BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION

doi:10.4208/jcm.1001.m2729

	BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION
	Bai, Zhong-Zhi 1; Huang, Yu-Mei 2; Ng, Michael K.3
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2010-11-01
卷号	28 期号:6 页码:848-863
关键词	Block system of equations Matrix preconditioner Edge-preserving Image restoration Half-quadratic regularization
ISSN号	0254-9409
DOI	10.4208/jcm.1001.m2729
英文摘要	Signal and image restoration problems are often solved by minimizing a cost function consisting of an l(2) data-fidelity term and a regularization term. We consider a class of convex and edge-preserving regularization functions. In specific, half-quadratic regularization as a fixed-point iteration method is usually employed to solve this problem. The main aim of this paper is to solve the above-described signal and image restoration problems with the half-quadratic regularization technique by making use of the Newton method. At each iteration of the Newton method, the Newton equation is a structured system of linear equations of a symmetric positive definite coefficient matrix, and may be efficiently solved by the preconditioned conjugate gradient method accelerated with the modified block SSOR preconditioner. Our experimental results show that the modified block-SSOR preconditioned conjugate gradient method is feasible and effective for further improving the numerical performance of the half-quadratic regularization approach.
资助项目	China NSF Outstanding Young Scientist Foundation[10525102] ; National Natural Science Foundation[10471146] ; National Basic Research Program, P.R. China[2005CB321702] ; Lanzhou University, P.R. China ; Hong Kong Research Grants Council[7035/04P] ; Hong Kong Research Grants Council[7035/05P] ; HKBU FRGs
WOS研究方向	Mathematics
语种	英语
出版者	VSP BV
WOS记录号	WOS:000286949300008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/10245]
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, Zhong-Zhi
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Huang, Yu-Mei,Ng, Michael K.. BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2010,28(6):848-863.
APA	Bai, Zhong-Zhi,Huang, Yu-Mei,&Ng, Michael K..(2010).BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION.JOURNAL OF COMPUTATIONAL MATHEMATICS,28(6),848-863.
MLA	Bai, Zhong-Zhi,et al."BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION".JOURNAL OF COMPUTATIONAL MATHEMATICS 28.6(2010):848-863.