全变差图像恢复的自适应步长梯度投影算法
针对图像去噪问题,本文基于全变差对偶公式提出一个新的梯度投影算法.算法采用改进的非单调线搜索和自适应BB（Barzilai-Borwein）步长,有效地改善了Chambolle梯度投影算法收敛慢的缺点.数值结果表明新算法优于一些已有的梯度投影算法....
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| Published in | 自动化学报 Vol. 42; no. 9; pp. 1347 - 1355 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
桂林电子科技大学广西高校数据分析与计算重点实验室 桂林 541004
2016
桂林电子科技大学广西自动检测技术与仪器重点实验室 桂林 541004%桂林电子科技大学数学与计算科学学院 桂林 541004 桂林电子科技大学电子工程与自动化学院 桂林 541004 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0254-4156 1874-1029 |
| DOI | 10.16383/j.aas.2016.c150146 |
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| Abstract | 针对图像去噪问题,本文基于全变差对偶公式提出一个新的梯度投影算法.算法采用改进的非单调线搜索和自适应BB（Barzilai-Borwein）步长,有效地改善了Chambolle梯度投影算法收敛慢的缺点.数值结果表明新算法优于一些已有的梯度投影算法. |
|---|---|
| AbstractList | 针对图像去噪问题，本文基于全变差对偶公式提出一个新的梯度投影算法。算法采用改进的非单调线搜索和自适应BB (Barzilai-Borwein)步长，有效地改善了Chambolle梯度投影算法收敛慢的缺点。数值结果表明新算法优于一些已有的梯度投影算法。 针对图像去噪问题,本文基于全变差对偶公式提出一个新的梯度投影算法.算法采用改进的非单调线搜索和自适应BB（Barzilai-Borwein）步长,有效地改善了Chambolle梯度投影算法收敛慢的缺点.数值结果表明新算法优于一些已有的梯度投影算法. |
| Abstract_FL | We propose a new gradient projection algorithm for image denoising based on the dual of total variation. The new method exploits nonmonotone line-search and adaptive steplength selection based on strategies for alternation of the well-known Barzilai-Borwein rules. The proposed method is much faster than the Chambolle0s gradient projection algorithm. Numerical results illustrate the e?ciency of this method. |
| Author | 张本鑫 朱志斌 |
| AuthorAffiliation | 桂林电子科技大学电子工程与自动化学院,桂林541004 桂林电子科技大学广西自动检测技术与仪器重点实验室,桂林541004 桂林电子科技大学数学与计算科学学院,桂林541004 桂林电子科技大学广西高校数据分析与计算重点实验室,桂林541004 |
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| Author_FL | ZHANG Ben-Xin ZHU Zhi-Bin |
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| DocumentTitleAlternate | Gradient Projection Algorithm for Total Variation Image Restoration by Adaptive Steplength Selection Rules |
| DocumentTitle_FL | Gradient Pro jection Algorithm for Total Variation Image Restoration by Adaptive Steplength Selection Rules |
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| Keywords | 改进的线搜索 全变差 image restoration 梯度投影 自适应步长 adaptive steplength selection 图像恢复 total variation new line search Gradient pro jection |
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| Notes | We propose a new gradient projection algorithm for image denoising based on the dual of total variation. The new method exploits nonmonotone line-search and adaptive steplength selection based on strategies for alternation of the well-known Barzilai-Borwein rules. The proposed method is much faster than the Chambolle＇s gradient projection algorithm. Numerical results illustrate the efficiency of this method. ZHANG Ben-Xin,ZHU Zhi-Bin （1. School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004 ;2. Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin 541004 ;3. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004 ;4. Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004_ Gradient projection, total variation, adaptive steplength selection, new line search, im |
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| PublicationTitle | 自动化学报 |
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| Publisher | 桂林电子科技大学广西高校数据分析与计算重点实验室 桂林 541004 桂林电子科技大学广西自动检测技术与仪器重点实验室 桂林 541004%桂林电子科技大学数学与计算科学学院 桂林 541004 桂林电子科技大学电子工程与自动化学院 桂林 541004 |
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| Snippet | 针对图像去噪问题,本文基于全变差对偶公式提出一个新的梯度投影算法.算法采用改进的非单调线搜索和自适应BB（Barzilai-Borwein）步长,有效地改善了Chambolle梯度投影算法... 针对图像去噪问题，本文基于全变差对偶公式提出一个新的梯度投影算法。算法采用改进的非单调线搜索和自适应BB (Barzilai-Borwein)步长，有效地改善了Chambolle梯度投影算法... |
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| SubjectTerms | 全变差 图像恢复 改进的线搜索 梯度投影 自适应步长 |
| Title | 全变差图像恢复的自适应步长梯度投影算法 |
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