Enhancement of medical MRI images based on the Atangan-Baleanu fractal operator
| dc.citation.epage | 78 | |
| dc.citation.issue | 3 | |
| dc.citation.journalTitle | Комп’ютерні системи проектування. Теорія і практика | |
| dc.citation.spage | 65 | |
| dc.contributor.affiliation | Національний лісотехнічний університет України | |
| dc.contributor.affiliation | Національний університет "Львівська політехніка" | |
| dc.contributor.affiliation | National Forestry University of Ukraine | |
| dc.contributor.affiliation | Lviv Polutechnic National University | |
| dc.contributor.author | Березюк, Володимир | |
| dc.contributor.author | Соколовський, Ярослав | |
| dc.contributor.author | Bereziuk, Volodymyr | |
| dc.contributor.author | Sokolovskyy, Yaroslav | |
| dc.coverage.placename | Львів | |
| dc.coverage.placename | Lviv | |
| dc.date.accessioned | 2025-12-16T08:41:09Z | |
| dc.description.abstract | У статті описано використання фрактального оператора Атангана – Балеану для завдання покращення текстур медичних МРТ зображень. Детально викладено математичний апарат фрактального диференціала Атангана – Балеану. Розглянуто числовий підхід до обчислення фрак- тального диференціала за допомогою методу скінченних різниць. На основі апроксимованого розв’я- зання визначено коефіцієнти апроксимації. Їх використано для створення восьми різнонаправлених масок, які застосовано як фільтри для просторового оброблення зображень у різних напрямках. Створено й описано відповідний алгоритм застосування фрактальних масок. Виконано порівняння результатів роботи алгоритму оброблення медичних зображень. Досліджено зміни параметрів зображень у результаті роботи алгоритму покращення зображень, а також здійснено порівняння роботи алгоритму з іншими алгоритмами для поліпшення текстур. | |
| dc.description.abstract | 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. | |
| dc.format.extent | 65-78 | |
| dc.format.pages | 14 | |
| dc.identifier.citation | Bereziuk V. Enhancement of medical MRI images based on the Atangan-Baleanu fractal operator / Volodymyr Bereziuk, Yaroslav Sokolovskyy // Computer Systems of Design. Theory and Practice. — Lviv : Lviv Politechnic Publishing House, 2024. — Vol 6. — No 3. — P. 65–78. | |
| dc.identifier.citation2015 | Bereziuk V., Sokolovskyy Y. Enhancement of medical MRI images based on the Atangan-Baleanu fractal operator // Computer Systems of Design. Theory and Practice, Lviv. 2024. Vol 6. No 3. P. 65–78. | |
| dc.identifier.citationenAPA | Bereziuk, V., & Sokolovskyy, Y. (2024). Enhancement of medical MRI images based on the Atangan-Baleanu fractal operator. Computer Systems of Design. Theory and Practice, 6(3), 65-78. Lviv Politechnic Publishing House.. | |
| dc.identifier.citationenCHICAGO | Bereziuk V., Sokolovskyy Y. (2024) Enhancement of medical MRI images based on the Atangan-Baleanu fractal operator. Computer Systems of Design. Theory and Practice (Lviv), vol. 6, no 3, pp. 65-78. | |
| dc.identifier.doi | https://doi.org/10.23939/cds2024.03.065 | |
| dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/124103 | |
| dc.language.iso | en | |
| dc.publisher | Видавництво Львівської політехніки | |
| dc.publisher | Lviv Politechnic Publishing House | |
| dc.relation.ispartof | Комп’ютерні системи проектування. Теорія і практика, 3 (6), 2024 | |
| dc.relation.ispartof | Computer Systems of Design. Theory and Practice, 3 (6), 2024 | |
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| dc.relation.referencesen | [3] Prewitt, J. M. S. ―Object Enhancement and Extraction‖. In Picture Processing and Psychopictorics, edited by B. S. Lipkin and A. Rosenfeld, 75–149. New York: Academic Press, 1970. | |
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| dc.relation.referencesen | [12] Greenspan, H., Anderson, C. H., and Akber, S. ―Image enhancement by nonlinear extrapolation in frequency space‖. IEEE Transactions on Image Processing, Vol. 9, No. 6, pp. 1035–1048, Jun. 2000. | |
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| dc.relation.referencesen | [15] Paris, S., Hasler, D., and Morel, J. M. ―A Fast Algorithm for the Computation of the Exact Euclidean Distance Transform‖. IEEE Transactions on Image Processing, Vol. 21, No. 1, pp. 22–30, Jan. 2012. | |
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| dc.relation.uri | https://www.kaggle.com/datasets/navoneel/brain-mri-images-for-brain-tumor-detection/data | |
| dc.relation.uri | https://doi.org/10.23939/cds2024.01.001 | |
| dc.rights.holder | © Національний університет „Львівська політехніка“, 2024 | |
| dc.rights.holder | © Bereziuk V., Sokolovskyy Ya., 2024 | |
| dc.subject | магнітно-резонансна томографія (МРТ) | |
| dc.subject | фрактальний оператор Атангана – Балеану | |
| dc.subject | покращення зображень | |
| dc.subject | Python | |
| dc.subject | Magnetic Resonance Imaging (MRI) | |
| dc.subject | Atangana-Baleanu Fractal Operator | |
| dc.subject | Image Enhancement | |
| dc.subject | Python | |
| dc.title | Enhancement of medical MRI images based on the Atangan-Baleanu fractal operator | |
| dc.title.alternative | Покращення медичних МРТ зображень на підставі фрактального оператора Атангана-Балеану | |
| dc.type | Article |