Two enhanced fourth order diffusion models for image denoising

DOI10.1007/s10851-010-0256-9zbMath1255.68235OpenAlexW2039874504MaRDI QIDQ1932853

Patrick Guidotti, Kate Longo

Publication date: 22 January 2013

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-010-0256-9

zbMATH Keywords

fractional derivativesnonlinear diffusionimage denoisingfourth order

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Machine vision and scene understanding (68T45)

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Cites Work

• Unnamed Item
• Unnamed Item
• Well-posedness for a class of fourth order diffusions for image processing
• Enhancement of Krylov subspace spectral methods by block Lanczos iteration
• Fractional differentiation for edge detection
• A new well-posed nonlinear nonlocal diffusion
• Properties of higher order nonlinear diffusion filtering
• A new nonlocal nonlinear diffusion of image processing
• 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
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• The Perona--Malik Paradox
• High-Order Total Variation-Based Image Restoration
• Low‐curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes
• Time-delay regularization of anisotropic diffusion and image processing
• A Review of Image Denoising Algorithms, with a New One
• Scale Space and PDE Methods in Computer Vision
• On the incorporation of time-delay regularization into curvature-based diffusion

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