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| 全变分图像去噪和去模糊问题的外插边值条件 | |
| 引用本文： | 徐静,石玉英,王肖玉.全变分图像去噪和去模糊问题的外插边值条件[J].计算物理,2007,24(3):353-360. |
| 作者姓名： | 徐静 石玉英 王肖玉 |
| 作者单位： | 1. 中科院应用数学研究所,数学与系统科学研究院,北京,100080 2. 华北电力大学(北京)数理系,北京,102206 3. 中国人民大学,北京,100872 |
| 摘 要： | 提出了适用于去模糊问题的外插边值条件,方法在一维信号下具有一阶连续性,在二维图像情况下具有连续性并保持法向导数的连续性.使用两种模型和两个模糊算子与Dirichlet,Neumann及逆反射边值条件进行了比较.之后在基于全变分图像去噪和去模糊问题的快速算法中应用了外插边值条件.数值实验表明了外插边值条件的有效性. |
| 关 键 词： | 去模糊 去噪声 边值条件(BCs) deblurring denoising boundary conditions(BCs) 全变分 图像去噪 模糊问题 边值条件 Denoising Image Deblurring Total Boundary Conditions Numerical results efficiency apply fast algorithms total image deblurring denoising models operators used normal |
| 文章编号： | 1001-246X（2007）03-0353-08 |
| 收稿时间： | 2005-10-08 |
| 修稿时间： | 2006-04-18 |
Extrapolation Boundary Conditions for Total Variation-based Image Deblurring and Denoising |
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| XU Jing,SHI Yuying,WANG Xiaoyu.Extrapolation Boundary Conditions for Total Variation-based Image Deblurring and Denoising[J].Chinese Journal of Computational Physics,2007,24(3):353-360. | |
| Authors: | XU Jing SHI Yuying WANG Xiaoyu |
| Institution: | 1. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100080, China ; 2. Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China; 3. Renmin University of China, Beijing 100872, China |
| Abstract: | We propose extrapolation boundary conditions(BCs) for blurring removal.They lead to C~1 continuity for one-dimensional signals and C~0 continuity with normal derivative continuity for images.Two models and two kinds of blurring operators are used in the extrapolation BCs with Dirichlet,Neumann and antireflective BCs.We apply extrapolation BCs to fast algorithms for total variation-based image deblurring and denoising.Numerical results illustrate efficiency of the extrapolation BCs. |
| Keywords: | deblurring denoising boundary conditions(BCs) |
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