Convergence of a finite volume scheme for a parabolic system applied to image processing

DOI10.2478/mjpaa-2022-0027MaRDI QIDQ6553743

Abdelghafour Atlas, Jamal Attmani, Fahd Karami

Publication date: 11 June 2024

Published in: Moroccan Journal of Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencefinite volume methodimage processingPerona-Malik equationnonlinear reaction-diffusion

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Reaction-diffusion equations (35K57) 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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Some class of parabolic systems applied to image processing
• Reaction-diffusion systems with \(p(x)\)-growth for image denoising
• Convergence of a finite volume scheme for the bidomain model of cardiac tissue
• Image recovery via total variation minimization and related problems
• Variational Analysis in Sobolev and BV Spaces
• Explicit FV Scheme for the Perona-Malik Equation
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
• Image Decomposition and Restoration Using Total Variation Minimization and theH¹
• Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing

Related Items (1)

Optimal control problem with nonlinear fractional system constraint applied to image restoration

This page was built for publication: Convergence of a finite volume scheme for a parabolic system applied to image processing