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

Cristina Ticala, Ioana Zelina and Camelia-M. Pintea
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Cristina Ticala: Technical University of Cluj-Napoca, North University Center of Baia Mare, 400114 Cluj-Napoca, Romania
Ioana Zelina: Technical University of Cluj-Napoca, North University Center of Baia Mare, 400114 Cluj-Napoca, Romania
Camelia-M. Pintea: Technical University of Cluj-Napoca, North University Center of Baia Mare, 400114 Cluj-Napoca, Romania

Mathematics, 2020, vol. 8, issue 6, 1-13

Abstract: 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.

Keywords: fixed point; Krasnoselskij iteration; admissible perturbation; Ant Colony Optimization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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