On a cross-diffusion system arising in image denoising

DOI10.1016/j.camwa.2018.05.035zbMath1435.94015arXiv1703.02487OpenAlexW2806420246WikidataQ129658374 ScholiaQ129658374MaRDI QIDQ2338343

Julián Velasco, Gonzalo Galiano

Publication date: 21 November 2019

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

Full work available at URL: https://arxiv.org/abs/1703.02487

zbMATH Keywords

existence of solutionssimulationsdenoisingcross-diffusionPerona-Malik

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Weak solutions to PDEs (35D30)

Related Items

Delay-driven instability and ecological control in a food-limited population networked system ⋮ Magnetic resonance images denoising using a wavelet solution to Laplace equation associated with a new variational model ⋮ Hopf bifurcation in an activator-inhibitor system with network ⋮ Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting

Uses Software

• deal.ii

Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion
• On a cross-diffusion population model deduced from mutation and splitting of a single species
• Neighborhood filters and the decreasing rearrangement
• On a fast bilateral filtering formulation using functional rearrangements
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• Digital picture processing. An introduction. Transl. from the Russian
• Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
• Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
• Pattern formation driven by cross-diffusion in a 2D domain
• Analysis of a parabolic cross-diffusion population model without self-diffusion
• On a cross-diffusion segregation problem arising from a model of interacting particles
• Linear and quasilinear elliptic equations
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
• The boundedness-by-entropy method for cross-diffusion systems
• Entropy, Duality, and Cross Diffusion
• A Review of Image Denoising Algorithms, with a New One