Face Recognition Based on a Fast Kernel Discriminant Analysis Approach

Article Preview

Abstract:

The computational cost of kernel discrimination is usually higher than linear discrimination, making many kernel methods impractically slow. To overcome this disadvantage, several accelerated algorithms have been presented, which express kernel discriminant vectors using a part of mapped training samples that are selected by some criterions. However, they still need to calculate a large kernel matrix using all training samples, so they only save rather limited computing time. In this paper, we propose the fast and effective kernel discriminations based on the mapped mean samples (MMS). It calculates a small kernel matrix by constructing a few mean samples in input space, then expresses the kernel discriminant vectors using MMS. The proposed kernel approach is tested on the public AR and FERET face databases. Experimental results show that this approach is effective in both saving computing time and acquiring favorable recognition results.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 433-440)

Pages:

6205-6211

Citation:

Online since:

January 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] 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).

DOI: 10.1109/34.824819

Google Scholar

[2] M. Turk and A. Pentland, Face Recognition Using Eigenfaces, Proc. IEEE Conf. CVPR, pp.586-591, (1991).

Google Scholar

[3] P.N. Belhumeur, J.P. Hespanha and D.J. Kriegman, Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection, IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 19, no. 7, p.711–720, (1997).

DOI: 10.1109/34.598228

Google Scholar

[4] X. Y. Jing, Hau-San Wong, David Zhang, Face recognition based on 2D Fisherface approach, Pattern Recognition, 2006, 39(4), pp.707-710.

DOI: 10.1016/j.patcog.2005.10.020

Google Scholar

[5] X.Y. Jing, D. Zhang and Z. Jin, UODV Improved Algorithm and Generalized Theory, Pattern Recognition, vol. 36, no. 11, p.2593–2602, (2003).

DOI: 10.1016/s0031-3203(03)00177-8

Google Scholar

[6] 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.929-941, June (2005).

DOI: 10.1109/tpami.2005.110

Google Scholar

[7] X.Y. Jing, D. Zhang, Y.Y. Tang, An Improved LDA Approach, IEEE Trans. Syst. Man Cybern. Part B, vol. 34, no. 5, p.1942–1951, (2004).

DOI: 10.1109/tsmcb.2004.831770

Google Scholar

[8] S. Li, X.Y. Jing, L.S. Bian, S.Q. Gao, Q. Liu, Y.F. Yao, Facial image recognition based on a statistical uncorrelated near class discriminant approach, IEICE Trans. Information and Systems. 2010, E93-D(4), 934-937.

DOI: 10.1587/transinf.e93.d.934

Google Scholar

[9] B. Scholkopf, A. Smola and K. Muller, Nonlinear Component Analysis as a Kernel Eigenvalue Problem, Neural Computation, vol. 10, no. 5, p.1299–1319, (1998).

DOI: 10.1162/089976698300017467

Google Scholar

[10] G. Baudat and F. Anouar, Generalized Discriminant Analysis Using a Kernel Approach, Neural Computation, vol. 12, no. 10, p.2385–2404, (2000).

DOI: 10.1162/089976600300014980

Google Scholar

[11] X.Y. Jing, Y.F. Yao, D. Zhang, J.Y. Yang and M. Li, Face and Palmprint Pixel Level Fusion and KDCV-RBF Classifier for Small Sample Biometric Recognition, Pattern Recognition, vol. 40, no. 11, pp.3209-3224, (2007).

DOI: 10.1016/j.patcog.2007.01.034

Google Scholar

[12] S. Li, Y.F. Yao, X.Y. Jing, H. Chang, S.Q. Gao, D. Zhang, J.Y. Yang, Face recognition based on nonlinear DCT discriminant feature extraction using improved kernel DCV, IEICE Trans. Information and Systems. 2009, E92-D(12), 2527-2530.

DOI: 10.1587/transinf.e92.d.2527

Google Scholar

[13] V. Vapnik, The Nature of Statistical Learning Theory, New York: Springer, (1995).

Google Scholar

[14] M. E. Tipping, Sparse Kernel Principal Component Analysis, NIPS 2000: Neural Information Processing Systems, p.633–639. MIT Press, (2000).

Google Scholar

[15] X.H. Jiang, R.R. Snapp, Y. C Motai and X.Q. Zhu, Accelerated Kernel Feature Analysis, Proc. IEEE Conf. CVPR, vol. 1, pp.109-116, (2006).

DOI: 10.1109/cvpr.2006.43

Google Scholar

[16] V. Franc and V. Hlavac, Greedy Kernel Principal Component Analysis, Lecture Notes in Computer Science, vol. 3948, pp.87-105, (2006).

DOI: 10.1007/11414353_7

Google Scholar

[17] Y. Xu, J.Y. Yang, et al. An Efficient Renovation on Kernel Fisher Discriminant Analysis and Face Recognition Experiments, Pattern Recognition, vol. 37, no. 10, p.2091–2094, (2004).

DOI: 10.1016/j.patcog.2004.02.016

Google Scholar

[18] A.M., Martinez, R. Benavente, The AR Face Database, CVC Technical Report, no. 24, (1998).

Google Scholar

[19] P.J. Phillips, H. Moon, P. Rauss, S.A. Rizvi, The FERET Evaluation Methodology for Face-Recognition Algorithms, IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 22, no. 10, pp.1090-1104, (2000).

DOI: 10.1109/34.879790

Google Scholar