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.
引用
收藏
页码：206 / 216
页数：10
相关论文
共 50 条
  • [31] Towards a genuinely stable boundary closure for pentadiagonal compact finite difference schemes
    Wu, Long
    Kim, Jae Wook
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2024, 504
  • [32] Compact finite difference schemes of arbitrary order for the Poisson equation in arbitrary dimensions
    Erwan Deriaz
    [J]. BIT Numerical Mathematics, 2020, 60 : 199 - 233
  • [33] COMPACT FINITE DIFFERENCE SCHEMES OF THE TIME FRACTIONAL BLACK-SCHOLES MODEL
    Tian, Zhaowei
    Zhai, Shuying
    Weng, Zhifeng
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (03): : 904 - 919
  • [34] Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations
    Han Zhou
    WenYi Tian
    Weihua Deng
    [J]. Journal of Scientific Computing, 2013, 56 : 45 - 66
  • [35] COMPACT FINITE-DIFFERENCE SCHEMES FOR THE EULER AND NAVIER-STOKES EQUATIONS
    ROSE, ME
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1983, 49 (03) : 420 - 442
  • [36] Prefactored optimized compact finite-difference schemes for second spatial derivatives
    Zhou, Hongbo
    Zhang, Guanquan
    [J]. GEOPHYSICS, 2011, 76 (05) : WB87 - WB95
  • [37] High-resolution finite compact difference schemes for hyperbolic conservation laws
    Shen, YQ
    Yang, GW
    Gao, Z
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 216 (01) : 114 - 137
  • [38] Compact Schemes for Multiscale Flows with Cell-Centered Finite Difference Method
    Yao Jin
    Fei Liao
    Jinsheng Cai
    [J]. Journal of Scientific Computing, 2020, 85
  • [39] HIGH ORDER COMPACT FINITE DIFFERENCE SCHEMES FOR THE HELMHOLTZ EQUATION WITH DISCONTINUOUS COEFFICIENTS
    Feng, Xiufang
    Li, Zhilin
    Qiao, Zhonghua
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 29 (03) : 324 - 340
  • [40] Compact Schemes for Multiscale Flows with Cell-Centered Finite Difference Method
    Jin, Yao
    Liao, Fei
    Cai, Jinsheng
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2020, 85 (01)
12345