Feature extraction using 2DIFDA with fuzzy membership

In this paper, a new method called fuzzy two-dimensional inverse Fisher discriminant analysis (fuzzy 2DIFDA) directly based on 2D image matrices rather than image vectors is proposed for feature extraction and recognition. In the proposed method, the distribution information of samples is first characterized using fuzzy set theory, and the corresponding fuzzy scatter matrices are then redefined. Image discriminant features which have embedded the fuzzy information are finally extracted by selecting 2D principal components and 2D inverse Fisher discriminant vectors. Experimental results on FERET face database and FKP database demonstrate the effectiveness of the proposed method.

[1]  Dao-Qing Dai,et al.  Improved discriminate analysis for high-dimensional data and its application to face recognition , 2007, Pattern Recognit..

[2]  Jing-Yu Yang,et al.  Optimal discriminant plane for a small number of samples and design method of classifier on the plane , 1991, Pattern Recognit..

[3]  J. Friedman Regularized Discriminant Analysis , 1989 .

[4]  Tzung-Pei Hong,et al.  Genetic-Fuzzy Data Mining With Divide-and-Conquer Strategy , 2008, IEEE Transactions on Evolutionary Computation.

[5]  Lei Zhang,et al.  Feature extraction using fuzzy inverse FDA , 2009, Neurocomputing.

[6]  Xuelong Li,et al.  General Tensor Discriminant Analysis and Gabor Features for Gait Recognition , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  David Zhang,et al.  Finger-knuckle-print: A new biometric identifier , 2009, 2009 16th IEEE International Conference on Image Processing (ICIP).

[8]  Lei Zhang,et al.  Feature extraction based on fuzzy 2DLDA , 2010, Neurocomputing.

[9]  David Zhang,et al.  Local Linear Discriminant Analysis Framework Using Sample Neighbors , 2011, IEEE Transactions on Neural Networks.

[10]  Juyang Weng,et al.  Using Discriminant Eigenfeatures for Image Retrieval , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Jieping Ye,et al.  Two-Dimensional Linear Discriminant Analysis , 2004, NIPS.

[12]  Xiaojun Wu,et al.  Fuzzy Kernel Fisher Discriminant Algorithm with Application to Face Recognition , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[13]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[14]  Xuelong Li,et al.  Binary Two-Dimensional PCA , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[15]  Xiaojun Wu,et al.  A complete fuzzy discriminant analysis approach for face recognition , 2010, Appl. Soft Comput..

[16]  Daming Shi,et al.  Mining fuzzy association rules with weighted items , 2000, Smc 2000 conference proceedings. 2000 ieee international conference on systems, man and cybernetics. 'cybernetics evolving to systems, humans, organizations, and their complex interactions' (cat. no.0.

[17]  David Zhang,et al.  Represent and fuse bimodal biometric images at the feature level: complex-matrix-based fusion scheme , 2010 .

[19]  Jian Yang,et al.  Two-dimensional discriminant transform for face recognition , 2005, Pattern Recognit..

[20]  Witold Pedrycz,et al.  Face recognition using a fuzzy fisherface classifier , 2005, Pattern Recognit..

[21]  Reda Alhajj,et al.  Utilizing Genetic Algorithms to Optimize Membership Functions for Fuzzy Weighted Association Rules Mining , 2006, Applied Intelligence.

[22]  R. Tibshirani,et al.  Penalized Discriminant Analysis , 1995 .

[23]  Jian Yang,et al.  KPCA plus LDA: a complete kernel Fisher discriminant framework for feature extraction and recognition , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[24]  Hyeonjoon Moon,et al.  The FERET Evaluation Methodology for Face-Recognition Algorithms , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[25]  James M. Keller,et al.  A fuzzy K-nearest neighbor algorithm , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[26]  Xuelong Li,et al.  Discriminant Locally Linear Embedding With High-Order Tensor Data , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[27]  Konstantinos N. Plataniotis,et al.  Ensemble-based discriminant learning with boosting for face recognition , 2006, IEEE Transactions on Neural Networks.

[28]  Tzuu-Hseng S. Li,et al.  Robust $H_{\infty}$ Fuzzy Control for a Class of Uncertain Discrete Fuzzy Bilinear Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  R. Tibshirani,et al.  Flexible Discriminant Analysis by Optimal Scoring , 1994 .

[30]  Jian Yang,et al.  A Two-Phase Test Sample Sparse Representation Method for Use With Face Recognition , 2011, IEEE Transactions on Circuits and Systems for Video Technology.

[31]  David Zhang,et al.  Online finger-knuckle-print verification for personal authentication , 2010, Pattern Recognit..

[32]  Anil K. Jain,et al.  Small Sample Size Effects in Statistical Pattern Recognition: Recommendations for Practitioners , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[33]  Tzung-Pei Hong,et al.  Speeding up genetic-fuzzy mining by fuzzy clustering , 2009, 2009 IEEE International Conference on Fuzzy Systems.

[34]  David J. Kriegman,et al.  Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection , 1996, ECCV.

[35]  Dao-Qing Dai,et al.  Inverse Fisher discriminate criteria for small sample size problem and its application to face recognition , 2005, Pattern Recognit..

[36]  Man Hon Wong,et al.  Mining fuzzy association rules in databases , 1998, SGMD.

[37]  Tzung-Pei Hong,et al.  A genetic-fuzzy mining approach for items with multiple minimum supports , 2007, 2007 IEEE International Fuzzy Systems Conference.

[38]  M. Omair Ahmad,et al.  Two-dimensional FLD for face recognition , 2005, Pattern Recognit..

[39]  Ming Li,et al.  2D-LDA: A statistical linear discriminant analysis for image matrix , 2005, Pattern Recognit. Lett..

[40]  Alejandro F. Frangi,et al.  Two-dimensional PCA: a new approach to appearance-based face representation and recognition , 2004 .