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Open AccessArticle

Admissible Perturbation of Demicontractive Operators within Ant Algorithms for Medical Images Edge Detection

Technical University of Cluj-Napoca, North University Center of Baia Mare, 400114 Cluj-Napoca, Romania
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Mathematics 2020, 8(6), 1040; https://doi.org/10.3390/math8061040
Received: 24 May 2020 / Revised: 23 June 2020 / Accepted: 23 June 2020 / Published: 26 June 2020
(This article belongs to the Special Issue Computational Intelligence)
Nowadays, demicontractive operators in terms of admissible perturbation are used to solve difficult tasks. The current research uses several demicontractive operators in order to enhance the quality of the edge detection results when using ant-based algorithms. Two new operators are introduced, χ -operator and K H -operator, the latter one is a Krasnoselskij admissible perturbation of a demicontractive operator. In order to test the efficiency of the new operators, a comparison is made with a trigonometric operator. Ant Colony Optimization (ACO) is the solver chosen for the images edge detection problem. Demicontractive operators in terms of admissible perturbation are used during the construction phase of the matrix of ants artificial pheromone, namely the edge information of an image. The conclusions of statistical analysis on the results shows a positive influence of proposed operators for image edge detection of medical images. View Full-Text
Keywords: fixed point; Krasnoselskij iteration; admissible perturbation; Ant Colony Optimization fixed point; Krasnoselskij iteration; admissible perturbation; Ant Colony Optimization
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Ticala, C.; Zelina, I.; Pintea, C.-M. Admissible Perturbation of Demicontractive Operators within Ant Algorithms for Medical Images Edge Detection. Mathematics 2020, 8, 1040.

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