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

doi:10.1007/s11432-011-4204-0

CSpace

	Application of splitting scheme and multigrid method for TV-Stokes denoising
	Chang QianShun 2; Tai XueCheng 3,4; Xing Lili 1
	2011-04-01
发表期刊	SCIENCE CHINA-INFORMATION SCIENCES
ISSN	1674-733X
卷号	54 期号:4 页码:745-756
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.
关键词	image denoising total variation Stokes equation algebraic multigrid method
DOI	10.1007/s11432-011-4204-0
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000289902100004
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11919
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.