Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi1 ; Huang, Yu-Mei2; Ng, Michael K.3; Yang, Xi1
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| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2010-11-01 |
| 卷号 | 3期号:4页码:461-474 |
| 关键词 | Edge-preserving image restoration multiplicative half-quadratic regularization Newton method preconditioned conjugate gradient method constraint preconditioner eigenvalue bounds |
| ISSN号 | 1004-8979 |
| DOI | 10.4208/nmtma.2010.m9014 |
| 英文摘要 | Image restoration is often solved by minimizing an energy function consisting of a data-fidelity term and a regularization term. A regularized convex term can usually preserve the image edges well in the restored image. In this paper, we consider a class of convex and edge-preserving regularization functions, i.e., multiplicative half-quadratic regularizations, and we use the Newton method to solve the correspondingly reduced systems of nonlinear equations. At each Newton iterate, the preconditioned conjugate gradient method, incorporated with a constraint preconditioner, is employed to solve the structured Newton equation that has a symmetric positive definite coefficient matrix. The eigenvalue bounds of the preconditioned matrix are deliberately derived, which can be used to estimate the convergence speed of the preconditioned conjugate gradient method. We use experimental results to demonstrate that this new approach is efficient, and the effect of image restoration is reasonably well. |
| 资助项目 | National Basic Research Program[2005CB321702] ; National Outstanding Young Scientist Foundation[10525102] ; Specialized Research Grant for High Educational Doctoral Program[20090211120011] ; Specialized Research Grant for High Educational Doctoral Program[LZULL200909] ; Hong Kong RGC ; HKBU FRGs |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000284725400005 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10868]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Bai, Zhong-Zhi |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Zhong-Zhi,Huang, Yu-Mei,Ng, Michael K.,et al. Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2010,3(4):461-474. |
| APA | Bai, Zhong-Zhi,Huang, Yu-Mei,Ng, Michael K.,&Yang, Xi.(2010).Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,3(4),461-474. |
| MLA | Bai, Zhong-Zhi,et al."Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 3.4(2010):461-474. |
入库方式： OAI收割
来源：数学与系统科学研究院
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