Acceleration methods for image restoration problem with different boundary conditions

doi:10.1016/j.apnum.2007.01.007

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	Acceleration methods for image restoration problem with different boundary conditions
	Shi, Yuying 1; Chang, Qianshun 2
	2008-05-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	58 期号:5 页码:602-614
摘要	In this paper, we propose a new (mean) boundary conditions (BCs) for the total variation-based image restoration problem. We present a proof of the convergence of our difference schemes. An algebraic multigrid method and Krylov subspace acceleration are used when we solve the corresponding linear equations. The results from our new BCs are compared with the results from the other BCs introduced by several image researchers by simple and significant 2D numerical experiments. Experimental results demonstrate that our new BCs can get better restored images than the existing BCs. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	image restoration algebraic multigrid fixed point method total variation reflecting BCs antireflective BCs mean BCs
DOI	10.1016/j.apnum.2007.01.007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000255290200006
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5866
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, Yuying
作者单位	1.N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China 2.Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Shi, Yuying,Chang, Qianshun. Acceleration methods for image restoration problem with different boundary conditions[J]. APPLIED NUMERICAL MATHEMATICS,2008,58(5):602-614.
APA	Shi, Yuying,&Chang, Qianshun.(2008).Acceleration methods for image restoration problem with different boundary conditions.APPLIED NUMERICAL MATHEMATICS,58(5),602-614.
MLA	Shi, Yuying,et al."Acceleration methods for image restoration problem with different boundary conditions".APPLIED NUMERICAL MATHEMATICS 58.5(2008):602-614.