A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations

doi:10.4208/nmtma.2009.m9001s

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	A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations
	Chang, Qianshun 1; Tai, Xuecheng 2,3; Xing, Lily 1
	2009-11-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	2 期号:4 页码:353-376
摘要	In this paper, we propose a compound algorithm for the image restoration. The algorithm is a convex combination of the ROF model and the LLT model with a parameter function theta. The numerical experiments demonstrate that our compound algorithm is efficient and preserves the main advantages of the two models. In particular, the errors of the compound algorithm in L-2 norm between the exact images and corresponding restored images are the smallest among the three models. For images with strong noises, the restored images of the compound algorithm are the best in the corresponding restored images. The proposed algorithm combines the fixed point method, an improved AMG method and the Krylov acceleration. It is found that the combination of these methods is efficient and robust in the image restoration.
关键词	Algorithm of denoising image restoration total variation second-order functional
DOI	10.4208/nmtma.2009.m9001s
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000274153400002
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7007
专题	中国科学院数学与系统科学研究院
通讯作者	Xing, Lily
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing, Peoples R China 2.Nanyang Technol Univ, Sch Phys & Math Sci, Singapore 637371, Singapore 3.Univ Bergen, Dept Math, N-5008 Bergen, Norway
推荐引用方式 GB/T 7714	Chang, Qianshun,Tai, Xuecheng,Xing, Lily. A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2009,2(4):353-376.
APA	Chang, Qianshun,Tai, Xuecheng,&Xing, Lily.(2009).A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2(4),353-376.
MLA	Chang, Qianshun,et al."A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 2.4(2009):353-376.