| 广义Bézier曲线的形状修改 |
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| 引用本文： | 张文明,张浩,王祝园.广义Bézier曲线的形状修改[J].大学数学,2009,25(4). |
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| 作者姓名： | 张文明 张浩 王祝园 |
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| 作者单位： | 1. 北京现代管理大学,北京,102433
2. 合肥财经职业学院,合肥,230601 |
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| 摘 要： | 根据广义Bézier曲线的性质,提出了通过调整参数α,β和端点的目标导矢D0,Dn及端点目标二阶导矢E0,En的方法,使曲线插值目标点和在端点具有已给切矢或二阶导矢.这种方法对于曲线的交互设计以及过渡曲线的设计具有重要的意义.
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| 关 键 词： | 广义Bézier曲线 参数 目标矢 形状调整 |
Shape Modification of Generalized B(e)zier Curves |
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| ZHANG Wen-ming,ZHANG Hao,WANG Zhu-yuan.Shape Modification of Generalized B(e)zier Curves[J].College Mathematics,2009,25(4). |
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| Authors: | ZHANG Wen-ming ZHANG Hao WANG Zhu-yuan |
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| Abstract: | Based on the properties of the Generalized Bézier Curves,new curves with given derivative vectors at endpoints and passing through the given points can achieve by the adjustment of the parameters α,β and object derivative vectors at endpoints.This method plays an important role in the transition curve design and the interactive design of curve. |
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| Keywords: | generalized Bézier curve parameters given derivative vectors shape modification |
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