| 引用本文: | 方逵,赵军.正则有理 Bé zier 曲线的等距曲线算法.[J].国防科技大学学报,1996,18(1):110-113.[点击复制] |
| Fang Kui,Zhao Jun.The Algorithm of Offset Curve of the Regular Rational Bé zier Curve[J].Journal of National University of Defense Technology,1996,18(1):110-113[点击复制] |
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| 正则有理 Bé zier 曲线的等距曲线算法 |
| 方逵, 赵军 |
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(国防科技大学 系统工程与应用数学系 湖南 长沙 410073)
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| 摘要: |
| 通过利用改进的有理德卡斯特里奥算法求得正则有理n次Bé zier 曲线各点处的切矢，由此得到各点的单位法矢量，应用于求原始曲线的等距曲线.从而巧妙地解决了原始正则有理n次 Bé zier 曲线上各点的单位法矢量难求的困难。该方法几何意义明显，算法简洁，实践效果比较好，最后本文给出了两个实例。 |
| 关键词: CAGD，NURBS，有理n 次 Bé zier 曲线，等距曲线，有理德卡斯特里奥算法 |
| DOI： |
| 投稿日期：1995-08-28 |
| 基金项目:CAD/CG 国家重点实验室基金资助 |
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| The Algorithm of Offset Curve of the Regular Rational Bé zier Curve |
| Fang Kui, Zhao Jun |
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(Department of Systems Engineering and Applied Mathematics NUDT，Changsha，410073)
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| Abstract: |
| In this paper，we obtain the tanget vector at each point of the regular rational Bé zier curve of degree n by using the improved rational de Casteljau algorithm. Then we can get the unit normal vector at each point of the original curve. So we have ingeniously overcome the difficulty that the unit normal vector is not easily to be solved at each point. This method has obvious geometric meaning. The algorithm is simple and the result is satisfactory in practice. |
| Keywords: CAGD,NURBS,rational Bé zier curve of degree n, offset curve,rational de Casteljau algorithm |
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