Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi
As technology continues to advance, Computer Aided Geometric Design (CAGD) is gaining popularity as a mathematical method for generating curves and surfaces. CAGD, a branch of applied mathematics, focuses on developing algorithms for creating smooth curves...
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| Language: | en |
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UiTM Cawangan Perlis
2024
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| Online Access: | https://ir.uitm.edu.my/id/eprint/103132/1/103132.pdf https://ir.uitm.edu.my/id/eprint/103132/ https://jcrinn.com/index.php/jcrinn |
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| author | Razali, Noor Khairiah Mohd Fauzi, Athirah Hanani |
| author_facet | Razali, Noor Khairiah Mohd Fauzi, Athirah Hanani |
| author_sort | Razali, Noor Khairiah |
| building | Tun Abdul Razak Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Mara |
| content_source | UiTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | As technology continues to advance, Computer Aided Geometric Design (CAGD) is gaining popularity as a mathematical method for generating curves and surfaces. CAGD, a branch of applied mathematics, focuses on developing algorithms for creating smooth curves and surfaces efficiently. This paper explores the application of CAGD techniques to Khat Thuluth, a form of Arabic calligraphy known for its complexity and the skill required to create it. The study employs two methods of Trigonometric Bézier Curves, namely Quasi-Quartic and Quasi-Quintic, to reconstruct Arabic calligraphy. By examining how variations in shape parameters affect curve modifications, the research investigates the factors influencing the outcome. Comparison between the resulting figures and the original images, as well as the computational performance in terms of CPU time required for the entire calligraphy creation process, is conducted to evaluate the effectiveness of the two interpolation methods. The findings indicate that the Quasi-Quartic Trigonometric Bézier curve offers the most efficient reconstruction of Arabic calligraphy outlines, with a minimal CPU time of 8.453 seconds. |
| format | Article |
| id | my.uitm.ir-103132 |
| institution | Universiti Teknologi Mara |
| language | en |
| publishDate | 2024 |
| publisher | UiTM Cawangan Perlis |
| record_format | eprints |
| spelling | my.uitm.ir-1031322024-10-18T09:11:32Z https://ir.uitm.edu.my/id/eprint/103132/ Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi jcrinn Razali, Noor Khairiah Mohd Fauzi, Athirah Hanani Geometry. Trigonometry. Topology As technology continues to advance, Computer Aided Geometric Design (CAGD) is gaining popularity as a mathematical method for generating curves and surfaces. CAGD, a branch of applied mathematics, focuses on developing algorithms for creating smooth curves and surfaces efficiently. This paper explores the application of CAGD techniques to Khat Thuluth, a form of Arabic calligraphy known for its complexity and the skill required to create it. The study employs two methods of Trigonometric Bézier Curves, namely Quasi-Quartic and Quasi-Quintic, to reconstruct Arabic calligraphy. By examining how variations in shape parameters affect curve modifications, the research investigates the factors influencing the outcome. Comparison between the resulting figures and the original images, as well as the computational performance in terms of CPU time required for the entire calligraphy creation process, is conducted to evaluate the effectiveness of the two interpolation methods. The findings indicate that the Quasi-Quartic Trigonometric Bézier curve offers the most efficient reconstruction of Arabic calligraphy outlines, with a minimal CPU time of 8.453 seconds. UiTM Cawangan Perlis 2024-09 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/103132/1/103132.pdf Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi. (2024) Journal of Computing Research and Innovation (JCRINN) <https://ir.uitm.edu.my/view/publication/Journal_of_Computing_Research_and_Innovation_=28JCRINN=29/>, 9 (2): 10. pp. 121-129. ISSN 2600-8793 https://jcrinn.com/index.php/jcrinn |
| spellingShingle | Geometry. Trigonometry. Topology Razali, Noor Khairiah Mohd Fauzi, Athirah Hanani Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi |
| title | Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi |
| title_full | Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi |
| title_fullStr | Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi |
| title_full_unstemmed | Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi |
| title_short | Utilizing trigonometric Bézier curves for reconstructing Arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / Noor Khairiah Razali and Athirah Hanani Mohd Fauzi |
| title_sort | utilizing trigonometric bézier curves for reconstructing arabic calligraphy: interpolating quasi-quartic and quasi-quintic curves / noor khairiah razali and athirah hanani mohd fauzi |
| topic | Geometry. Trigonometry. Topology |
| url | https://ir.uitm.edu.my/id/eprint/103132/1/103132.pdf https://ir.uitm.edu.my/id/eprint/103132/ https://jcrinn.com/index.php/jcrinn |
| url_provider | http://ir.uitm.edu.my/ |