A novel robust fractional-time anisotropic diffusion for multi-frame image super-resolution

DOI10.1007/s10444-023-10079-3zbMath1527.35464OpenAlexW4388266245MaRDI QIDQ6063019

Anouar Ben-Loghfyry, Abdelilah Hakim

Publication date: 2 December 2023

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-023-10079-3

zbMATH Keywords

anisotropic diffusionCaputo derivativesuper resolutionfractional-timeWeickert model

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Point source super-resolution via non-convex \(L_1\) based methods
• Hitchhiker's guide to the fractional Sobolev spaces
• On Riemann-Liouville and Caputo derivatives
• A priori estimates for solutions of boundary value problems for fractional-order equations
• Variational contrast enhancement of gray-scale and RGB images
• Recent history of fractional calculus
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Implicit finite difference approximation for time fractional diffusion equations
• A super-resolution reconstruction algorithm for surveillance images
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On a Caputo-type fractional derivative
• A total fractional-order variation model for image super-resolution and its SAV algorithm
• A nonlocal Weickert type PDE applied to multi-frame super-resolution
• On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel
• An edge preserving high-order PDE for multiframe image super-resolution
• Variational Analysis in Sobolev and BV Spaces
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• Super Resolution Image Reconstruction Through Bregman Iteration Using Morphologic Regularization
• A denoising model based on the fractional Beltrami regularization and its numerical solution
• Robust time‐fractional diffusion filtering for noise removal

This page was built for publication: A novel robust fractional-time anisotropic diffusion for multi-frame image super-resolution