A Dictionary Learning Based Kernel Sparse Representation Method for Face Recognition
ZHU Jie1,2, YANG Wan-Kou3,TANG Zhen-Min1
1. School of Computer Science and Technology,Nanjing University of Science and Technology,Nanjing 210094 2.School of Mathematics and Information Technology,Nanjing Xiaozhuang University,Nanjing 211171 3.School of Automation,Southeast University,Nanjing 210018
Abstract：Inspired by Metafaces, a dictionary learning based kernel sparse representation method for face recognition is presented. Firstly, a kernel sparse representation classifier is proposed by extending sparse representation classifier to high dimensional space via kernel functions. Then, the kernel dictionary bases are learned based on Metafaces framework. Finally, the samples are reconstructed by kernel dictionary and the face images are classified according to the residual. The experimental results on AR, ORL and Yale face databases show that the proposed method works well.
[1] Zhao W,Chellappa R,Rosenfeld A,et al.Face Recognition: A Literature Survey.ACM Computing Surveys,2003,35(4): 399-458 [2] Li Wujun,Wang Chongjun,Zhang Wei,et al.A Survey of Face Recognition.Pattern Recognition and Artificial Intelligence,2006,19(1): 58-66 [3] Di Wei,Zhang Lei,Zhang D,et al.Studies on Hyperspectral Face Recognition in Visible Spectrum with Feature Band Selection.IEEE Trans on Systems,Man and Cybernetics,2010,40(6): 1354-1361 [4] Zhang Baochang,Zhang Lei,Zhang D,et al.Directional Binary Code with Application to Poly U Near-Infrared Face Database.Pattern Recognition Letters,2010,31(14): 2337-2344 [5] Turk M,Pentland A.Eigenfaces for Recognition.Journal of Cognitive Neuroscience,1991,3(1): 71-86 [6] Belhumeur P,Hespanha J,Kriegman D.Eigenfaces vs.Fisherfaces: Recognition Using Class Specific Linear Projection.IEEE Trans on Pattern Analysis and Machine Intelligence,1997,19(7): 711-720 [7] Hyvarinen A,Karhunen J,Oja E.Independent Component Analysis.New York,USA: Wiley,2001 [8] Tenenbaum J B,de Silva V,Langford J C.A Global Geometric Frame Work for Nonlinear Dimensionality Reduction.Science,2000,290(5500): 2319-2323 [9] Roweis S T,Saul L K.Nonlinear Dimensionality Reduction by Locally Linear Embedding.Science,2000,290(5500): 2323-2326 [10] He Xiaofei,Yan Shuicheng,Hu Yuxiao,et al.Face Recognition Using Laplacianfaces.IEEE Trans on Pattern Analysis and Machine Intelligence,2005,27(3): 328-340 [11] Yang Jian,Zhang D,Yang J Y,et al.Globally Maximizing,Locally Minimizing: Unsupervised Discriminant Projection with Applications to Face and Palm Biometrics.Pattern Analysis and Machine Intelligence,2007,29(4): 650-664 [12] Liu Chengjun.Capitalize on Dimensionality Increasing Techniques for Improving Face Recognition Grand Challenge Performance.IEEE Trans on Pattern Analysis and Machine Intelligence,2006,28(5): 725-737 [13] Cheng Jian,Liu Qingshan,Lu Hanqing,et al.Supervised Kernel Locality Preserving Projections for Face Recognition.Neurocomputing,2005,67(8): 443-449 [14] Kim S J,Koh K,Lustig M,et al.A Method for Large-Scale l1-Regularized Least Squares.IEEE Journal on Selected Topics in Signal Processing,2007,1(4): 606-617 [15] Zhang Li,Zhou Weida,Jiao Licheng.Kernel Clustering Algorithm.Chinese Journal of Computers,2002,25(6): 587-590 (in Chinese) (张 莉,周伟达,焦李成.核聚类算法.计算机学报,2002,25(6): 587-590) [16] Pati Y C,Rezaiifar R,Krishnaprasad P S.Orthogonal Matching Pursuit: Recursive Function Approximation with Applications to Wavelet Decomposition // Proc of the 27th Asilomar Conference on Signals,Systems and Computers.Pacific Grove,USA,1993: 40-44 [17] Yang A Y,Ma Yi,Wright J,et al.Feature Selection in Face Recognition: A Sparse Representation Perspective.IEEE Trans on Pattern Recognition and Artificial Intelligence,2007,8: 1-34 [18] Yang Meng,Zhang Lei.Gabor Feature Based Sparse Representation for Face Recognition with Gabor Occlusion Dictionary // Proc of the 11th European Conference on Computer Vision.Crete,Greece,2010: 448-461 [19] Wright J,Yang A Y,Ganesh A,et al.Robust Face Recognition via Sparse Representation.IEEE Trans on Pattern Analysis and Machine Intelligence,2009,31(2): 210-227 [20] Yin Jun,Liu Zhonghua,Jin Zhong,et al.Kernel Sparse Representation Based Classification.Neurocomputing,2012,77(1): 120-128 [21] Pu Jian,Zhang Junping.Super-Resolution through Dictionary Learning and Sparse Representation.Pattern Recognition and Artificial Intelligence,2010,23(3): 335-340 (in Chinese) (浦 剑,张军平.基于词典学习和稀疏表示的超分辨率方法.模式识别与人工智能,2010,23(3): 335-340) [22] Cai Zemin,Lai Jianhuang.An Over-Complete Learned Dictionary-Based Image De-Noising Method.Acta Electronica Sinica,2009,37(2): 347-350 (in Chinese) (蔡泽民,赖剑煌.一种基于超完备字典学习的图像去噪方法.电子学报,2009,37(2): 347-350) [23] Fuchs J J.On Sparse Representations in Arbitrary Redundant Bases.IEEE Trans on Information Theory,2004,50(6): 1341-1344 [24] Yang Meng,Zhang Lei,Yang Jian,et al.Metaface Learning for Sparse Representation Based Face Recognition // Proc of the 17th IEEE International Conference on Image Processing.Hong Kong,China,2010: 1601-1604
2012, Vol. 25 
