Time-fractional diffusion equation for signal and image smoothing-Reference-Cited by-同舟云学术

Time-fractional diffusion equation for signal and image smoothing

Published:2022 Issue:2 Volume:9 Page:351-364
ISSN:2312-9794
Container-title:Mathematical Modeling and Computing
language:
Short-container-title:Math. Model. Comput.

Author:

Ben-Loghfyry A., ,Hakim A.,

Abstract

In this paper, we utilize a time-fractional diffusion equation for image denoising and signal smoothing. A discretization of our model is provided. Numerical results show some remarkable results with a great performance, visually and quantitatively, compared to some well known competitive models.

Publisher

Lviv Polytechnic National University

Subject

Computational Theory and Mathematics,Computational Mathematics

Reference29 articles.

1. Ben-loghfyry A., Hakim A. Robust time-fractional diffusion filtering for noise removal. Mathematical Methods in the Applied Sciences. 1-17 (2022).

2. El Alaoui El Fels A., Ben-loghfyry A., El Ghorfi M. Performance of denoising algorithms in the improvement of lithological discrimination. Modeling Earth Systems and Environment. 1-8 (2022).

3. Hakim A., Ben-Loghfyry A. A total variable-order variation model for image denoising. AIMS Mathematics. 4 (5), 1320-1335 (2019).

4. A regularization parameter selection model for total variation based image noise removal;Pan;Applied Mathematical Modelling,2019

5. Laghrib A., Ben-Loghfyry A., Hadri A., Hakim A. A nonconvex fractional order variational model for multi-frame image super-resolution. Signal Processing: Image Communication. 67, 1-11 (2018).

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