Comparison in approximating maximum speed on road between Cubic Bezier Curve And Cubic Trigonometric Bezier Curve with a shape parameter / Norsyafika Yunaidi & Nor Syalsabila Ghazali

This project describes an alternative way in estimating design speed or the maximum speed allowed for a vehicle to drive safely on a road using curvature information from Bezier curve and Cubic Trigonometric Bezier curve fitting on a map. The road in Tanah Rata Cameron Highland, Malaysia was chosen....

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Main Authors: Yunaidi, Norsyafika, Ghazali, Nor Syalsabila
Format: Thesis
Language:English
Published: 2019
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/39676/1/39676.pdf
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spelling my-uitm-ir.396762020-12-24T07:15:19Z Comparison in approximating maximum speed on road between Cubic Bezier Curve And Cubic Trigonometric Bezier Curve with a shape parameter / Norsyafika Yunaidi & Nor Syalsabila Ghazali 2019-07 Yunaidi, Norsyafika Ghazali, Nor Syalsabila Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Finite element method This project describes an alternative way in estimating design speed or the maximum speed allowed for a vehicle to drive safely on a road using curvature information from Bezier curve and Cubic Trigonometric Bezier curve fitting on a map. The road in Tanah Rata Cameron Highland, Malaysia was chosen. The values of the curvature were computed by analytical differentiation of the Bezier Curve and Cubic Trigonometric Bezier Curve continuity between joined curves in the process of mapping the road. When the value of curvature is high, the value of radius becomes smaller thus the vehicle needs to bend sharply. The result was verified with the manual calculation of the curvature from the map. The objective of this research is to conclude the curvature information and determine which the best method between Cubic Bezier curve and Cubic Trigonometric Bezier curves with the goal of approximating the maximum speed of road. The comparison between two methods show that both methods produced the best maximum speed for the real road. However, after doing the readjustment, Cubic Trigonometric Bezier is the best method and able to produce best speed of road. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/39676/ https://ir.uitm.edu.my/id/eprint/39676/1/39676.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Razali, Noor Khairiah
institution Universiti Teknologi MARA
collection UiTM Institutional Repository
language English
advisor Razali, Noor Khairiah
topic Mathematical statistics
Probabilities
Analytical methods used in the solution of physical problems
Finite element method
spellingShingle Mathematical statistics
Probabilities
Analytical methods used in the solution of physical problems
Finite element method
Yunaidi, Norsyafika
Ghazali, Nor Syalsabila
Comparison in approximating maximum speed on road between Cubic Bezier Curve And Cubic Trigonometric Bezier Curve with a shape parameter / Norsyafika Yunaidi & Nor Syalsabila Ghazali
description This project describes an alternative way in estimating design speed or the maximum speed allowed for a vehicle to drive safely on a road using curvature information from Bezier curve and Cubic Trigonometric Bezier curve fitting on a map. The road in Tanah Rata Cameron Highland, Malaysia was chosen. The values of the curvature were computed by analytical differentiation of the Bezier Curve and Cubic Trigonometric Bezier Curve continuity between joined curves in the process of mapping the road. When the value of curvature is high, the value of radius becomes smaller thus the vehicle needs to bend sharply. The result was verified with the manual calculation of the curvature from the map. The objective of this research is to conclude the curvature information and determine which the best method between Cubic Bezier curve and Cubic Trigonometric Bezier curves with the goal of approximating the maximum speed of road. The comparison between two methods show that both methods produced the best maximum speed for the real road. However, after doing the readjustment, Cubic Trigonometric Bezier is the best method and able to produce best speed of road.
format Thesis
qualification_level Bachelor degree
author Yunaidi, Norsyafika
Ghazali, Nor Syalsabila
author_facet Yunaidi, Norsyafika
Ghazali, Nor Syalsabila
author_sort Yunaidi, Norsyafika
title Comparison in approximating maximum speed on road between Cubic Bezier Curve And Cubic Trigonometric Bezier Curve with a shape parameter / Norsyafika Yunaidi & Nor Syalsabila Ghazali
title_short Comparison in approximating maximum speed on road between Cubic Bezier Curve And Cubic Trigonometric Bezier Curve with a shape parameter / Norsyafika Yunaidi & Nor Syalsabila Ghazali
title_full Comparison in approximating maximum speed on road between Cubic Bezier Curve And Cubic Trigonometric Bezier Curve with a shape parameter / Norsyafika Yunaidi & Nor Syalsabila Ghazali
title_fullStr Comparison in approximating maximum speed on road between Cubic Bezier Curve And Cubic Trigonometric Bezier Curve with a shape parameter / Norsyafika Yunaidi & Nor Syalsabila Ghazali
title_full_unstemmed Comparison in approximating maximum speed on road between Cubic Bezier Curve And Cubic Trigonometric Bezier Curve with a shape parameter / Norsyafika Yunaidi & Nor Syalsabila Ghazali
title_sort comparison in approximating maximum speed on road between cubic bezier curve and cubic trigonometric bezier curve with a shape parameter / norsyafika yunaidi & nor syalsabila ghazali
granting_institution Universiti Teknologi MARA
granting_department Faculty of Computer and Mathematical Sciences
publishDate 2019
url https://ir.uitm.edu.my/id/eprint/39676/1/39676.pdf
_version_ 1783734527807455232