| C3连续的保凸四次B样条插值曲线 |
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| 引用本文： | 王成伟,姚云.C3连续的保凸四次B样条插值曲线[J].北京服装学院学报,2002,22(1):66-70. |
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| 作者姓名： | 王成伟 姚云 |
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| 作者单位： | 北京服装学院基础课部,北京,100029 |
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| 摘 要： | 四次B样条曲线虽然具有保凸性,但曲线不通过任何给定的控制多边形的顶点.本文在多边形相邻的2个顶点之间插入4个控制点,由此所产生的四次B样条曲线不但插值给定的控制多边形的所有顶点,而且保凸.本文描述的曲线可以作局部修改.最后给出了1个数值例子.
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| 关 键 词： | 计算机辅助几何设计 B样条曲线 插值 |
| 文章编号： | 1001-0564-(2002)01-0066-05 |
| 修稿时间： | 2000年12月25日 |
A Convexity Preserving Quadratic B-spline Interpolation Curve |
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| Wang Chengwei Yao Yun.A Convexity Preserving Quadratic B-spline Interpolation Curve[J].Journal of Beijing Institute of Clothing Technology(Nature Science Edition),2002,22(1):66-70. |
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| Authors: | Wang Chengwei Yao Yun |
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| Affiliation: | Wang Chengwei Yao YunDepartment of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029 |
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| Abstract: | Although B-spline curve has convexity preserving property, the curve doesn't interpolate any vertices of the given control polygon. If we insert four control points between two consecutive vertices of polygon, the quartic B-spline curve generated by these control points interplates all vertices of the given control polygon, and the interpolation curve is convexity preserving. The local modificatons of the curve are possible. At last, one numerical example is given. |
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| Keywords: | computer aided geometric design B-spline curve interpolation |
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