Perona-Malik equation: Properties of explicit finite volume scheme

被引:0
|
作者
Handlovicova, Angela [1 ]
机构
[1] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia
关键词
Perona-Malik equation; finite volume method; consistency; stability monotonicity property;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The Perona-Malik nonlinear parabolic problem, which is widely used in image processing, is investigated in this paper from the numerical point of view. An explicit finite volume numerical scheme for this problem is presented and consistency property is proved.
引用
收藏
页码:523 / 532
页数:10
相关论文
共 50 条
  • [21] Modified Perona-Malik equation and computer simulation for image denoising
    Feng, Zheng Jian
    Chengwei, Huang
    Ji, Zhang
    Feng, Z. J. (czzhengjianfeng@163.com), 1600, Bentham Science Publishers B.V., P.O. Box 294, Bussum, 1400 AG, Netherlands (08): : 37 - 41
  • [22] Ramp preserving Perona-Malik model
    Chen, Qiang
    Montesinos, Philippe
    Sen Sun, Quan
    Xia, De Shen
    SIGNAL PROCESSING, 2010, 90 (06) : 1963 - 1975
  • [23] Wavefronts for Generalized Perona-Malik Equations
    Corli, Andrea
    Malaguti, Luisa
    Sovrano, Elisa
    HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL I, HYP2022, 2024, 34 : 227 - 236
  • [24] New estimation method of the contrast parameter for the Perona-Malik diffusion equation
    Borroto-Fernandez, M.
    Gonzalez-Hidalgo, M.
    Leon-Mecias, A.
    COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING-IMAGING AND VISUALIZATION, 2016, 4 (3-4): : 238 - 252
  • [25] The Magic of Nonlocal Perona-Malik Diffusion
    Li, Xin
    IEEE SIGNAL PROCESSING LETTERS, 2011, 18 (09) : 533 - 534
  • [26] Existence result and approximation of an optimal control problem for the Perona-Malik equation
    Kogut, Peter
    Kohut, Yaroslav
    Manzo, Rosanna
    RICERCHE DI MATEMATICA, 2024, 73 (04) : 1945 - 1962
  • [27] SLOW TIME BEHAVIOR OF THE SEMIDISCRETE PERONA-MALIK SCHEME IN ONE DIMENSION
    Colombo, Maria
    Gobbino, Massimo
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2011, 43 (06) : 2564 - 2600
  • [28] The Perona-Malik method as an edge pruning algorithm
    Kichenassamy, Satyanad
    JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2008, 30 (02) : 209 - 219
  • [29] A Two Level Finite Volume Method for Perona and Malik Equation Used in Denoising
    He, Guoliang
    Yang, Liu
    2016 9TH INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, BIOMEDICAL ENGINEERING AND INFORMATICS (CISP-BMEI 2016), 2016, : 240 - 245
  • [30] IMAGE RESTORATION USING A NOVEL MODEL COMBINING THE PERONA-MALIK EQUATION AND THE HEAT EQUATION
    Lecheheb, Samira
    Maouni, Messaoud
    Lakhal, Hakim
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2021, 19 (02): : 228 - 238