Median null(Sw)-based method for face feature recognition

被引:25
作者
Gao, Jian-qiang [1 ]
Fan, Li-ya [2 ]
Xu, Li-zhong [1 ]
机构
[1] Hohai Univ, Coll Comp & Informat Engn, Nanjing 210098, Jiangsu, Peoples R China
[2] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
M-N(S-w); Linear discriminant analysis (LDA); Within-class median; Null space; Face recognition; KERNEL FISHER DISCRIMINANT; DIRECT LDA; IMAGE;
D O I
10.1016/j.amc.2013.01.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
With the progress of science and technology artificial intelligence is being paid more and more attention. People want to use computers to deal with complex practical problems. So, linear discriminant analysis (LDA) is widely used as a dimensionality reduction technique in image and text recognition classification tasks. However, a weakness of LDA model is that the class average vector in the formula completely depends on class sample average. Under special circumstances such as noise, bright light, some outliers will appear in the practical input databases. Therefore, by employing several given practical samples, the class sample average is not enough to estimate the class average accurately. So, the recognition performance of LDA model will decline. Compared to human intelligence, computers are far short of necessary fundamental knowledge of judgment which people normally acquire during the formative years of their lives. In order to solve the problem and also to render LDA model more robust, we propose a within-class scatter matrix null space median method (M-N(S-w)), which first transforms the original space by employing a basis of within-class scatter matrix null space, and then in the transformed space the maximum of between-class scatter matrix is pursued. In the second stage, within-class median vector is used in the traditional LDA model. Experiments on ORL, FERET and Yale face data sets are performed to test and evaluate the effectiveness of the proposed method. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:6410 / 6419
页数:10
相关论文
共 23 条
[1]  
[Anonymous], ORL FAC DAT
[2]   Eigenfaces vs. Fisherfaces: Recognition using class specific linear projection [J].
Belhumeur, PN ;
Hespanha, JP ;
Kriegman, DJ .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1997, 19 (07) :711-720
[3]   A new LDA-based face recognition system which can solve the small sample size problem [J].
Chen, LF ;
Liao, HYM ;
Ko, MT ;
Lin, JC ;
Yu, GJ .
PATTERN RECOGNITION, 2000, 33 (10) :1713-1726
[4]  
Fukunaga K., 1990, Introduction to statistical pattern classification, DOI [DOI 10.1016/B978-0-08-047865-4.50007-7, https://doi.org/10.1016/B978-0-08-047865-4.50007-7]
[5]  
Gao J., 2012, WSEAS T MATH, V11, P728
[6]   Face recognition using FLDA with single training image per person [J].
Gao, Quan-xue ;
Zhang, Lei ;
Zhang, David .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 205 (02) :726-734
[7]  
Golub G. H., 1996, MATRIX COMPUTATIONS
[8]  
Jianqiang Gao, 2011, WSEAS Transactions on Mathematics, V10, P358
[9]   A new solution to one sample problem in face recognition using FLDA [J].
Koc, Mehmet ;
Barkana, Atalay .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) :10368-10376
[10]   Median MSD-based method for face recognition [J].
Li, Xiaodong ;
Fei, Shumin ;
Zhang, Tao .
NEUROCOMPUTING, 2009, 72 (16-18) :3930-3934