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A Novel Regularized Fisher Discriminant Method for Face Recognition Based on Subspace and Rank Lifting Scheme

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Affective Computing and Intelligent Interaction (ACII 2005)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3784))

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Abstract

The null space N(S t ) of total scatter matrix S t contains no useful information for pattern classification. So, discarding the null space N(S t ) results in dimensionality reduction without loss discriminant power. Combining this subspace technique with proposed rank lifting scheme, a new regularized Fisher discriminant (SL-RFD) method is developed to deal with the small sample size (S3) problem in face recognition. Two public available databases, namely FERET and CMU PIE databases, are exploited to evaluate the proposed algorithm. Comparing with existing LDA-based methods in solving the S3 problem, the proposed SL-RFD method gives the best performance.

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References

  1. Belhumeur, P.N., Hespanha, J.P., Kriegman, D.J.: Eigenfaces vs. Fisherfaces: recognition using class specific linear projection. IEEE Trans. Pattern Anal. Mach. Intell. 19(7), 711–720 (1997)

    Article  Google Scholar 

  2. Yu, H., Yang, J.: A direct LDA algorithm for high-dimensional data — with application to face recognition. Pattern Recognition 34, 2067–2070 (2001)

    Article  MATH  Google Scholar 

  3. Chen, L., Liao, H., Ko, M., Lin, J., Yu, G.: A new LDA-based face recognition system, which can solve the small sample size problem. Pattern Recognition 33(10), 1713–1726 (2000)

    Article  Google Scholar 

  4. Jin, Z., Yang, J.Y., Hu, Z.S., Lou, Z.: Face recognition based on the uncorrelated discriminant transform. Pattern Recognition 34, 1405–1416 (2001)

    Article  MATH  Google Scholar 

  5. Martinez, A.M., Kak, A.C.: PCA versus LDA. IEEE Trans. Pattern Anal. Mach. Intell. 23, 228–233 (2001)

    Article  Google Scholar 

  6. Zhao, W., Chellappa, R., Phillips, P.J.: Subspace linear discriminant analysis for face recognition. Technical Report CAR-TR-914, CS-TR-4009, University of Maryland at College Park, USA (1999)

    Google Scholar 

  7. Huang, R., Liu, Q., Lu, H., Ma, S.D.: Solving small sample size problem in LDA. In: Proceeding of International Conference in Pattern Recognition (ICPR 2002), vol. 3 (2002)

    Google Scholar 

  8. Dai, D.Q., Yuen, P.C.: Regularized discriminant analysis and its application on face recognition. Pattern Recognition 36, 845–847 (2003)

    Article  MATH  Google Scholar 

  9. Lu, J., Plataniotis, K.N., Venetsanopoulos, A.N.: Face Recognition Using LDA Based Algorithms. IEEE Transactions on Neural Networks 14(1), 195–200 (2003)

    Article  Google Scholar 

  10. Duin, R.P.W., Loog, M.: Linear dimensionality reduction via a heteroscedastic extension of LDA: the Chernoff criterion. IEEE Transactions on Pattern Analysis and Machine Intelligence 26(6), 732–739 (2004)

    Article  Google Scholar 

  11. Ye, J.P., Li, O.: A Two-Stage Linear Discriminant Analysis via QR-Decomposition. IEEE Transactions on Pattern Analysis and Machine Intelligence 27(6), 929–941 (2005)

    Article  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Chen, WS., Yuen, P.C., Huang, J., Lai, J., Tang, J. (2005). A Novel Regularized Fisher Discriminant Method for Face Recognition Based on Subspace and Rank Lifting Scheme. In: Tao, J., Tan, T., Picard, R.W. (eds) Affective Computing and Intelligent Interaction. ACII 2005. Lecture Notes in Computer Science, vol 3784. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11573548_20

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  • DOI: https://doi.org/10.1007/11573548_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29621-8

  • Online ISBN: 978-3-540-32273-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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