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Application of splitting scheme and multigrid method for TV-Stokes denoising

文献类型：期刊论文

作者Chang QianShun2; Tai XueCheng3,4; Xing Lili1
刊名SCIENCE CHINA-INFORMATION SCIENCES
出版日期2011-04-01
卷号54期号:4页码:745-756
关键词image denoising total variation Stokes equation algebraic multigrid method
ISSN号1674-733X
DOI10.1007/s11432-011-4204-0
英文摘要Based on some previous work on the connection between image restoration and fluid dynamics, we apply a two-step algorithm for image denoising. In the first step, using a splitting scheme to study a nonlinear Stokes equation, tangent vectors are obtained. In the second step, an image is restored to fit the constructed tangent directions. We apply a fixed point iteration to solve the total variation-based image denoising problem, and use algebraic multigrid method to solve the corresponding linear equations. Numerical results demonstrate that our algorithm is efficient and robust, and boundary conditions are satisfactory for image denoising.
WOS研究方向Computer Science
语种英语
WOS记录号WOS:000289902100004
出版者SCIENCE CHINA PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11918]  
专题中国科学院数学与系统科学研究院
通讯作者Xing Lili
作者单位1.China Univ Petr E China, Sch Math & Computat Sci, Dongying 257061, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Bergen, Dept Math, N-5007 Bergen, Norway
4.Nanyang Technol Univ, Sch Phys & Math Sci, Singapore 639798, Singapore
推荐引用方式
GB/T 7714		 Chang QianShun,Tai XueCheng,Xing Lili. Application of splitting scheme and multigrid method for TV-Stokes denoising[J]. SCIENCE CHINA-INFORMATION SCIENCES,2011,54(4):745-756.
APA Chang QianShun,Tai XueCheng,&Xing Lili.(2011).Application of splitting scheme and multigrid method for TV-Stokes denoising.SCIENCE CHINA-INFORMATION SCIENCES,54(4),745-756.
MLA Chang QianShun,et al."Application of splitting scheme and multigrid method for TV-Stokes denoising".SCIENCE CHINA-INFORMATION SCIENCES 54.4(2011):745-756.

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来源：数学与系统科学研究院

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