Cauchy noise removal by nonlinear diffusion equations

DOI10.1016/j.camwa.2020.08.027zbMath1496.94009OpenAlexW3088369595MaRDI QIDQ2212338

Gang Dong, Kehan Shi, Zhichang Guo

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.2020.08.027

zbMATH Keywords

total variationviscosity solutiondiffusion equationimage denoisingCauchy noise

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) 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)

Uses Software

• STABLE

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Image denoising and segmentation via nonlinear diffusion
• Cauchy noise removal by nonconvex ADMM with convergence guarantees
• Nonlocal myriad filters for Cauchy noise removal
• A variational model to remove the multiplicative noise in ultrasound images
• A convex adaptive total variation model based on the gray level indicator for multiplicative noise removal
• Image Quantization Using Reaction-Diffusion Equations
• Variational Approach for Restoring Blurred Images with Cauchy Noise
• Analysis of adaptive forward-backward diffusion flows with applications in image processing
• A Variational Approach to Removing Multiplicative Noise
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• User’s guide to viscosity solutions of second order partial differential equations
• Numerical calculation of stable densities and distribution functions
• Cauchy Estimation for Linear Scalar Systems
• Image Denoising Methods. A New Nonlocal Principle
• Image Processing and Analysis