Numerical analysis of the model of image processing with time-delay regularization
文献类型：期刊论文
| 作者 | Liu, ZX; Chang, QS |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2005-07-15 |
| 卷号 | 166期号:2页码:349-372 |
| 关键词 | image processing viscosity solution principle of contraction mapping time-delay regularization |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2004.04.077 |
| 英文摘要 | In this paper, we present a semi-implicit numerical scheme for the model of image processing with time-delay regularization, and prove its convergence by the related theory of viscosity solution. Based on the principle of contraction mapping and discrete functional analysis, we also establish the iterative convergence in the sense of L-infinity norm. Numerical experiments with Gauss-Seidel iterative method of sparse matrix show that, compared with the explicit scheme, our numerical method make denoised image sharper. (c) 2004 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000230098500010 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1312]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, ZX |
| 作者单位 | 1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, ZX,Chang, QS. Numerical analysis of the model of image processing with time-delay regularization[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,166(2):349-372. |
| APA | Liu, ZX,&Chang, QS.(2005).Numerical analysis of the model of image processing with time-delay regularization.APPLIED MATHEMATICS AND COMPUTATION,166(2),349-372. |
| MLA | Liu, ZX,et al."Numerical analysis of the model of image processing with time-delay regularization".APPLIED MATHEMATICS AND COMPUTATION 166.2(2005):349-372. |
入库方式： OAI收割
来源：数学与系统科学研究院
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