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Image Processing

Unsupervised clustering for logo images using singular values region covariance matrices on Lie groups

[+] Author Affiliations
Xuguang Zhang

Yanshan University, Key Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Qinhuangdao, 066004, China

Yun Zhang

Yanshan University, Key Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Qinhuangdao, 066004, China

Jie Zhang

Yanshan University, Key Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Qinhuangdao, 066004, China

Shengyong Chen

Zhejiang University of Technology, College of Computer Science, Hangzhou, 310023, China

Dan Chen

China University of Geosciences, School of Computer Science, Wuhan, 430074, China

Xiaoli Li

Yanshan University, Key Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Qinhuangdao, 066004, China

Opt. Eng. 51(4), 047005 (Apr 19, 2012). doi:10.1117/1.OE.51.4.047005
History: Received December 18, 2011; Revised February 3, 2012; Accepted February 13, 2012
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Abstract.  Toward the unsupervised clustering for color logo images corrupted by noise, we propose a novel framework in which the logo images are described by a model called singular values based region covariance matrices (SVRCM), and the mean shift algorithm is performed on Lie groups for clustering covariance matrices. To decrease the influence of noise, we choose the larger singular values, which can better represent the original image and discard the smaller singular values. Therefore, the chosen singular values are grouped and fused by a covariance matrix to form a SVRCM model that can represent the correlation and variance between different singular value features to enhance the discriminating ability of the model. In order to cluster covariance matrices, which do not lie on Euclidean space, the mean shift algorithm is performed on manifolds by iteratively transforming points between the Lie group and Lie algebra. Experimental results on 38 categories of logo images demonstrate the superior performance of the proposed method whose clustering rate can be achieved at 88.55%.

Figures in this Article
© 2012 Society of Photo-Optical Instrumentation Engineers

Topics

Matrices

Citation

Xuguang Zhang ; Yun Zhang ; Jie Zhang ; Shengyong Chen ; Dan Chen, et al.
"Unsupervised clustering for logo images using singular values region covariance matrices on Lie groups", Opt. Eng. 51(4), 047005 (Apr 19, 2012). ; http://dx.doi.org/10.1117/1.OE.51.4.047005


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