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Caputo fractional-time of a modified Cahn-Hilliard equation for the inpainting of binary images | ||
| Journal of Mathematical Modeling | ||
| مقاله 9، دوره 11، شماره 2، مهر 2023، صفحه 357-373 اصل مقاله (3.17 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.22019.1938 | ||
| نویسندگان | ||
| Anouar Ben-loghfyry* 1؛ Abdelilah Hakim2 | ||
| 1Department of mathematics, Faculty of Sciences and Technologies Mohammedia, University Hassan II, Casablanca, Morocco. | ||
| 2LAMAI laboratory, university of Cadi Ayyad, Faculty of sciences and technology, Marrakesh, Morocco | ||
| چکیده | ||
| In this work, we present a new version of the Cahn-Hilliard equation to deal with binary image inpainting. The proposed model is unique due to its memory effect ability implemented by the time fractional derivative. Also, this model has a new diffusion term that gives a topological reconnection and a well sharpness of edges and corners. We give an existence result with some numerical tests implemented by the convexity splitting to show the efficiency of the proposed model. | ||
| کلیدواژه‌ها | ||
| Image inpainting؛ Cahn-Hilliard equation؛ time-fractional؛ Caputo derivative؛ finite difference؛ convexity splitting | ||
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آمار تعداد مشاهده مقاله: 285 تعداد دریافت فایل اصل مقاله: 472 |
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