On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration
文献类型：期刊论文
| 作者 | Yu, Gaohang1,2; Qi, Liqun1; Dai, Yuhong3
|
| 刊名 | JOURNAL OF MATHEMATICAL IMAGING AND VISION
 |
| 出版日期 | 2009-10-01 |
| 卷号 | 35期号:2页码:143-154 |
| 关键词 | Image restoration Total variation Gradient projection Constrained optimization |
| ISSN号 | 0924-9907 |
| DOI | 10.1007/s10851-009-0160-3 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000268191700004 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8865]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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