Color image restoration by filtering methods: a review

N Salamat, MMS Missen, N Akhtar, M Mustahsan… - Soft Computing, 2024 - Springer
Digital images are corrupted with noise, and image denoising is an important step in image
processing modules. In this review, the latest developments in filtering methods for color …

A regularization by denoising super-resolution method based on genetic algorithms

M Nachaoui, L Afraites, A Laghrib - Signal Processing: Image …, 2021 - Elsevier
Increasing the resolution of an image is an actual and extensively studied problem in image
processing. Recently, Regularization by Denoising (RED) showing that any inverse problem …

Advanced fuzzy denoising technique for agricultural remote sensing: modified partition filter for suppressing impulsive

E Alhatami, UA Bhatti, H MengXing, S Feng - IEEE Access, 2024 - ieeexplore.ieee.org
Image denoising is a critical challenge in digital image processing, particularly when dealing
with random-value impulse noise (RVIN). Existing methods for RVIN detection and removal …

On the numerical approximation of some inverse problems governed by nonlinear delay differential equation

M Nachaoui, A Nachaoui, T Tadumadze - RAIRO-Operations Research, 2022 - rairo-ro.org
The paper deals with the approximate solving of an inverse problem for the nonlinear delay
differential equation, which consists of finding the initial moment and delay parameter based …

Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation

A Oulmelk, M Srati, L Afraites… - Discrete and Continuous …, 2025 - aimsciences.org
In this paper, we study the inverse problem of identifying the parameters in a nonlinear
subdiffusion model from an observation defined in the given Ω1 subset of Ω. The nonlinear …

An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation

A Oulmelk, L Afraites, A Hadri - Computational and Applied Mathematics, 2023 - Springer
The paper deals with an inverse problem of identifying parameters in a nonlinear
subdiffusion model from a final observation. The nonlinear subdiffusion model involves a …

An efficient primal-dual method for solving non-smooth machine learning problem

S Lyaqini, M Nachaoui, A Hadri - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper deals with the machine learning model as a framework of regularized loss
minimization problem in order to obtain a generalized model. Recently, some studies have …

A new learning space-variant anisotropic constrained-PDE for image denoising

A Hadri, A Laghrib, I El Mourabit - Applied Mathematical Modelling, 2024 - Elsevier
In this paper, we propose an improved enhancement space-variant anisotropic PDE-
constrained for image denoising, based on a learning optimization procedure. Since the …

Fractional optimal control for deep convolutional neural networks exploring ODE-based solutions for image denoising

F Limami, A Hadri, A Laghrib… - Inverse Problems and …, 2025 - aimsciences.org
In recent years, Deep Convolutional Neural Networks (DCNNs) have been shown to be
effective in low-level vision tasks such as image denoising. DCNN backpropagation is …

Learning nonlocal weights for second-order nonlocal super-resolution

A Laghrib, FZA Bella, M Nachaoui… - Discrete and Continuous …, 2025 - aimsciences.org
This research introduces an enhanced approach for multiframe super-resolution (SR) that
incorporates a bilevel optimization technique for learning the space variable weights …