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Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data

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Bibliographic Details
Main Authors: Afida, Ahmad, Md Yushalify, Misro
Other Authors: afidaahmad@uitm.edu.my
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2023
Subjects:
Ball
Bézier
Curvature
Positivity
Trigonometric
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77713
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spelling my.unimap-777132023-01-24T13:13:23Z Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data Afida, Ahmad Md Yushalify, Misro Afida, Ahmad afidaahmad@uitm.edu.my Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM) Kedah Branch School of Mathematical Sciences, Universiti Sains Malaysia (USM) Ball Bézier Curvature Positivity Trigonometric Link to publisher's homepage at https://amci.unimap.edu.my/ The curvature of a curve is important in designing roads, construction of smooth surfaces, or grinding workpieces. Curvature is the tool to measure the smoothness of curves and surfaces. Therefore, in this paper, the curvature profile of three functions will be compared where these three functions also preserved the positivity of the data. These three functions are a rational cubic Bézier curve, a rational cubic Ball curve, and a cubic trigonometric Bézier curve. Conditions were imposed to preserve the positivity of the data and the results are presented. Then, the curvature profile of the curves are compared and analysed. It was found that the interpolated curve by cubic Bézier curve is the best among those three types of curves based on the lowest amplitude value of curvature. However, for all three curves, the curvatures are not continuous since the interpolated curves represent C1 continuity only. 2023-01-24T13:13:23Z 2023-01-24T13:13:23Z 2022-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.11(1), 2022, pages 12-20 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77713 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Ball
Bézier
Curvature
Positivity
Trigonometric
spellingShingle Ball
Bézier
Curvature
Positivity
Trigonometric
Afida, Ahmad
Md Yushalify, Misro
Afida, Ahmad
Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 afidaahmad@uitm.edu.my
author_facet afidaahmad@uitm.edu.my
Afida, Ahmad
Md Yushalify, Misro
Afida, Ahmad
format Article
author Afida, Ahmad
Md Yushalify, Misro
Afida, Ahmad
author_sort Afida, Ahmad
title Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data
title_short Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data
title_full Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data
title_fullStr Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data
title_full_unstemmed Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data
title_sort curvature comparison of bézier curve, ball curve and trigonometric curve in preserving the positivity of real data
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2023
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77713
_version_ 1772813100026691584
score 13.222552

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