Some class of parabolic systems applied to image processing

DOI10.3934/dcdsb.2016017zbMath1352.35214OpenAlexW2463323949MaRDI QIDQ321693

Driss Meskine, Fahd Karami, Abdelghafour Atlas, Lekbir Afraites

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016017

zbMATH Keywords

Galerkin methodreaction-diffusion systemOrlicz spaceimage denoisingstaircase effect

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) PDEs in connection with information and communication (35Q94)

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Cites Work

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• Nonlinear total variation based noise removal algorithms
• On a reaction-diffusion system applied to image decomposition and restoration
• Reaction-diffusion systems with \(p(x)\)-growth for image denoising
• Degenerate parabolic equations
• A strongly nonlinear parabolic initial boundary value problem
• New diffusion models in image processing
• A class of nonlinear parabolic-hyperbolic equations applied to image restoration
• Image recovery via total variation minimization and related problems
• Modeling textures with total variation minimization and oscillating patterns in image processing
• Minimizing total variation flow
• Minimizers of the variable exponent, non-uniformly convex Dirichlet energy
• Analysis of the TV regularization and \(H^{-1}\) fidelity model for decomposing an image into cartoon plus texture
• The Perona-Malik inequality and application to image denoising
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Some approximation properties in Orlicz-Sobolev spaces
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• Image Decomposition and Restoration Using Total Variation Minimization and theH¹
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
• Parabolic Equations in Orlicz Spaces
• Ordinary Differential Equations

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