Strong solutions for the generalized Perona-Malik equation for image restoration

DOI10.1016/j.na.2010.04.039zbMath1194.35503OpenAlexW1994751635WikidataQ113100451 ScholiaQ113100451MaRDI QIDQ984076

Xiao-Ping Yang, Zheng Meng Jin

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.039

zbMATH Keywords

existenceuniquenessimage restorationPerona-Malik equation

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Inverse problems for PDEs (35R30)

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Cites Work

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• Image recovery via total variation minimization and related problems
• \(H^ 1\) solutions of a class of fourth order nonlinear equations for image processing.
• Fourth-order partial differential equations for noise removal
• On Cahn-Hilliard type equations
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• High-Order Total Variation-Based Image Restoration
• Traveling Wave Solutions of Fourth Order PDEs for Image Processing
• Low‐curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes