UMP Institutional Repository

Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods

Najihah, Mohamed and Ahmad Lutfi, Amri Ramli and Ahmad, Abd Majid and Abd Rahni, Mt Piah (2019) Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods. In: AIP Conference Proceedings, Proceedings of the International Conference on Mathematical Sciences and Technology (MATHTECH2018), 10-12 December 2018 , Penang, Malaysia. pp. 1-10., 2184 (060037). ISBN 978-073541931-5

[img]
Preview
Pdf
Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods.pdf

Download (78kB) | Preview

Abstract

Rational cubic Bézier curves are used to approximate the data sets while minimizing the least-squares error function using different metaheuristics algorithms. Those metaheuristics algorithms are Harmony Search, Genetic Algorithm, Particle Swarm Optimization and Modified Harmony Search. This scheme is implemented with continuity of C1 and G1. The comparative and analysis behaviour between the two conditions for the curve fitting on four outline of the test images boundary will be discussed. Based on the analysis, Modified Harmony Search algorithms is more stable, accurate and precise compared to other algorithms, and G1 continuity condition leads to a better curve fit compared to C1.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Rational cubic Bézier; Metaheuristics algorithms; Curve fitting
Subjects: Q Science > QA Mathematics
Faculty/Division: Center for Mathematical Science
Depositing User: Dr Najihah Mohamed
Date Deposited: 17 Aug 2020 04:29
Last Modified: 18 Jan 2021 04:09
URI: http://umpir.ump.edu.my/id/eprint/27856
Download Statistic: View Download Statistics

Actions (login required)

View Item View Item