ENHANCEMENT OF MEDICAL MRI IMAGES BASED ON THE ATANAGAN-BALEANU FRACTAL OPERATOR

2024;
: 65-79
Received: August 12, 2024
Revised: September 28, 2024
Accepted: November 01, 2024
1
Ukrainian National Forestry University
2
Lviv Polytechnic National University, Lviv, Ukraine

This article describes the use of the Atangana-Baleanu fractal operator for the task of enhancing textures in medical MRI images. It provides a detailed explanation of the mathematical framework of the Atangana-Baleanu fractal differential. A numerical approach for calculating the fractal differential using the finite difference method is considered. Based on the approximated solution, approximation coefficients are determined. These coefficients are used to create eight differently oriented masks, which serve as filters for spatial image processing in various directions. A corresponding algorithm for applying fractal masks is developed and described. The obtained results of the algorithm's performance on medical image processing are compared. The impact of the image enhancement algorithm on image parameters is also investigated. Furthermore, a comparison with other texture enhancement algorithms is conducted.

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