The Perona-Malik inequality and application to image denoising

被引：18
|
作者：
Atlas, A. [1 ]
Karami, F. [2 ]
Meskine, D. [2 ]
机构：
[1] Univ Cadi Ayyad, Ecole Natl Sci Appl Safi, Safi, Morocco
[2] Univ Cadi Ayyad, Ecole Super Technol Essaouira, Essaouira, Morocco
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 18卷
关键词：
D O I：
10.1016/j.nonrwa.2013.11.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the mathematical and numerical study of a variational model of the image denoising equation derived from the Perona-Malik equation. The diffusion resulting from the proposed model is a combination of the Perona-Malik and p-Laplacian operators. The existence and uniqueness of the asymptotic behavior as p -> infinity of the proposed model are established. We also give some numerical implementation details and show experimental results on examples images which prove the efficiency and effectiveness of our model. (C) 2014 Published by Elsevier Ltd.
引用
收藏
页码：57 / 68
页数：12
相关论文
共 50 条
  • [31] TIME-DELAYED PERONA-MALIK TYPE PROBLEMS
    Amann, H.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2007, 76 (01): : 15 - 38
  • [32] Semi-group theory for the Perona-Malik equation
    Kichenassamy, Satyanad
    COMPTES RENDUS MATHEMATIQUE, 2007, 344 (04) : 225 - 229
  • [33] A New Hybrid Approach with Perona-Malik Improvement for Multi-focus Image Fusion
    Aymaz, Samet
    Dizdaroglu, Bekir
    Kose, Cemal
    Aymaz, Seyma
    2018 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND DATA PROCESSING (IDAP), 2018,
  • [34] Perona-Malik模型离散格式的改进
    赵凤群
    智佳
    戴芳
    李晓伟
    西安工业大学学报, 2007, (01) : 83 - 87
  • [35] An Example of Global Classical Solution for the Perona-Malik Equation
    Ghisi, Marina
    Gobbino, Massimo
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (08) : 1318 - 1352
  • [36] Combining SVD-DCT Image Watermarking Scheme Based on Perona-Malik Diffusion
    Belilita, Sarra
    Amardjia, Nourredine
    Bekkouche, Tewfik
    Nouioua, Imen
    ELEKTRONIKA IR ELEKTROTECHNIKA, 2019, 25 (04) : 68 - 74
  • [37] Classification of equilibria and Γ-convergence for the discrete Perona-Malik functional
    G. Bellettini
    M. Novaga
    M. Paolini
    C. Tornese
    Calcolo, 2009, 46 : 221 - 243
  • [38] 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
  • [39] Image smoothing using the Perona-Malik equation with a new estimation method of the contrast parameter
    Borroto-Fernandez, M.
    Leon-Mecias, A.
    Gonzalez-Hidalgo, M.
    COMPUTATIONAL VISION AND MEDICAL IMAGE PROCESSING IV, 2014, : 59 - 64
  • [40] Young measure solutions of the two-dimensional Perona-Malik equation in image processing
    Chen, Y
    Zhang, KW
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2006, 5 (03) : 615 - 635
12345