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Fisher discriminant analysis based on kernel cuboid for face recognition

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Abstract

This paper builds the concept of kernel cuboid, and proposes a new kernel-based image feature extraction method for face recognition. The proposed method deals with a face image in a block-wise manner, and independently performs kernel discriminant analysis in every block set, using kernel cuboid instead of kernel matrix. Experimental results on the ORL and UMIST face databases show the effectiveness and scalability of the proposed method.

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References

  • Baudat G, Anouar F (2000) Generalized discriminant analysis using a kernel approach. Neural Comput 12(10):2385–2404

    Article  Google Scholar 

  • Belhumeur PN, Hespanha JP, Kriegman DJ (1997) Eigenfaces vs. fisherfaces: recognition using class specific linear projection. IEEE Trans Pattern Anal Mach Intell 19(7):711–720

    Article  Google Scholar 

  • Castiglione A, Pizzolante R, Santis AD, Carpentieri B, Castiglione A, Palmieri F (2015) Cloud-based adaptive compression and secure management services for 3D healthcare data. Future Gener Comput Syst 43:120–134

    Article  Google Scholar 

  • Chen LF, Liao HYM, Ko MT et al (2000) A new LDA-based face recognition system which can solve the small sample size problem. Pattern Recognit 33:1713–1726

    Article  Google Scholar 

  • Demmel JW (1997) Applied numerical linear algebra. SIAM, Philadelphia

    Book  MATH  Google Scholar 

  • Esposito C, Ficco M, Palmieri F, Castiglione A (2013) Interconnecting federated clouds by using publish-subscribe service. Clust Comput 16(4):887–903

    Article  Google Scholar 

  • Ha M, Yang Y, Wang C (2013) A new support vector machine based on type-2 fuzzy samples. Soft Comput 17(11):2065–2074

    Article  Google Scholar 

  • Huang J, Yuen PC, Chen WS, Lai JH (2007) Choosing parameters of kernel subspace lda for recognition of face images under pose and illumination variations. IEEE Trans Syst Man Cybern 37(4):847–862

    Article  Google Scholar 

  • Iqbal K, Odetayo MO, James A (2014) Face detection of ubiquitous surveillance images for biometric security from an image enhancement perspective. J Ambient Intell Humaniz Comput 5(1):133–146

    Article  Google Scholar 

  • Kong H, Wang L, Teoh EK, et al (2005a) A framework of 2D fisher discriminant analysis: application to face recognition with small number of training samples. In: Proceedings of the IEEE conference on computer vision and pattern recognition, San Diego, pp 1083–1088

  • Kong H, Wang L, Teoh EK et al (2005b) Generalized 2D principal component analysis for face image representation and recognition. Neural Netw 18:585–594

  • Kuang F, Zhang S, Jin Z, Xu W (2015) A novel SVM by combining kernel principal component analysis and improved chaotic particle swarm optimization for intrusion detection. Soft Comput 19(5):1187–1199

    Article  Google Scholar 

  • Li J, Kim K (2010) Hidden attribute-based signatures without anonymity revocation. Inf Sci 180(9):1681–1689

    Article  MathSciNet  MATH  Google Scholar 

  • Li J, Chen X, Li M, Li J, Lee P, Lou W (2014) Secure deduplication with efficient and reliable convergent key management. IEEE Trans Parallel Distrib Syst 25(6):1615–1625

    Article  Google Scholar 

  • Liu XZ, Ye HW (2014) Dual-kernel based 2d linear discriminant analysis for face recognition. J Ambient Intell Humaniz Comput. doi:10.1007/s12652-014-0230-2

  • Liu XZ, Yuen PC, Feng GC, Chen WS (2009) Learning kernel in kernel-based LDA for face recognition under illumination variations. IEEE Signal Process Lett 16(12):1019–1022

    Article  Google Scholar 

  • Liu XZ, Wang PSP, Feng GC (2013) Kernel based 2D fisher discriminant analysis with parameter optimization for face recognition. Int J Pattern Recognit Artif Intell 27(8):1356010

    Article  MathSciNet  Google Scholar 

  • Lu JW, Plataniotis K, Venetsanopoulos AN (2003) Face recognition using kernel direct discriminant analysis algorithms. IEEE Trans Neural Netw 14(1):117–126

    Article  Google Scholar 

  • Mika S, Rätsch G, Weston J, Schölkopf B, Müller KR (1999) Fisher discriminant analysis with kernels. In: Proceedings of the IEEE workshop neural networks for signal processing IX, Madison, pp 41–48

  • Ruiz A, López-de-Teruel PE (2001) Nonlinear kernel-based statistical pattern analysis. IEEE Trans Neural Netw 12(1):16–32

    Article  Google Scholar 

  • Schölkopf B, Smola A, Müller KR (1998) Nonlinear component analysis as a kernel eigenvalue problem. Neural Comput 10(5):1299–1319

  • Schölkopf B, Mika S, Burges CJC et al (1999) Input space versus feature space in kernel-based methods. IEEE Trans Neural Netw 10:1000–1017

    Article  Google Scholar 

  • Turk M, Pentland A (1991) Eigenfaces for recognition. J Cogn Neurosci 3(1):71–86

    Article  Google Scholar 

  • Vapnik VN (1998) Statistical learning theory. Wiley, New York

    MATH  Google Scholar 

  • Xiong H, Swamy MN, Ahmad MO (2005) Two-dimensional fld for face recognition. Pattern Recogn 38(7):1121–1124

    Article  Google Scholar 

  • Yang J, Yang JY, Frangi AF, Zhang D (2003) Uncorrelated projection discriminant analysis and its application to face image feature extraction. Int J Pattern Recognit Artif Intell 17(8):1325–1347

    Article  Google Scholar 

  • Yang J, Zhang D, Frangi AF et al (2004) Two dimensional PCA: a new approach to appearance-based face representation and recognition. IEEE Trans Pattern Anal Mach Intell 26(1):131–137

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  • Zhou D, Tang Z (2010) Kernel-based improved discriminant analysis and its application to face recognition. Soft Comput 14(2):103–111

    Article  Google Scholar 

Download references

Acknowledgments

This work is partially supported by the National Natural Science Foundation of China under grant No. 61562017, the Scientific Research Foundation of Hainan University (Project No.: kyqd1443), and the Guangzhou Zhujiang Science and Technology Future Fellow Fund (Grant No. 2012J2200094).

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Correspondence to Xiao-Zhang Liu.

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Communicated by A. Di Nola.

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Liu, XZ., Zhang, CG. Fisher discriminant analysis based on kernel cuboid for face recognition. Soft Comput 20, 831–840 (2016). https://doi.org/10.1007/s00500-015-1794-2

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