On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration

doi:10.1007/s10851-009-0160-3

	On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration
	Yu, Gaohang 1,2; Qi, Liqun 1; Dai, Yuhong3
	2009-10-01
发表期刊	JOURNAL OF MATHEMATICAL IMAGING AND VISION
ISSN	0924-9907
卷号	35 期号:2 页码:143-154
摘要	The main aim of this paper is to accelerate the Chambolle gradient projection method for total variation image restoration. In the proposed minimization method model, we use the well known Barzilai-Borwein stepsize instead of the constant time stepsize in Chambolle's method. Further, we adopt the adaptive nonmonotone line search scheme proposed by Dai and Fletcher to guarantee the global convergence of the proposed method. Numerical results illustrate the efficiency of this method and indicate that such a nonmonotone method is more suitable to solve some large-scale inverse problems.
关键词	Image restoration Total variation Gradient projection Constrained optimization
DOI	10.1007/s10851-009-0160-3
语种	英语
资助项目	Research Grant Council of Hong Kong ; Department of Applied Mathematics at the Hong Kong Polytechnic University[1-ZV0K] ; Ministry of Education of China[200805581022] ; National Natural Science Foundation of China[10571171] ; National Natural Science Foundation of China[10831006] ; National Natural Science Foundation of China[60804008] ; CAS[kjcx-yw-s7-03]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Artificial Intelligence ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000268191700004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8866
专题	计算数学与科学工程计算研究所
通讯作者	Yu, Gaohang
作者单位	1.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China 2.GanNan Normal Univ, Sch Math & Comp Sci, Key Lab Numer Simulat Technol, Ganzhou 341000, Jiangxi, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yu, Gaohang,Qi, Liqun,Dai, Yuhong. On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration[J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION,2009,35(2):143-154.
APA	Yu, Gaohang,Qi, Liqun,&Dai, Yuhong.(2009).On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration.JOURNAL OF MATHEMATICAL IMAGING AND VISION,35(2),143-154.
MLA	Yu, Gaohang,et al."On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration".JOURNAL OF MATHEMATICAL IMAGING AND VISION 35.2(2009):143-154.