Work

On Anisotropic Variational Model for SAR Image Despeckling

Year: 2025

Type: article

Abstract: Mostly motivated by practical applications especially in the field of satellite remote sensing of agricultural territories, we develop a novel approach to SAR image despeckling based on minimization of a special anisotropic energy functional. We propose a new statement of this problem in the weighted Sobolev spaces, provide a rigorous mathematical analysis of the proposed optimization problem, establish sufficient conditions of its solvability, show that the objective functional is Gateaux differentiable, and derive the corresponding optimality conditions. To illustrate the validity of the obtained results, we give some examples of numerical simulations with real satellite SAR images

Source: Journal of Optimization Differential Equations and their Applications

DOI: 10.15421/142505

Authors: Natalya Ivanchuk, Peter Kogut

Institutions: National University of Water and Environmental Engineering, Oles Honchar Dnipro National University

Language: English

Topic: Image and Signal Denoising Methods

Subfield: Computer Vision and Pattern Recognition

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411219259

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