Dual bases for Wang–Bézier basis and their applications

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摘要

This paper presents the dual bases for Wang–Bézier curves with a position parameter L, which include Bézier curve, Wang–Ball curve and some intermediate curves. The Marsden identity and the transformation formulas from Bézier curve to Wang–Bézier curve are also given. These results are useful for the application of Wang–Bézier curve and their popularization in Computer Aided Geometric Design.

论文关键词：Wang–Bézier basis,Dual basis,Marsden identity,Bézier curve,Position parameter

论文评审过程：Available online 5 April 2009.

论文官网地址：https://doi.org/10.1016/j.amc.2009.03.079