| 摘要: |
| 定义了带3个形状参数α,β,γ的五次Wang Ball型曲线；实现了五次Wang Ball曲线到五次Said Ball曲线及五次Bézier曲线的过渡，并具有五次Ball曲线的几何性质；分析了形状参数α,β,γ的几何意义，可对曲线的形状进行灵活的调整，并通过实例证明方法的有效性。 |
| 关键词: Wang Bal曲线 Said Ball曲线 Bézier曲线 形状参数 曲线设计 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Extension of Quintic Wang Ball Curve of with Parameters |
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ZHANG Dan dan, WU Huan huan
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| Abstract: |
| A class of quintic Wang Ball curve with three shape parameters α,β,γ is defined in this paper. This class of curve not only realizes the transition from quintic Wang Ball curve to quintic Said Ball curve and quintic Bézier curve, but also inherits the geometrical properties of quintic Ball curve. The geometrical meaning of shape parameters α,β,γ is analyzed and the shape of the curve can be adjusted flexibly. Some examples demonstrate the effectiveness of this method. |
| Key words: Wang Ball curve Said Ball curve Bézier curve shape parameter curve design |
