Capturing outlines of generic shapes with cubic B´ezier curves using the Nelder–Mead simplex method

Document Type : Research Article

Authors

• A. Ebrahimi ¹
• G. B. Loghmani ¹
• M. Sarfraz ²

¹ Yazd University

² Kuwait University

10.22067/ijnao.v9i2.70045

Abstract

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.

Keywords

• Interpolation
• Splines
• Curve fitting
• Nelder-Mead Simplex Method
• Computer aided design
• Computer graphics

20.1001.1.24236977.2019.9.2.6.1

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