Time-delay regularization of anisotropic diffusion and image processing

DOI10.1051/m2an:2005010zbMath1101.68102OpenAlexW2149396808MaRDI QIDQ5315506

Abdelmounim Belahmidi, Antonin Chambolle

Publication date: 8 September 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_2_231_0

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (13)

On a parabolic-hyperbolic filter for multicolor image noise reduction ⋮ PDE-based signal quantization ⋮ Two enhanced fourth order diffusion models for image denoising ⋮ On the existence and uniqueness of weak solutions of a coupled diffusion system related to image restoration ⋮ Measure-Valued Solutions to a Nonlinear Fourth-Order Regularization of Forward-Backward Parabolic Equations ⋮ Upper bounds on the coarsening rate of discrete, ill‐posed nonlinear diffusion equations ⋮ A backward-forward regularization of the Perona-Malik equation ⋮ On a system of adaptive coupled PDEs for image restoration ⋮ A global sparse gradient based coupled system for image denoising ⋮ A new well-posed nonlinear nonlocal diffusion ⋮ Theoretical Analysis of Flows Estimating Eigenfunctions of One-Homogeneous Functionals ⋮ Weighted and well-balanced anisotropic diffusion scheme for image denoising and restoration ⋮ A new nonlocal nonlinear diffusion of image processing

Cites Work

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• Axioms and fundamental equations of image processing
• Introduction à la théorie des points critiques et applications aux problèmes elliptiques
• Maximum and comparison principle for one-dimensional anisotropic diffusion
• Elliptic partial differential equations of second order
• Motion of hypersurfaces and geometric equations
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• The Perona--Malik Paradox
• An analysis of the Perona-Malik scheme

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