Combining Compact Finite Difference Schemes with Filters for Image Restoration

被引：0
作者：
Aghazadeh N. [1 ]
Akbarifard F. [1 ]
机构：
[1] Department of Applied Mathematics, Azarbaijan Shahid Madani University, Tabriz
来源：
Computational Mathematics and Modeling | 2016年 / 27卷 / 2期
关键词：
boundary conditions; Compact finite difference; filter; image restoration; ROF model;
D O I：
10.1007/s10598-016-9315-4
中图分类号：
学科分类号：
摘要：
In this study, the Rudin, Osher, and Fatemi (ROF) model is considered to restore images. To this end, the compact finite difference (CFD) method is introduced to approximate the spatial derivatives in the ROF model. Moreover, two filters are presented to improve the performance of the first- and second-order derivative approximation. The third-order total variation diminishing Runge-Kutta (TVD-RK3) method is applied to solve the obtained system along the time axis. Two examples are given to show the efficiency and accuracy of the method. © 2016, Springer Science+Business Media New York.
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页码：206 / 216
页数：10
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