A generalized Foley-Sammon transform based on generalized fisher discriminant criterion and its application to face recognition

Pattern Recognition Letters

Volumn 24, Issue 1-3, 2003, Pages 147-158

  Guo, Yue Fei ^a   Li, Shi Jin ^b   Yang, Jing Yu ^c   Shu, Ting Ting ^c   Wu, Li De ^a  

^a FUDAN UNIVERSITY   (China)

^b Ho Hai University   (China)

^c NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Feature extraction; Fisher discriminant criterion; Foley Sammon transform; Generalized Fisher discrimination criterion; Generalized Foley Sammon; Generalized optimal set of discriminant vectors; Pattern recognition

Indexed keywords

ALGORITHMS; VECTORS;

FOLEY-SAMMON TRANSFORM (FST);

PATTERN RECOGNITION;

PATTERN RECOGNITION;

EID: 0346034995     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8655(02)00207-6     Document Type: Article

References (19)

1. Belhumeur, P.N., Hespanha, J.P., Kriegman, D.J., 1997. Eigenfaces vs. Fisherfaces: recognition using class specific linear projection. IEEE Trans. Pattern Anal. Machine Intell. 19 (7), 711-720.
2. Cheng, Y.Q., Zhuang, Y.M., Yang, J.Y., 1992. Optimal Fisher discriminant analysis using the rank decomposition. Pattern Recognit. 25 (1), 101-111.
3. Etemad, K., Chellappa, R., 1997. Discriminant analysis for recognition of human face images. J. Opt. Soc. Am. A 14 (8), 1724-1733.
4. Foley, D.H., Sammon, J.W., 1975. An optimal set of discriminant vectors. IEEE Trans. Comput. C 24 (3), 281-289.
5. Fisher, R.A., 1936. The use of multiple measurements in taxonomic problems. Ann. Eugenics 7, 178-188.
6. Wang, G.L., Shi, R.C., 1988. Theory of Matrix. Publishing House of Defense Industry, Beijing (in Chinese).
7. Hong, Z.Q., 1991. Algebraic feature extraction of image for recognition. Pattern Recognit. 24 (3), 211-219.
8. Hamamoto, Y. et al., 1989. A note on the orthogonal discriminant vector of pattern recognition. Trans. IECE (A) J72-A (2), 414-419 (in Japanese).
9. Hong, Z.Q., Yang, J.-Yu., 1991. Optimal discriminant plane for a small number of samples and design method of classifier on the plane. Pattern Recognit. 24 (4), 317-324.
10. Sun, Y.G., 1987. Analysis of the Perturbation of Matrix. Scientific Press, Beijing (in Chinese).
11. Kittler, J., 1977. On the discriminant vector method of feature selection. IEEE Trans. Comput. 26 (6), 604-606.
12. Liu, K., Cheng, Y.Q., Yang, J.Y., 1992a. A generalized optimal set of discriminant vectors. Pattern Recognit. 25 (1), 731-739.
13. Liu, K., Cheng, Y.Q., Yang, J.Y., 1992b. An efficient algorithm for Foley-Sammon optimal set of discriminant vectors by algebraic method. Int. J. Pattern Recognit. Artif. Intell. 6 (5), 817-829.
14. Liu, K., Cheng, Y.Q., Yang, J.Y., 1993. Algebraic feature extraction for image recognition based on an optimal discriminant criterion. Pattern Recognit. 26 (6), 903-911.
15. Okada, T. et al., 1982. Theory of feature extraction by orthogonal discriminant vectors. Trans. IECE (A) J65-A (8), 767-771 (in Japanese).
16. Sammon, J.W., 1970. An optimal discriminant plane. IEEE Trans. Comput. C 19, 826-829.
17. Tian, Q. et al., 1986. Image classification by the Foley-Sammon transform. Opt. Eng. 25 (7), 834-839.
18. Tian, Q. et al., 1988a. Comparison of statistical pattern-recognition algorithms for hybrid processing, I. Linear mapping algorithm., J. Opt. Soc. Am. A 5 (10), 1655-1669.
19. Tian, Q. et al., 1988b. Comparison of statistical pattern-recognition algorithms for hybrid processing, II: eigenvector-based algorithm. J. Opt. Soc. Am. A 5 (10), 1670-1682.