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

<p>In this work and in the context of PDE constrained optimization problems, we are interested in identification of a parameter in the diffusion equation proposed in [1]. We propose to identify this parameter automatically by a gradient descent algorithm to improve the restoration of a noisy image. Finally, we give numerical results to illustrate the performance of the automatic selection of this parameter and compare our numerical results with other image denoising approaches or algorithms.</p>
</abstract>

In this work and in the context of PDE constrained optimization problems, we are interested in identification of a parameter in the diffusion equation proposed in [1]. We propose to identify this parameter automatically by a gradient descent algorithm to improve the restoration of a noisy image. Finally, we give numerical results to illustrate the performance of the automatic selection of this parameter and compare our numerical results with other image denoising approaches or algorithms.

Parameters identification for a nonlinear partial differential equation in image denoising

Moroccan Journal of Pure and Applied Analysis

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

In this work and in the context of PDE constrained optimization problems, we are interested in identification of a parameter in the diffusion equation proposed...

Parameters identification for a nonlinear partial differential equation in image denoising

Publié en ligne: 01 févr. 2023

Pages: 141 - 153

Reçu: 16 juin 2022

Accepté: 27 oct. 2022

DOI: https://doi.org/10.2478/mjpaa-2023-0010

Mots clés
Optimization problems, Diffusion equation, Parameters identification

© 2023 A. El Mourabit, published by Sciendo

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

Parameters identification for a nonlinear partial differential equation in image denoising

Publié en ligne: 01 févr. 2023

Pages: 141 - 153

Reçu: 16 juin 2022

Accepté: 27 oct. 2022

DOI: https://doi.org/10.2478/mjpaa-2023-0010

Mots clésOptimization problems, Diffusion equation, Parameters identification

© 2023 A. El Mourabit, published by Sciendo

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

Mots clés
Optimization problems, Diffusion equation, Parameters identification