A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad

In dealing with curves and surface of shapes, Computer-Aided Geometric Design (CAGD) is an application used widely in numerous fields such as medical, automotive, aerospace and shipbuilding. B-Spline and Bezier are methods, which play major roles in developing these curves in CAGD weather for two-di...

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Main Authors:	Nor Azizam, Nur Syafiqah, Arsad, Noor Adzleen
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Mathematical statistics Probabilities Data processing Mappings (Mathematics) Analytical methods used in the solution of physical problems Finite element method
Online Access:	https://ir.uitm.edu.my/id/eprint/41358/1/41358.pdf
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spelling	my-uitm-ir.413582021-02-05T03:28:33Z A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad 2019-07 Nor Azizam, Nur Syafiqah Arsad, Noor Adzleen Mathematical statistics. Probabilities Data processing Mappings (Mathematics) Analytical methods used in the solution of physical problems Finite element method In dealing with curves and surface of shapes, Computer-Aided Geometric Design (CAGD) is an application used widely in numerous fields such as medical, automotive, aerospace and shipbuilding. B-Spline and Bezier are methods, which play major roles in developing these curves in CAGD weather for two-dimensional shape or three-dimensional shape. Lately, few researches that come out with numerous methods of Bezier and B-Spline with multiple shapes parameter have been found. With multiple shape parameters, it gives a local control on the shape curve and flexibility in adjusting the behavior of the shapes compare to single shape parameters. Hence, in this research, λµ B-Spline curve, cubic trigonometric Bezier curve and quasi-quintic trigonometric Bezier curve with two shape parameters λ and p are present in designing two-dimensional shapes to show the differences between all the methods. Therefore, designers can see clearly the differences and have the best method in generating curves. . A comparison between these three methods are made from a few aspects such as shape parameters behavior, generation of curves and control points. The control polygon is kept unchanged while the modification of the shape parameters is made on different shape of curves time by time. The behavior of each shape are observe. The observation shows that λµ B-Spline of X=1 and p=l is the best method to apply in designing two-dimensional shapes as it give more advantages compared to the other two methods, cubic trigonometric Bezier and quasi-quintic trigonometric Bezier. From all the comparisons that have been made, a designing tool with altering shapes parameter function are generate. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/41358/ https://ir.uitm.edu.my/id/eprint/41358/1/41358.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Mohamad Sukri, Nursyazni
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohamad Sukri, Nursyazni
topic	Mathematical statistics Probabilities Data processing Mappings (Mathematics) Analytical methods used in the solution of physical problems Finite element method
spellingShingle	Mathematical statistics Probabilities Data processing Mappings (Mathematics) Analytical methods used in the solution of physical problems Finite element method Nor Azizam, Nur Syafiqah Arsad, Noor Adzleen A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad
description	In dealing with curves and surface of shapes, Computer-Aided Geometric Design (CAGD) is an application used widely in numerous fields such as medical, automotive, aerospace and shipbuilding. B-Spline and Bezier are methods, which play major roles in developing these curves in CAGD weather for two-dimensional shape or three-dimensional shape. Lately, few researches that come out with numerous methods of Bezier and B-Spline with multiple shapes parameter have been found. With multiple shape parameters, it gives a local control on the shape curve and flexibility in adjusting the behavior of the shapes compare to single shape parameters. Hence, in this research, λµ B-Spline curve, cubic trigonometric Bezier curve and quasi-quintic trigonometric Bezier curve with two shape parameters λ and p are present in designing two-dimensional shapes to show the differences between all the methods. Therefore, designers can see clearly the differences and have the best method in generating curves. . A comparison between these three methods are made from a few aspects such as shape parameters behavior, generation of curves and control points. The control polygon is kept unchanged while the modification of the shape parameters is made on different shape of curves time by time. The behavior of each shape are observe. The observation shows that λµ B-Spline of X=1 and p=l is the best method to apply in designing two-dimensional shapes as it give more advantages compared to the other two methods, cubic trigonometric Bezier and quasi-quintic trigonometric Bezier. From all the comparisons that have been made, a designing tool with altering shapes parameter function are generate.
format	Thesis
qualification_level	Bachelor degree
author	Nor Azizam, Nur Syafiqah Arsad, Noor Adzleen
author_facet	Nor Azizam, Nur Syafiqah Arsad, Noor Adzleen
author_sort	Nor Azizam, Nur Syafiqah
title	A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad
title_short	A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad
title_full	A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad
title_fullStr	A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad
title_full_unstemmed	A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad
title_sort	comparison between λµ b-spline, cubic trigonometric bezier and quasi-quintic trigonometric bezier / nur syafiqah nor azizam & noor adzleen arsad
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/41358/1/41358.pdf
_version_	1783734631211728896

A comparison between λµ B-Spline, cubic Trigonometric Bezier and quasi-quintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad

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