Image Recognition Using Weighted Two-Dimensional Maximum Margin Criterion

In image recognition, feature extraction techniques are widely used to enhance discriminatory performance. In this paper, a new method for image feature extraction, called weighted two-dimensional maximum margin criterion (W2DMMC), is proposed. Different from conventional maximum margin criterion (MMC), W2DMMC is directly based on two-dimensional image matrix rather than one-dimensional vector. And W2DMMC has an additional weighted parameter beta that further broadens the margin. W2DMMC completely circumvents the small sample size problem and is computationally efficient. As a connection to 2DLDA, we show that 2DLDA can be recovered from W2DMMC when imposing some constraints. The better performance of W2DMMC in terms of both recognition accuracy and training time is demonstrated by experiments on real data set.

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

[2]  Heng Tao Shen,et al.  Principal Component Analysis , 2009, Encyclopedia of Biometrics.

[3]  Tao Jiang,et al.  Efficient and robust feature extraction by maximum margin criterion , 2003, IEEE Transactions on Neural Networks.

[4]  Daoqiang Zhang,et al.  (2D)2PCA: Two-directional two-dimensional PCA for efficient face representation and recognition , 2005, Neurocomputing.

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

[6]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

[7]  Hiroshi Murase,et al.  Visual learning and recognition of 3-d objects from appearance , 2005, International Journal of Computer Vision.

[8]  Lei Wang,et al.  Generalized 2D principal component analysis for face image representation and recognition , 2005, Neural Networks.

[9]  Lawrence Sirovich,et al.  Application of the Karhunen-Loeve Procedure for the Characterization of Human Faces , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  David G. Stork,et al.  Pattern Classification , 1973 .

[11]  Avinash C. Kak,et al.  PCA versus LDA , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

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

[13]  Palaiahnakote Shivakumara,et al.  (2D)2LDA: An efficient approach for face recognition , 2006, Pattern Recognit..

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

[15]  Daoqiang Zhang,et al.  ( 2 D ) 2 PCA : 2-Directional 2-Dimensional PCA for Efficient Face Representation and Recognition , 2005 .