| 引用本文: | 王兴波.平面B—样条曲线的拐点定理.[J].国防科技大学学报,1995,17(4):136-142.[点击复制] |
| Wang Xingbo.A Theorem on Inflectant Point of a Planar B-spline curve[J].Journal of National University of Defense Technology,1995,17(4):136-142[点击复制] |
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| 平面B—样条曲线的拐点定理 |
| 王兴波 |
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(国防科技大学 机电工程与仪器系 湖南 长沙 410073)
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| 摘要: |
| 利用插入节点的算法，本文研究了B—样条曲线的形状，得到了B—样条曲线拐点的一个定理。该定理描述了当控制多边形只有一个拐向点时B—样条曲线的拐点、尖点和二重点的关系。此项研究对于工程应用中的 CAD 有较实际的指导作用。 |
| 关键词: B—样条曲线，剖分，控制多边形，边向量 |
| DOI： |
| 投稿日期：1995-02-14 |
| 基金项目:CAD/CG国家重点实验室基金资助 |
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| A Theorem on Inflectant Point of a Planar B-spline curve |
| Wang Xingbo |
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(Department of Mechantronics and Instrumention)
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| Abstract: |
| By means of inserting a knot into B-spline curve,We make a study on the shape of a B-spline curve，and obtain a theorem about the inflectant point of a planar B-spline curve. The theorem describes the relationship among the cusp，loop，and inflectant points on B-spline curves whose control polygon has only one inflecting point; the theorem has a practical guide to CAD. |
| Keywords: B-spline curve,dissection,control polygon,lateral vector |
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