Fusion (2D)2PCALDA A new method for face recognition.pdf

Applied Mathematics and Computation 216 (2010) 3195–3199Contents lists available at ScienceDirect Applied Mathematics and Computation journal homepage: www.elsevier .com/ locate/amcFusion (2D)2PCALDA: A new method for face recognition Guohong Huang Department of Information, Guangdong University of Technology, Guangzhou 510006, PR China a r t i c l e i n f o a b s t r a c tKeywords: Fusion face image F(2D)2PCA LDA Face recognition Feature extraction0096-3003/$ - see front matter  2010 Elsevier Inc doi:10.1016/j.amc.2010.04.042 E-mail address: h_guohong@163.comThis paper proposes an efficient face representation and recognition method, which combines the both information between rows and those between columns from two-directional 2DPCA on fusion face image and the optimal discriminative information from column-directional 2DLDA. Experiment results on ORL and Yale face database demon- strate the effectiveness of the proposed method.  2010 Elsevier Inc. All rights reserved.1. Introduction Principal component analysis (PCA) and Linear discriminant analysis (LDA) are two well-known feature extraction and data representation techniques widely used in the areas of pattern recognition for feature extraction and dimension reduc- tion. PCA performs dimensionality reduction by projecting the original data onto the lower dimensional linear subspace spanned by the leading eigenvectors of the data’s covariance matrix. PCA minimizes the reconstruction error in the sense of least square errors, so PCA can find the most representative features. However, PCA is not ideal for general classification tasks, since it ignores the class label information. LDA is a supervised learning algorithm, and its goal is to find a linear trans- formation that maximizes the between-class scatter and minimizes the within-class scatter of the training set, which pre- serves the discriminating information. It is generally believed that LDA-based face recognition methods are superior to those based on P