Discriminant subspace analysis: A Fukunaga-Koontz approach

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 29, Issue 10, 2007, Pages 1732-1745

  Zhang, Sheng ^a   Sim, Terence ^b  

^a University of California   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Discriminant subspace analysis; Fukunaga Koontz transform; Pattern classification

Indexed keywords

BHATTACHARYYA DISTANCES; CLASS PATTERNS; DATA SPACES; DISCRIMINABILITY; DISCRIMINANT SUBSPACE ANALYSIS; EFFICIENT ALGORITHMS; EIGEN VALUES; FISHER CRITERIONS; FISHER LINEAR DISCRIMINANTS; FUKUNAGA-KOONTZ TRANSFORM; GENERALIZED EIGENVALUE; LINEAR SUBSPACES; MULTIPLE DISCRIMINANT ANALYSIS; PATTERN CLASSIFICATION; PATTERN RECOGNITION PROBLEMS; SCATTER MATRICES; SYNTHETIC AND REAL DATUM; UNIFIED FRAMEWORKS;

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; PATTERN RECOGNITION;

DISCRIMINANT ANALYSIS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; BIOMETRY; COMPUTER ASSISTED DIAGNOSIS; DISCRIMINANT ANALYSIS; FACE; HISTOLOGY; HUMAN; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; BIOMETRY; DISCRIMINANT ANALYSIS; FACE; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 36048970830     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2007.1089     Document Type: Article

References (22)

1. E. Bailly-Baillière, S. Bengio, F. Bimbot, M. Hamouz, J. Kittler, J. Mariéthoz, J. Matas, K. Messer, V. Popovici, F. Porée, B. Ruíz, and J.P. Thiran, "The Banca Database and Evaluation Protocol," Proc. Fourth Int'l Conf. Audio and Video-Based Biometric Person Authentication, pp. 625-638, 2003.
2. P. Belhumeur, J. Hespanha, and D. Kriegman, "Eigenfaces versus Fisherfaces: Recognition Using Class Specific Linear Projection," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 19, no. 7, July 1997.
3. H. Cevikalp, M. Neamtu, M. Wilkes, and A. Barkana, "Discriminant Common Vectors for Face Recognition," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 27, no. 1, pp. 4-13, Jan. 2005.
4. S. Chakrabarti, S. Roy, and M. Soundalgekar, "Fast and Accurate Text Classification via Multiple Linear Discriminant Projections," Proc. Int'l Conf. Very Large Data Bases, pp. 658-669, 2002.
5. R. Duda, P. Hart, and D. Stork, Pattern Classification, second ed. John Wiley & Sons, 2000.
6. F. de la Torre Frade and T. Kanade, "Multimodal Oriented Discriminant Analysis," Proc. Int'l Conf. Machine Learning, Aug. 2005.
7. K. Fukunaga, Introduction to Statistical Pattern Recognition, second ed. Academic Press, 1990.
8. G.H. Golub and C.F. Van Loan, Matrix Computations, third ed. Johns Hopkins Univ. Press, 1996.
9. P. Howland and H. Park, "Generalizing Discriminant Analysis Using the Generalized Singular Value Decomposition," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 26, no. 8, pp. 995-1006, Aug. 2004.
10. R. Huang, Q. Liu, H. Lu, and S. Ma, "Solving the Small Sample Size Problem of LDA," Proc. IEEE Int'l Conf. Pattern Recognition, vol. 3, pp. 29-32, 2002.
11. X. Huo, "A Statistical Analysis of Fukunaga-Koontz Transform," IEEE Signal Processing Letters, vol. 11, no. 2, pp. 123-126, Feb. 2004.
12. A.K. Jain, R.P.W. Duin, and J. Mao, "Statistical Pattern Recognition: A Review," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 22, no. 1, pp. 4-37, Jan. 2000.
13. I.T. Jolliffe, Principal Component Analysis. Springer, 1986.
14. C.F. Van Loan, "Generalizing the Singular Value Decomposition," SIAM J. Numerical Analysis, vol. 13, no. 1, pp. 76-83, 1976.
15. B. Moghaddam, "Principal Manifolds and Probabilistic Subspaces for Visual Recognition," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 24, no. 6, pp. 780-788, June 2002.
16. C.C. Paige and M.A. Saunders, "Towards a Generalized Singular Value Decomposition," SIAM J. Numerical Analysis, vol. 18, no. 3, pp. 398-405, 1981.
17. T. Sim, S. Baker, and M. Bsat, "The CMU Pose, Illumination, and Expression Database," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 25, no. 12, pp. 1615-1618, Dec. 2003.
18. M. Turk and A. Pentland, "Eigenfaces for Recognition," J. Cognitive Neuroscience, vol. 3, no. 1, 1991.
19. X. Wang and X. Tang, "Dual-Space Linear Discriminant Analysis for Face Recognition," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 564-569, June 2004.
20. J. Ye and Q. Li, "A Two-Stage Linear Discriminant Analysis via QR-Decomposition," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 27, no. 6, pp. 929-942, June 2005.
21. H. Yu and H. Yang, "A Direct LDA Algorithm for High-Dimensional Data - with Application to Face Recognition," Pattern Recognition, vol. 34, no. 10, pp. 2067-2070, 2001.
22. S. Zhang and T. Sim, "When Fisher Meets Fukunaga-Koontz: A New Look at Linear Discriminants," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 323-329, June 2006.