Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi

With the advancement of technology, the mathematical method of Computer Aided Geometric Design (CAGD) application is becoming increasingly popular for obtaining curves and surfaces. CAGD is an applied mathematics subdivision concerned with algorithms for designing smooth curves and surfaces, togethe...

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Main Author:	Mohd Fauzi, Athirah Hanani
Format:	Thesis
Language:	English
Published:	2023
Subjects:	Geometry Shapes General works, treatises, and textbooks
Online Access:	https://ir.uitm.edu.my/id/eprint/96601/1/96601.pdf
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id	my-uitm-ir.96601
record_format	uketd_dc
spelling	my-uitm-ir.966012024-06-09T04:18:14Z Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi 2023 Mohd Fauzi, Athirah Hanani Geometry. Shapes. General works, treatises, and textbooks With the advancement of technology, the mathematical method of Computer Aided Geometric Design (CAGD) application is becoming increasingly popular for obtaining curves and surfaces. CAGD is an applied mathematics subdivision concerned with algorithms for designing smooth curves and surfaces, together with efficient mathematical representation. It is widely used in architecture, engineering, and modelling by using mathematical theory. This research presents the application to Khat Thuluth on Arabic calligraphy. To be certain, calligraphy is difficult to create and requires extensive training and expertise. In this research, the researcher applies three trigonometric Bezier curves: Quasi-Cubic, Quasi-Quartic, and Quasi-Quintic trigonometric Bezier curves. Based on the changes in the shape of the value parameters, the elements that influence the curve modification results have been investigated. By comparing the flexibility, smoothness, and CPU time required to create the whole Arabic calligraphy, three interpolations of Quasi-Cubic, Quasi-Quartic, and Quasi- Quintic trigonometric Bezier curves are examined. Quasi-Cubic trigonometric Bezier curves with and = -5 are preferred by the results because they are closest to the real figure in terms of how smoothly the designs flow. However, the best CPU time is given to Quasi-Quartic trigonometric Bezier curves, where = -1, as it has the shortest overall CPU time of 5.483 seconds. For overall analysis, the best method for reconstructing the outline art of Arabic calligraphy is Quasi-Cubic Trigonometric Bezier curve. 2023 Thesis https://ir.uitm.edu.my/id/eprint/96601/ https://ir.uitm.edu.my/id/eprint/96601/1/96601.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Razali, Noor Khairiah
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Razali, Noor Khairiah
topic	Geometry Shapes General works, treatises, and textbooks
spellingShingle	Geometry Shapes General works, treatises, and textbooks Mohd Fauzi, Athirah Hanani Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi
description	With the advancement of technology, the mathematical method of Computer Aided Geometric Design (CAGD) application is becoming increasingly popular for obtaining curves and surfaces. CAGD is an applied mathematics subdivision concerned with algorithms for designing smooth curves and surfaces, together with efficient mathematical representation. It is widely used in architecture, engineering, and modelling by using mathematical theory. This research presents the application to Khat Thuluth on Arabic calligraphy. To be certain, calligraphy is difficult to create and requires extensive training and expertise. In this research, the researcher applies three trigonometric Bezier curves: Quasi-Cubic, Quasi-Quartic, and Quasi-Quintic trigonometric Bezier curves. Based on the changes in the shape of the value parameters, the elements that influence the curve modification results have been investigated. By comparing the flexibility, smoothness, and CPU time required to create the whole Arabic calligraphy, three interpolations of Quasi-Cubic, Quasi-Quartic, and Quasi- Quintic trigonometric Bezier curves are examined. Quasi-Cubic trigonometric Bezier curves with and = -5 are preferred by the results because they are closest to the real figure in terms of how smoothly the designs flow. However, the best CPU time is given to Quasi-Quartic trigonometric Bezier curves, where = -1, as it has the shortest overall CPU time of 5.483 seconds. For overall analysis, the best method for reconstructing the outline art of Arabic calligraphy is Quasi-Cubic Trigonometric Bezier curve.
format	Thesis
qualification_level	Bachelor degree
author	Mohd Fauzi, Athirah Hanani
author_facet	Mohd Fauzi, Athirah Hanani
author_sort	Mohd Fauzi, Athirah Hanani
title	Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi
title_short	Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi
title_full	Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi
title_fullStr	Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi
title_full_unstemmed	Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi
title_sort	interpolation of quasi-cubic, quasi-quartic and quasi-quintic trigonometric bezier curves with application on reconstructing the outlines art of arabic calligraphy / athirah hanani mohd fauzi
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/96601/1/96601.pdf
_version_	1804889999526592512

Interpolation of Quasi-Cubic, Quasi-Quartic and Quasi-Quintic trigonometric Bezier curves with application on reconstructing the outlines art of Arabic calligraphy / Athirah Hanani Mohd Fauzi

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