权基本无振荡格式求解图像恢复问题

计算物理 ›› 2007, Vol. 24 ›› Issue (2): 203-210.

权基本无振荡格式求解图像恢复问题

石玉英^1,2, 常谦顺²

1. 华北电力大学数理系, 北京 102206;
2. 中国科学院数学与系统科学研究院应用数学所, 北京 100080

收稿日期:2005-09-05 修回日期:2006-03-20 出版日期:2007-03-25 发布日期:2007-03-25
作者简介:石玉英(1976-),Femaie,Shandong,Doctor,Partial Differemtial Equation and Image Processing.

Weighted Essentially Non-oscillatory Schemes for Image Restoration

SHI Yuying^1,2, CHANG Qianshun²

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

Received:2005-09-05 Revised:2006-03-20 Online:2007-03-25 Published:2007-03-25

摘要/Abstract

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.

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

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.

Key words: image restoration, Dirichlet BCs, periodic BCs, reflecting BCs, weighted essentially non-oscillatory

中图分类号:

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.

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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