دورية أكاديمية
Generation of fractal curves using new binary 8-point interpolatory subdivision scheme
| العنوان: | Generation of fractal curves using new binary 8-point interpolatory subdivision scheme |
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| المؤلفون: | Abdul Ghaffar, Sadia Javed, Ghulam Mustafa, Ali Akgül, Murad Khan Hassani |
| المصدر: | Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024) |
| بيانات النشر: | Taylor & Francis Group, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Mathematics LCC:Engineering (General). Civil engineering (General) |
| مصطلحات موضوعية: | Interpolatory subdivision scheme, binary 8-point scheme, continuity, generation of fractal curves, fractal properties, 43-08, Mathematics, QA1-939, Engineering (General). Civil engineering (General), TA1-2040 |
| الوصف: | The subdivision scheme is a valuable tool for designing shapes and representing geometry in computer-aided geometric design. It has excellent geometric properties, such as fractals and adjustable shape. In this research paper, we explore the generation of fractal curves using a novel binary 8-point interpolatory subdivision scheme with two parameters. We analyse different properties of the proposed scheme, including convergence, special cases, and fractals. Additionally, we demonstrate through various examples the relationship between the shape parameters and the fractal behaviour of the resulting curve. Our research also identifies a specific range of shape parameters that can effectively produce fractal curves. The findings of this study provide a fast and efficient method for generating fractals, as demonstrated by numerous examples. Modelling examples show that the 8-point interpolatory scheme can enhance the efficiency of computer design for complex models. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 27690911 2769-0911 |
| Relation: | https://doaj.org/toc/2769-0911 |
| DOI: | 10.1080/27690911.2024.2367718 |
| URL الوصول: | https://doaj.org/article/e9cfd8e007c64c699a85f0100843b7fa |
| رقم الأكسشن: | edsdoj.9cfd8e007c64c699a85f0100843b7fa |
| قاعدة البيانات: | Directory of Open Access Journals |
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Full Text Finder | تدمد: | 27690911 |
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| DOI: | 10.1080/27690911.2024.2367718 |