Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab

Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab

Curve plays a significance role in Computer Aided Geometric Design (CAGD) because it is easy to model any figure. Bezier curve, Timmer curve and B-Spline curve are method that can be used to design any objects or images. In this research, three methods are proposed to reconstruct the craniofacial fr...

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Main Author: Rajab, Ellyani Sofea
Format: Thesis
Language:English
Published: 2023
Subjects:
Analytical methods used in the solution of physical problems
Online Access:https://ir.uitm.edu.my/id/eprint/96606/1/96606.pdf
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spelling my-uitm-ir.966062024-06-09T04:18:15Z Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab 2023 Rajab, Ellyani Sofea Analytical methods used in the solution of physical problems Curve plays a significance role in Computer Aided Geometric Design (CAGD) because it is easy to model any figure. Bezier curve, Timmer curve and B-Spline curve are method that can be used to design any objects or images. In this research, three methods are proposed to reconstruct the craniofacial fracture. The methods are called Rational Cubic Bezier, Rational Cubic Timmer and Cubic B-Spline. Rational Cubic Bezier, and Rational Cubic Timmer are easier in designing since it contain an additional parameter which is weight that used to manipulate the images. Timmer curve also is an advanced method to Bezier curve. The purpose of this study is to apply the cubic B-spline, rational cubic Bezier, and rational cubic Timmer methods while comparing the smoothness and CPU time of the three curves proposed, and finally identify the optimum way in craniofacial fracture reconstruction. The research is carried out to confirm the importance of the precision and smoothness of the curves in resolving the stated problem. The comparative analysis of three methods reveals that the best approach is selected by taking two factors into consideration: the smoothness of the curve and the shortest time consumed for developing the curve, and the most efficient method is chosen by the end of this research project. Result shows for the smoothness of the curve goes to rational cubic Bezier, w = 4 because it give a symmetrical shape of overall parietal bone and close to control polygon and make it more suitable to fit the area of fracture while for the shortest time consumption goes to cubic B-Spline as it had the shortest CPU time among the three methods to generate the curves. 2023 Thesis https://ir.uitm.edu.my/id/eprint/96606/ https://ir.uitm.edu.my/id/eprint/96606/1/96606.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 Analytical methods used in the solution of physical problems
spellingShingle Analytical methods used in the solution of physical problems
Rajab, Ellyani Sofea
Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab
description Curve plays a significance role in Computer Aided Geometric Design (CAGD) because it is easy to model any figure. Bezier curve, Timmer curve and B-Spline curve are method that can be used to design any objects or images. In this research, three methods are proposed to reconstruct the craniofacial fracture. The methods are called Rational Cubic Bezier, Rational Cubic Timmer and Cubic B-Spline. Rational Cubic Bezier, and Rational Cubic Timmer are easier in designing since it contain an additional parameter which is weight that used to manipulate the images. Timmer curve also is an advanced method to Bezier curve. The purpose of this study is to apply the cubic B-spline, rational cubic Bezier, and rational cubic Timmer methods while comparing the smoothness and CPU time of the three curves proposed, and finally identify the optimum way in craniofacial fracture reconstruction. The research is carried out to confirm the importance of the precision and smoothness of the curves in resolving the stated problem. The comparative analysis of three methods reveals that the best approach is selected by taking two factors into consideration: the smoothness of the curve and the shortest time consumed for developing the curve, and the most efficient method is chosen by the end of this research project. Result shows for the smoothness of the curve goes to rational cubic Bezier, w = 4 because it give a symmetrical shape of overall parietal bone and close to control polygon and make it more suitable to fit the area of fracture while for the shortest time consumption goes to cubic B-Spline as it had the shortest CPU time among the three methods to generate the curves.
format Thesis
qualification_level Bachelor degree
author Rajab, Ellyani Sofea
author_facet Rajab, Ellyani Sofea
author_sort Rajab, Ellyani Sofea
title Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab
title_short Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab
title_full Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab
title_fullStr Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab
title_full_unstemmed Computer Aided Geometric Design (CAGD): a comparative study of cubic B-Spline, rational cubic Bezier and rational cubic Timmer curves with an application of craniofacial fractures reconstruction / Ellyani Sofea Rajab
title_sort computer aided geometric design (cagd): a comparative study of cubic b-spline, rational cubic bezier and rational cubic timmer curves with an application of craniofacial fractures reconstruction / ellyani sofea rajab
granting_institution Universiti Teknologi MARA, Terengganu
granting_department College of Computing, Informatics and Mathematics
publishDate 2023
url https://ir.uitm.edu.my/id/eprint/96606/1/96606.pdf
_version_ 1804889999773007872

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