KMS Of Academy of mathematics and systems sciences, CAS
Acceleration methods for image restoration problem with different boundary conditions | |
Shi, Yuying1; Chang, Qianshun2 | |
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. |
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