Abstract
This paper presents a kernel weighted scatter difference discriminant analysis (KWSDA) method for face recognition. This non-linear dimensionality reduction algorithm has several interesting characteristics. First, using a new optimization criterion it avoids small sample size problem intuitively. Second, by incorporating a weighting function into discriminant criterion, it overcomes overemphasis on well-separated classes and hence can work under more realistic situations. Lastly, applying kernel theory, it handles nonlinearity efficiently. Experiments on the ORL face database show that the proposed method is effective and feasible.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Fukunaga, K.: Introduction to Statistical Pattern Recognition. Academic Press, New York (1990)
Swets, D.L., Weng, J.: Using discriminant eigenfeatures for image retrieval. IEEE Trans. PAMI. 18, 831–836 (1996)
Belhumeur, P.N., Hespanha, J.P., Kriegman, D.J.: Eigenfaces vs. fisherfaces: Recognition using class specific linear projection. IEEE Trans. PAMI 19, 711–720 (1997)
Loog, M., Duin, R.P.W., Hacb-Umbach, R.: Multiclass linear dimension reduction by weighted pairwise Fisher criteria. IEEE Trans. PAMI. 23, 762–766 (2001)
Lotlikar, R., Kothari, R.: Fractional-Step dimensionality reduction. IEEE Trans. PAMI. 22, 623–627 (2000)
Baudat, G., Anouar, F.: Generalized Discriminant Analysis using a Kernel Approch. Neural computation 12, 2385–2404 (2000)
Mika, S., Ratsch, G., Weston, J.: Fisher Discriminant analysis with Kernels. Neural Networks for Signal Processing 9, 41–48 (1999)
Liu, Q., Huang, R., Lu, H., Ma, S.: Face recognition using Kernel-based Fisher discriminant analysis. In: Proceedings of the Fifth IEEE international conference on Automatic Face and Gesture recognition, pp. 205–211 (2002)
Huang, M.H.: Kernel eigenfaces vs. Kernel Fisherfaces: face recognition using kernel methods. In: Proceedings of the Fifth IEEE international conference on Automatic Face and Gesture recognition, pp. 215–220 (2002)
Liu, Q., Tang, X., Lu, H., Ma, S.: Face recognition using Kernel Scatter-Difference-based Discriminant analysis. IEEE Trans. Neural Networks. 17, 1081–1085 (2006)
Tang, E.K., Suganthan, P.N., Yao, X., Qin, A.K.: Linear dimensionality reduction using relevance weighted LDA. Pattern recognition 38, 485–493 (2005)
Scholkopf, S., Smola, A.: Learning with Kernels: Support Vector Machines, Regularization, Optimization and Beyond. MIT Press, Cambridge (2002)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chougdali, K., Jedra, M., Zahid, N. (2008). Kernel Weighted Scatter-Difference-Based Discriminant Analysis for Face Recognition. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2008. Lecture Notes in Computer Science, vol 5112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69812-8_97
Download citation
DOI: https://doi.org/10.1007/978-3-540-69812-8_97
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69811-1
Online ISBN: 978-3-540-69812-8
eBook Packages: Computer ScienceComputer Science (R0)