Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods
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...
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2019
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/27856/ http://umpir.ump.edu.my/id/eprint/27856/7/Curve%20fitting%20by%20rational%20cubic%20B%C3%A9zier%20with%20C1%20and%20G1%20continuity%20using%20metaheuristics%20methods.pdf |
| _version_ | 1848822903403970560 |
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| author | Najihah, Mohamed Ahmad Lutfi, Amri Ramli Ahmad, Abd Majid Abd Rahni, Mt Piah |
| author_facet | Najihah, Mohamed Ahmad Lutfi, Amri Ramli Ahmad, Abd Majid Abd Rahni, Mt Piah |
| author_sort | Najihah, Mohamed |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T02:48:38Z |
| format | Conference or Workshop Item |
| id | ump-27856 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:48:38Z |
| publishDate | 2019 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-278562021-01-18T04:09:13Z http://umpir.ump.edu.my/id/eprint/27856/ Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods Najihah, Mohamed Ahmad Lutfi, Amri Ramli Ahmad, Abd Majid Abd Rahni, Mt Piah QA Mathematics 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. AIP Publishing 2019-12-05 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/27856/7/Curve%20fitting%20by%20rational%20cubic%20B%C3%A9zier%20with%20C1%20and%20G1%20continuity%20using%20metaheuristics%20methods.pdf 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 (Published) https://doi.org/10.1063/1.5136469 |
| spellingShingle | QA Mathematics Najihah, Mohamed Ahmad Lutfi, Amri Ramli Ahmad, Abd Majid Abd Rahni, Mt Piah Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods |
| title | Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods |
| title_full | Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods |
| title_fullStr | Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods |
| title_full_unstemmed | Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods |
| title_short | Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods |
| title_sort | curve fitting by rational cubic bézier with c1 and g1 continuity using metaheuristics methods |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/27856/ http://umpir.ump.edu.my/id/eprint/27856/ http://umpir.ump.edu.my/id/eprint/27856/7/Curve%20fitting%20by%20rational%20cubic%20B%C3%A9zier%20with%20C1%20and%20G1%20continuity%20using%20metaheuristics%20methods.pdf |