| 权基本无振荡格式求解图像恢复问题 |
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| 引用本文： | 石玉英,常谦顺.权基本无振荡格式求解图像恢复问题[J].计算物理,2007,24(2):203-210. |
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| 作者姓名： | 石玉英 常谦顺 |
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| 作者单位： | 华北电力大学数理系,北京,102206;中国科学院数学与系统科学研究院应用数学所,北京,100080;中国科学院数学与系统科学研究院应用数学所,北京,100080 |
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| 摘 要： | 详细描述权基本无振荡格式解决基于全变分方法的图像恢复问题,考虑高斯核和不同的边界条件.采用权基本无振荡格式、维纳算法、权基本无振荡格式和维纳算法的联合三种方法对恢复问题进行数值试验,并对结果进行比较.试验结果显示权基本无振荡格式和维纳算法的联合方法的有效性.
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| 关 键 词： | 图像恢复 Dirichlet边界条件 周期边界条件 反射边界条件 权基本无振荡 |
| 文章编号： | 1001-246X（2007）02-0203-08 |
| 收稿时间： | 2005-09-05 |
| 修稿时间： | 2006-03-20 |
Weighted Essentially Non-oscillatory Schemes for Image Restoration |
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| SHI Yuying,CHANG Qianshun.Weighted Essentially Non-oscillatory Schemes for Image Restoration[J].Chinese Journal of Computational Physics,2007,24(2):203-210. |
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| Authors: | SHI Yuying CHANG Qianshun |
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| Institution: | 1. Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China; 2. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Graduate School of the Chinese Academy of Sciences, Belting 100080, China |
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| Abstract: | Weighted essentially non-oscillatory schemes are described in detail for a total variation-based image restoration problem with Gaussian kernel at different boundary conditions.Numerical results with three methods(weighted essentially non-oscillatory schemes,wiener algorithm and a combination of them) are compared. Experimental results demonstrate effectiveness of the combination of weighted essentially non-oscillatory schemes and wiener algorithm. |
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| Keywords: | image restoration Dirichlet BCs periodic BCs reflecting BCs weighted essentially non-oscillatory |
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