Adaptive Perona-Malik Model Based on the Variable Exponent for Image Denoising

被引:98
|
作者
Guo, Zhichang [1 ]
Sun, Jiebao [1 ]
Zhang, Dazhi [1 ]
Wu, Boying [1 ]
机构
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
关键词
Diffusion mode; edge indicator; forward and backward diffusion; Perona-Malik (PM) equation; variable exponent; EDGE-DETECTION; ANISOTROPIC DIFFUSION; NONLINEAR DIFFUSION; COMMON FRAMEWORK; EFFICIENT;
D O I
10.1109/TIP.2011.2169272
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper introduces a class of adaptive Perona-Malik (PM) diffusion, which combines the PM equation with the heat equation. The PM equation provides a potential algorithm for image segmentation, noise removal, edge detection, and image enhancement. However, the defect of traditional PM model is tending to cause the staircase effect and create new features in the processed image. Utilizing the edge indicator as a variable exponent, we can adaptively control the diffusion mode, which alternates between PM diffusion and Gaussian smoothing in accordance with the image feature. Computer experiments indicate that the present algorithm is very efficient for edge detection and noise removal.
引用
收藏
页码:958 / 967
页数:10
相关论文
共 50 条
  • [21] Strong solutions for the generalized Perona-Malik equation for image restoration
    Jin, Zhengmeng
    Yang, Xiaoping
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (04) : 1077 - 1084
  • [22] An image inpainting model based on the mixture of Perona-Malik equation and Cahn-Hilliard equation
    Zou, Qing
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 66 (1-2) : 21 - 38
  • [23] From Mumford-Shah to Perona-Malik in image processing
    Kawohl, B
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (15) : 1803 - 1814
  • [24] IMAGE RESTORATION USING A NOVEL MODEL COMBINING THE PERONA-MALIK EQUATION AND THE HEAT EQUATION
    Lecheheb, Samira
    Maouni, Messaoud
    Lakhal, Hakim
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2021, 19 (02): : 228 - 238
  • [25] Combining SVD-DCT Image Watermarking Scheme Based on Perona-Malik Diffusion
    Belilita, Sarra
    Amardjia, Nourredine
    Bekkouche, Tewfik
    Nouioua, Imen
    [J]. ELEKTRONIKA IR ELEKTROTECHNIKA, 2019, 25 (04) : 68 - 74
  • [26] Enhancing image denoising: A novel non-local anisotropic diffusion framework based on Caputo derivatives and Gaussian convolution for the Perona-Malik model
    Kassimi, S.
    Moussa, H.
    Sabiki, H.
    [J]. SIGNAL PROCESSING, 2024, 222
  • [27] A splitting algorithm for a novel regularization of Perona-Malik and application to image restoration
    Karami, Fahd
    Ziad, Lamia
    Sadik, Khadija
    [J]. EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING, 2017,
  • [28] A splitting algorithm for a novel regularization of Perona-Malik and application to image restoration
    Fahd Karami
    Lamia Ziad
    Khadija Sadik
    [J]. EURASIP Journal on Advances in Signal Processing, 2017
  • [29] Mixed Finite Element Approximation for Bivariate Perona-Malik Model Arising in 2D and 3D Image Denoising
    Hjouji, Amal
    Jourhmane, Mostafa
    EL-Mekkaoui, Jaouad
    Es-sabry, Mohammed
    [J]. 3D RESEARCH, 2018, 9 (03):
  • [30] A New Hybrid Approach with Perona-Malik Improvement for Multi-focus Image Fusion
    Aymaz, Samet
    Dizdaroglu, Bekir
    Kose, Cemal
    Aymaz, Seyma
    [J]. 2018 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND DATA PROCESSING (IDAP), 2018,