Nonlinear PDE Model for Image Restoration Using Second-Order Hyperbolic Equations

DOI10.1080/01630563.2015.1066388zbMath1336.35246OpenAlexW1933729660WikidataQ113094711 ScholiaQ113094711MaRDI QIDQ2795094

Tudor Barbu

Publication date: 18 March 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1066388

zbMATH Keywords

hyperbolic diffusion equationnumerical discretization schemedetail-preserving filteringimage denoising and restoration

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Second-order quasilinear hyperbolic equations (35L72)

Related Items (3)

An Efficient Feature-Preserving Image Denoising Algorithm Based on a Spatial-Fractional Anisotropic Diffusion Equation ⋮ Unnamed Item ⋮ A hyperbolic partial differential equation model for filtering turbulent flows

Cites Work

• Nonlinear total variation based noise removal algorithms
• A PDE variational approach to image denoising and restoration
• 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
• Split Bregman Methods and Frame Based Image Restoration
• Novel Linear Image Denoising Approach Based on a Modified Gaussian Filter Kernel
• Higher Degree Total Variation (HDTV) Regularization for Image Recovery
• Unnamed Item

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