A \(TV-L^2-H^{-1}\) PDE model for effective denoising

DOI10.1016/j.camwa.2020.09.009zbMath1452.35072OpenAlexW3089999534MaRDI QIDQ2212329

Yanyan Li

Publication date: 20 November 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.09.009

zbMATH Keywords

convexity splitting method for timeFourier spectral method for space

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

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Uses Software

• Fiji

Cites Work

• Nonlinear total variation based noise removal algorithms
• An anisotropic fourth-order diffusion filter for image noise removal
• Unconditionally stable schemes for higher order inpainting
• Image textures and Gibbs random fields
• Fourth-order partial differential equations for noise removal
• Adaptive wavelet thresholding for image denoising and compression
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• High-Order Total Variation-Based Image Restoration
• De-noising by soft-thresholding
• Patch-Based Near-Optimal Image Denoising
• A Review of Image Denoising Algorithms, with a New One