Capturing outlines of generic shapes with cubic B´ezier curves using the Nelder–Mead simplex method
We design a fast technique for fitting cubic B´ezier curves to the boundary of 2D shapes. The technique is implemented by means of the Nelder–Mead simplex procedure to optimize the control points. The natural attributes of the B´ezier curve are utilized to discover the initial vertex points of the N...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ferdowsi University of Mashhad
2019-10-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_24919_9725b0cafdf1b7d8bf117c90704ee454.pdf |
| Summary: | We design a fast technique for fitting cubic B´ezier curves to the boundary of 2D shapes. The technique is implemented by means of the Nelder–Mead simplex procedure to optimize the control points. The natural attributes of the B´ezier curve are utilized to discover the initial vertex points of the Nelder–Mead procedure. The proposed technique is faster than traditional methods and helps to obtain a better fit with a desirable precision. The comparative analysis of our results describes that the introduced approach has a high compression ratio and a low fitting error. |
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| ISSN: | 2423-6977 2423-6969 |