UM
Reconstructed Error and Linear Representation Coefficients Restricted by ℓ1-Minimization for Face Recognition under Different Illumination and Occlusion
Wu, Xuegang1,2; Fang, Bin3; Tang, Yuan Yan4; Zeng, Xiaoping1; Xing, Changyuan2
2017-05-22
Source PublicationMathematical Problems in Engineering
ISSN1024-123X
Volume2017
Other Abstract

The problem of recognizing human faces from frontal views with varying illumination, occlusion, and disguise is a great challenge to pattern recognition. A general knowledge is that face patterns from an objective set sit on a linear subspace. On the proof of the knowledge, some methods use the linear combination to represent a sample in face recognition. In this paper, in order to get the more discriminant information of reconstruction error, we constrain both the linear combination coefficients and the reconstruction error by l(1)-minimization which is not apt to be disturbed by outliners. Then, through an equivalent transformation of the model, it is convenient to compute the parameters in a new underdetermined linear system. Next, we use an optimization method to get the approximate solution. As a result, the minimum reconstruction error has contained much valuable discriminating information. The gradient of this variable is measured to decide the final recognition. The experiments show that the recognition protocol based on the reconstruction error achieves high performance on available databases (Extended Yale B and AR Face database).

DOIhttps://doi.org/10.1155/2017/1458412
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000401853400001
PublisherHINDAWI LTD
The Source to ArticleWOS
Fulltext Access
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorWu, Xuegang
Affiliation1.College of Communication Engineering, Chongqing University, Chongqing 400030, China
2.College of Computer Engineering, Yangtze Normal University, Fuling 408100, Chongqing, China
3.College of Computer Science, Chongqing University, Chongqing 400030, China
4.Faculty of Science and Technology, University of Macau, Macau
Recommended Citation
GB/T 7714
Wu, Xuegang,Fang, Bin,Tang, Yuan Yan,et al. Reconstructed Error and Linear Representation Coefficients Restricted by ℓ1-Minimization for Face Recognition under Different Illumination and Occlusion[J]. Mathematical Problems in Engineering,2017,2017.
APA Wu, Xuegang,Fang, Bin,Tang, Yuan Yan,Zeng, Xiaoping,&Xing, Changyuan.(2017).Reconstructed Error and Linear Representation Coefficients Restricted by ℓ1-Minimization for Face Recognition under Different Illumination and Occlusion.Mathematical Problems in Engineering,2017.
MLA Wu, Xuegang,et al."Reconstructed Error and Linear Representation Coefficients Restricted by ℓ1-Minimization for Face Recognition under Different Illumination and Occlusion".Mathematical Problems in Engineering 2017(2017).
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