Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin

Choosing the right spline algorithm significantly influences the quality and efficiency of the design process in CAGD. Designers and engineers often face difficulties in selecting between different spline techniques due to their specific benefits and drawbacks. This research aims to bridge this gap...

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主要作者:	Awaluddin, Ainna Solihah
格式:	Thesis
语言:	English
出版:	2024
主题:	Analytical methods used in the solution of physical problems
在线阅读:	https://ir.uitm.edu.my/id/eprint/105923/1/105923.pdf
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id	my-uitm-ir.105923
record_format	uketd_dc
spelling	my-uitm-ir.1059232024-11-30T23:08:53Z Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin 2024 Awaluddin, Ainna Solihah Analytical methods used in the solution of physical problems Choosing the right spline algorithm significantly influences the quality and efficiency of the design process in CAGD. Designers and engineers often face difficulties in selecting between different spline techniques due to their specific benefits and drawbacks. This research aims to bridge this gap by evaluating the performance of Quadratic Trigonometric B-Spline (QTBS) and Cubic B-Spline (CBS) in resolving specific design issues using Wolfram Mathematica software. The study begins by exploring the methods employed by QTBS and CBS for two-dimensional curve, assessing their ability to generate desired shapes with supreme smoothness. The research extends into three-dimensional surface design, analysing the capabilities of QTBS and CBS in crafting three-dimensional surfaces of an object using Sweep surface method with controlled curvature and flawless continuity. The paper demonstrates the advantages and disadvantages of each approach for handling design difficulties by a thorough analysis of the mathematical models and real-world applications. By designing curves of an object using Wolfram Mathematica, the study integrates an interactive application for both methods to demonstrates the curve behaviour by modifying the shape parameters and control points of the objects. The integration of QTBS and CBS in CAGD enhances the designer’s ability to create sophisticated and accurate geometric models. The final phase of the study focuses on determining the most effective B-spline method for enhancing smoothness in both two-dimensional and three-dimensional spaces which is QTBS method. 2024 Thesis https://ir.uitm.edu.my/id/eprint/105923/ https://ir.uitm.edu.my/id/eprint/105923/1/105923.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Mohamad Sukri, Nursyazni
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohamad Sukri, Nursyazni
topic	Analytical methods used in the solution of physical problems
spellingShingle	Analytical methods used in the solution of physical problems Awaluddin, Ainna Solihah Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin
description	Choosing the right spline algorithm significantly influences the quality and efficiency of the design process in CAGD. Designers and engineers often face difficulties in selecting between different spline techniques due to their specific benefits and drawbacks. This research aims to bridge this gap by evaluating the performance of Quadratic Trigonometric B-Spline (QTBS) and Cubic B-Spline (CBS) in resolving specific design issues using Wolfram Mathematica software. The study begins by exploring the methods employed by QTBS and CBS for two-dimensional curve, assessing their ability to generate desired shapes with supreme smoothness. The research extends into three-dimensional surface design, analysing the capabilities of QTBS and CBS in crafting three-dimensional surfaces of an object using Sweep surface method with controlled curvature and flawless continuity. The paper demonstrates the advantages and disadvantages of each approach for handling design difficulties by a thorough analysis of the mathematical models and real-world applications. By designing curves of an object using Wolfram Mathematica, the study integrates an interactive application for both methods to demonstrates the curve behaviour by modifying the shape parameters and control points of the objects. The integration of QTBS and CBS in CAGD enhances the designer’s ability to create sophisticated and accurate geometric models. The final phase of the study focuses on determining the most effective B-spline method for enhancing smoothness in both two-dimensional and three-dimensional spaces which is QTBS method.
format	Thesis
qualification_level	Bachelor degree
author	Awaluddin, Ainna Solihah
author_facet	Awaluddin, Ainna Solihah
author_sort	Awaluddin, Ainna Solihah
title	Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin
title_short	Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin
title_full	Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin
title_fullStr	Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin
title_full_unstemmed	Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin
title_sort	comparison of quadratic trigonometric b-spline and cubic b-spline in designing objects / ainna solihah awaluddin
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2024
url	https://ir.uitm.edu.my/id/eprint/105923/1/105923.pdf
_version_	1818588161639448576

Comparison of quadratic Trigonometric B-Spline and Cubic B-Spline in designing objects / Ainna Solihah Awaluddin

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