Rational quadratic Bézier curve fitting by simulated annealing technique
A metaheuristic algorithm, which is an approximation method called simulated annealing is implemented in order to have the best rational quadratic Bézier curve from a given data points. This technique is used to minimize sum squared errors in order to improve the middle control point position and th...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2013
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/20056/1/SKSM20_NM.pdf |
| _version_ | 1796992497376821248 |
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| author | Najihah, Mohamed Ahmad, Abd Majid Abd Rahni, Mt Piah |
| author_facet | Najihah, Mohamed Ahmad, Abd Majid Abd Rahni, Mt Piah |
| author_sort | Najihah, Mohamed |
| collection | UMP |
| description | A metaheuristic algorithm, which is an approximation method called simulated annealing is implemented in order to have the best rational quadratic Bézier curve from a given data points. This technique is used to minimize sum squared errors in order to improve the middle control point position and the value of weight. As a result, best fitted rational quadratic Bézier curve and its mathematical function that represents all the given data points is obtained. Numerical and graphical examples are also presented to demonstrate the effectiveness and robustness of the proposed method. |
| first_indexed | 2024-03-06T12:20:58Z |
| format | Conference or Workshop Item |
| id | UMPir20056 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:20:58Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | UMPir200562018-06-06T03:40:13Z http://umpir.ump.edu.my/id/eprint/20056/ Rational quadratic Bézier curve fitting by simulated annealing technique Najihah, Mohamed Ahmad, Abd Majid Abd Rahni, Mt Piah QA Mathematics A metaheuristic algorithm, which is an approximation method called simulated annealing is implemented in order to have the best rational quadratic Bézier curve from a given data points. This technique is used to minimize sum squared errors in order to improve the middle control point position and the value of weight. As a result, best fitted rational quadratic Bézier curve and its mathematical function that represents all the given data points is obtained. Numerical and graphical examples are also presented to demonstrate the effectiveness and robustness of the proposed method. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/20056/1/SKSM20_NM.pdf Najihah, Mohamed and Ahmad, Abd Majid and Abd Rahni, Mt Piah (2013) Rational quadratic Bézier curve fitting by simulated annealing technique. In: 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 , 18-20 December 2012 , Putrajaya; Malaysia. pp. 844-851., 1522. ISSN 0094243X ISBN 978-073541150-0 https://www.researchgate.net/profile/Najihah_Mohamed/publication/258740192_Rational_Quadratic_Bezier_Curve_Fitting_by_Simulated_Annealing_Technique/links/5948b57da6fdcc70635a3943/Rational-Quadratic-Bezier-Curve-Fitting-by-Simulated-Annealing-Technique.pdf |
| spellingShingle | QA Mathematics Najihah, Mohamed Ahmad, Abd Majid Abd Rahni, Mt Piah Rational quadratic Bézier curve fitting by simulated annealing technique |
| title | Rational quadratic Bézier curve fitting by simulated annealing technique |
| title_full | Rational quadratic Bézier curve fitting by simulated annealing technique |
| title_fullStr | Rational quadratic Bézier curve fitting by simulated annealing technique |
| title_full_unstemmed | Rational quadratic Bézier curve fitting by simulated annealing technique |
| title_short | Rational quadratic Bézier curve fitting by simulated annealing technique |
| title_sort | rational quadratic bezier curve fitting by simulated annealing technique |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/20056/1/SKSM20_NM.pdf |
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