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RESEARCH ARTICLE

Computational aspects of the crop field segmentation problem based on anisotropic active contour model

Ciro D’Apice1 ,  Umberto De Maio2 ,  Peter I. Kogut3,4 ,  Rosanna Manzo4*
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1 Department of Management Innovation Systems, University of Salerno, Fisciano, Italy
2 Department of Mathematics and Applications “R. Caccioppoli”, University of Naples “Federico II”, Naples, Italy
3 Department of Differential Equations, Oles Honchar Dnipro National University, Dnipro, Ukraine
4 EOS Data Analytics Ukraine, Dnipro, Ukraine
5 Department of Political and Communication Sciences, University of Salerno, Fisciano, Italy
IJOCTA, 025060018 https://doi.org/10.36922/IJOCTA025060018
Received: 4 February 2025 | Revised: 4 April 2025 | Accepted: 11 April 2025 | Published online: 20 May 2025
© 2025 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

In this paper, we analyze the numerical aspects of the practical implementation of the generalized active contour model, that has been recently proposed in the literature, for extracting agricultural crop fields with a high level of inhomogeneity from satellite data. We also derive the corresponding Euler–Lagrange equation and discuss its relaxation method.

Keywords
Segmentation problem
Piecewise smooth approximation
Optimality conditions
Active contour model
Euler-Lagrange equation
Funding
None.
Conflict of interest
The authors declare no conflict of interest.
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An International Journal of Optimization and Control: Theories & Applications, Electronic ISSN: 2146-5703 Print ISSN: 2146-0957, Published by AccScience Publishing
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