Parameters identification for a nonlinear partial differential equation in image denoising

A. El Mourabit

doi:10.2478/mjpaa-2023-0010

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Parameters identification for a nonlinear partial differential equation in image denoising

Moroccan Journal of Pure and Applied Analysis

Volume 9 (2023): Issue 1 (January 2023)

By: A. El Mourabit

Open Access

|Feb 2023

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.

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