53: Spatial Filtering The spatial filte
Page 54 and 55: way high pass filter were used for
Page 56 and 57: module includes some routines for d
Page 59 and 60: IMPLEMENTATION Facial Feature Datab
Page 61 and 62: SMILE resides in a dynamic link lib
Page 63: FCP Management Application The Cohn
Page 67 and 68: Table 6. The set of rules for the u
Page 69 and 70: [image width] [image height] ---- A
Page 71 and 72: Figure 17. The facial areas involve
Page 73 and 74: The functionality of the tool was b
Page 75 and 76: A small part of the output text fil
Page 77 and 78: o call a specialized routine for co
Page 79 and 80: There is another kind of structure
Page 81 and 82: performing classification of facial
Page 83 and 84: Figure 22. Sobel edge detector appl
Page 85 and 86: almost closed it obviously does not
Page 87 and 88: Figure 28. FCP detection The effici
Page 89 and 90: TESTING AND RESULTS The following s
Page 91 and 92: BBN experiment 2 “Detection of fa
Page 93 and 94: General recognition rate is 63.77%
Page 95 and 96: Recognition results. Confusion Matr
Page 97 and 98: 5 states model General recognition
Page 99 and 100: LVQ experiment “LVQ based facial
Page 101 and 102: ANN experiment Back Propagation Neu
Page 103 and 104: PCA experiment “Principal Compone
Page 105 and 106: Eigenvalues: Eigenvectors: Factor l
Page 107 and 108: Squared cosines of the variables: C
Page 109 and 110: - 109 -
Page 111 and 112: CONCLUSION The human face has attra
Page 113 and 114: REFERENCES Almageed, W. A., M. S. F
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Essa, A. Pentland, ‘Coding, analy
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Samal, A., P. Iyengar, ‘Automatic
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61: } 62: } 63: float model::comput
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119: for(k=0;k
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APPENDIX B Datcu D., Rothkrantz L.J
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facial feature and store the inform
Page 129 and 130:
available as part of the knowledge
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detailed in table 4. The dependency
Page 133:
[11] M. Turk, A. Pentland ‘Face r
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