Heat flows and related minimization problem in image restoration

DOI10.1016/S0898-1221(00)00048-1zbMath0957.65069MaRDI QIDQ1570158

Yunmei Chen, Celia A. Zorzo Barcelos

Publication date: 20 November 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitytotal variation minimizationviscosity solutionsimage restorationheat flow methodanisotropic diffusion model

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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Cites Work

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• Nonlinear total variation based noise removal algorithms
• A fast level set based algorithm for topology-independent shape modeling.
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Image denoising and segmentation via nonlinear diffusion
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• User’s guide to viscosity solutions of second order partial differential equations
• Iterative Methods for Total Variation Denoising

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