Well-posedness for a class of fourth order diffusions for image processing

DOI10.1007/s00030-011-0101-xzbMath1227.35149OpenAlexW2045671291MaRDI QIDQ640383

Kate Longo, Patrick Guidotti

Publication date: 18 October 2011

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-011-0101-x

zbMATH Keywords

maximal regularityimage denoisingnonlinear diffusions

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Degenerate parabolic equations (35K65) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59) PDEs in connection with computer science (35Q68)

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Cites Work

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• Fractional differentiation for edge detection
• A new well-posed nonlinear nonlocal diffusion
• A new nonlocal nonlinear diffusion of image processing
• Bounded \(H_ \infty\)-calculus for elliptic operators
• Two enhanced fourth order diffusion models for image denoising
• Fourth-order partial differential equations for noise removal
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• A General Structure Tensor Concept and Coherence-Enhancing Diffusion Filtering for Matrix Fields
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• The Perona--Malik Paradox
• 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
• The Nemitskii Operator in Hölder Spaces: Some Necessary and Sufficient Conditions
• A Review of Image Denoising Algorithms, with a New One
• Scale Space and PDE Methods in Computer Vision

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