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

文献类型：期刊论文

作者Chang, Qianshun1; Tai, Xuecheng2,3; Xing, Lily1
刊名NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
出版日期2009-11-01
卷号2期号:4页码:353-376
关键词Algorithm of denoising image restoration total variation second-order functional
ISSN号1004-8979
DOI10.4208/nmtma.2009.m9001s
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000274153400002
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7006]  
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.

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来源：数学与系统科学研究院

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