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Low Rank Prior and Total Variation Regularization for Image Deblurring

文献类型：期刊论文

作者Ma, Liyan1; Xu, Li2; Zeng, Tieyong3,4
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2017-03-01
卷号70期号:3页码:1336-1357
关键词Image deblurring Low rank Nuclear norm Variational method
ISSN号0885-7474
DOI10.1007/s10915-016-0282-x
英文摘要The similar image patches should have similar underlying structures. Thus the matrix constructed from stacking the similar patches together has low rank. Based on this fact, the nuclear norm minimization, which is the convex relaxation of low rank minimization, leads to good denoising results. Recently, the weighted nuclear norm minimization has been applied to image denoising. This approach presents state-of-the-art result for image denoising. In this paper, we further study the weighted nuclear norm minimization problem for general image recovery task. For the weights being in arbitrary order, we prove that such minimization problem has a unique global optimal solution in the closed form. Incorporating this idea with the celebrated total variation regularization, we then investigate the image deblurring problem. Numerical experimental results illustratively clearly that the proposed algorithms achieve competitive performance.
资助项目National Natural Science Foundation of China[61402462] ; National Natural Science Foundation of China[11271049] ; National Natural Science Foundation of China[11201455] ; National Natural Science Foundation of China[11671383] ; National Natural Science Foundation of China[61503202] ; RGC[211911] ; RGC[12302714] ; RFGs of HKBU
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000394326400015
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24822]  
专题计算数学与科学工程计算研究所
通讯作者Zeng, Tieyong
作者单位1.Chinese Acad Sci, Inst Microelect, Beijing 100029, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing, Peoples R China
3.Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
4.HKBU Inst Res & Continuing Educ, Shenzhen Virtual Univ Pk, Shenzhen 518057, Peoples R China
推荐引用方式
GB/T 7714		 Ma, Liyan,Xu, Li,Zeng, Tieyong. Low Rank Prior and Total Variation Regularization for Image Deblurring[J]. JOURNAL OF SCIENTIFIC COMPUTING,2017,70(3):1336-1357.
APA Ma, Liyan,Xu, Li,&Zeng, Tieyong.(2017).Low Rank Prior and Total Variation Regularization for Image Deblurring.JOURNAL OF SCIENTIFIC COMPUTING,70(3),1336-1357.
MLA Ma, Liyan,et al."Low Rank Prior and Total Variation Regularization for Image Deblurring".JOURNAL OF SCIENTIFIC COMPUTING 70.3(2017):1336-1357.

入库方式： OAI收割

来源：数学与系统科学研究院

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