<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of this paper is to present the mathematical and numerical study of a nonlocal nonlinear model based on the variable exponent <italic>p</italic>(<italic>x</italic>)-Laplacian for removing Cauchy noise, which is a type of impulsive and non-Gaussian degradation. The proposed model benefits from the performance of the nonlocal approach to preserve small details and textures, and the efficiency of the variable exponent to reduce the execution time. To demonstrate the reliability of our proposed model, we provide some experimental denoising results and illustrate the comparison with some models from the literature.</p>
</abstract>

The aim of this paper is to present the mathematical and numerical study of a nonlocal nonlinear model based on the variable exponent p(x)-Laplacian for removing Cauchy noise, which is a type of impulsive and non-Gaussian degradation. The proposed model benefits from the performance of the nonlocal approach to preserve small details and textures, and the efficiency of the variable exponent to reduce the execution time. To demonstrate the reliability of our proposed model, we provide some experimental denoising results and illustrate the comparison with some models from the literature.

A Nonlocal Model for Reconstructing Images Corrupted by Cauchy Noise

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A Nonlocal Model for Reconstructing Images Corrupted by Cauchy Noise"}

The aim of this paper is to present the mathematical and numerical study of a nonlocal nonlinear model based on the variable exponent p(x)-Laplacian for...

A Nonlocal Model for Reconstructing Images Corrupted by Cauchy Noise

Published Online: Feb 01, 2023

Page range: 48 - 64

Received: Oct 11, 2022

Accepted: Nov 20, 2022

DOI: https://doi.org/10.2478/mjpaa-2023-0003

Keywords
Cauchy noise, Image processing, Optimization

© 2023 F. Bendaida, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A Nonlocal Model for Reconstructing Images Corrupted by Cauchy Noise

Published Online: Feb 01, 2023

Page range: 48 - 64

Received: Oct 11, 2022

Accepted: Nov 20, 2022

DOI: https://doi.org/10.2478/mjpaa-2023-0003

KeywordsCauchy noise, Image processing, Optimization

© 2023 F. Bendaida, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Cauchy noise, Image processing, Optimization