| 引用本文: | 方逵.保凸插值样条曲线的一种构造方法.[J].国防科技大学学报,1991,13(3):79-84.[点击复制] |
| Fang Kui.A Construction Method of Convexity Preserving Interpolation Spline Curves[J].Journal of National University of Defense Technology,1991,13(3):79-84[点击复制] |
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| 保凸插值样条曲线的一种构造方法 |
| 方逵 |
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(系统工程与应用数学系)
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| 摘要: |
| 本文提出了一种描述保凸三次参数插值曲线的新算法。算法构造局部、计算简单有效，算法对开曲线和闭曲线都适合，最后给出了几个曲线构造的例子。 |
| 关键词: 计算几何，微分几何，参数插值样条曲线，Bèzier 曲线，曲率 |
| DOI： |
| 投稿日期：1990-05-02 |
| 基金项目: |
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| A Construction Method of Convexity Preserving Interpolation Spline Curves |
| Fang Kui |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| A new a1gorithm of (C2-Continuous) convexity preserving cubic parametric interpo1ation curves is derived. the construction of the a1gorithm is 1oca1. The calcu1ation invo1ved is simp1e and efficient. The a1gorithm is a1so approriate for both closed curves and open curves. Finally a few examp1es of curve construction are given. |
| Keywords: computiona1 geometry,differentia1 geometry,parametric interpo1ation spline curves,Bézier curves,curvature |
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