| 全变差图像恢复的自适应步长梯度投影算法 |
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| 引用本文： | 张本鑫,朱志斌.全变差图像恢复的自适应步长梯度投影算法[J].自动化学报,2016,42(9):1347-1355. |
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| 作者姓名： | 张本鑫 朱志斌 |
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| 作者单位： | 1.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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| 基金项目： | 国家自然科学基金（11361018，11461015），广西省自然科学基金（2014GXNSFFA118001），广西自动检测技术与仪器重点实验室基金（YQ15112，YQ16112），广西高校科研一般项目（KY2016YB167），桂林市科技攻关项目（20140127-2），广西和桂林电子科技大学研究生教育创新计划项目（YJCXB201502）资助 |
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| 摘 要： | 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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| 关 键 词： | 梯度投影 全变差 自适应步长 改进的线搜索 图像恢复 |
| 收稿时间： | 2015-03-24 |
Gradient Projection Algorithm for Total Variation Image Restoration by Adaptive Steplength Selection Rules |
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| ZHANG Ben-Xin,ZHU Zhi-Bin.Gradient Projection Algorithm for Total Variation Image Restoration by Adaptive Steplength Selection Rules[J].Acta Automatica Sinica,2016,42(9):1347-1355. |
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| Authors: | ZHANG Ben-Xin ZHU Zhi-Bin |
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| Affiliation: | 1.School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 5410042.Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin 5410043.School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 5410044.Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004 |
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| Abstract: | 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. |
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| Keywords: | Gradient projection total variation adaptive steplength selection new line search image restoration |
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