BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi1; Huang, Yu-Mei2; Ng, Michael K.3 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000286949300008 |
| 出版者 | VSP BV |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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