Numerical analysis of the model of image processing with time-delay regularization

doi:10.1016/j.amc.2004.04.077

CSpace

	Numerical analysis of the model of image processing with time-delay regularization
	Liu, ZX ; Chang, QS
	2005-07-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	166 期号:2 页码:349-372
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.
关键词	image processing viscosity solution principle of contraction mapping time-delay regularization
DOI	10.1016/j.amc.2004.04.077
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000230098500010
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1313
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.