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  2013, Vol. 26 Issue (11): 993-1003    DOI:
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Covariance Modeling and Bayesian Classification of Halftone Image on Riemannian Manifold
WEN Zhi-Qiang,HU Yong-Xiang,ZHU Wen-Qiu
College of Computer and Communication,Hunan University of Technology,Zhuzhou 412007

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Abstract  A covariance modeling method and a Bayesian method on Riemannian manifold are presented for classification of halftone image. According to the Fourier spectrum characteristic of halftone image,a feature extraction based on template matrices is presented to form a covariance matrix by combining with the spectrum of halftone image. An algorithm for covariance matrix extraction of halftone image is proposed by introducing a decision rule of effective image and partitioning technology. A Bayesian rule based on neighbor characteristic of tested samples and kernel density estimation is presented on Riemannian manifolds of symmetric positive definite matrices. In experiments,the problem of selection on threshold parameter is studied by statistical methods,the comparisons of the proposed method with 5 similar methods are conducted,and the influences of two parameters on classification performance and time cost of feature modeling are discussed. The experimental results show that the classification error of the proposed method is below 4% and computation time of modeling is under 100ms if parameters Q=32 or 64 and L=10~15. Furthermore,the proposed method is superior to other 5 methods.
Key wordsRiemannian Manifold      Halftone Image      Covariance Matrix      Bayesian Method      Classifier     
Received: 25 September 2012     
ZTFLH: TP301.6  
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WEN Zhi-Qiang
HU Yong-Xiang
ZHU Wen-Qiu
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WEN Zhi-Qiang,HU Yong-Xiang,ZHU Wen-Qiu. Covariance Modeling and Bayesian Classification of Halftone Image on Riemannian Manifold[J]. , 2013, 26(11): 993-1003.
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http://manu46.magtech.com.cn/Jweb_prai/EN/      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2013/V26/I11/993
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