| 引用本文: | 方逵,钱正在.CAD/CAM 中的两种曲线保凸拟合.[J].国防科技大学学报,1988,10(3):93-99 ,115.[点击复制] |
| Fang Kui,Qian Zhengzai.The Method of Convex Persevering Fitting of Curves for CAD/CAM[J].Journal of National University of Defense Technology,1988,10(3):93-99 ,115[点击复制] |
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| CAD/CAM 中的两种曲线保凸拟合 |
| 方逵, 钱正在 |
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(系统工程与应用数学系)
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| 摘要: |
| 文中描述了一种保凸参数拟合方法。对于任意给定一个平面开(闭)的凸多边形、可用二次(三次)Bezier曲线段构造了一条C1二次 (C2三次)的保凸插值样条曲线，并且简略讨论了该方法在CAD/CAM 中的应用，如凸轮轮廓曲线的拟合，外形的几何设计等。我们在IBM-PC机上编制了通用的交互式作图软件，只要输入相应的坐标和控制参数，即可快速绘制出C1二次(C2三次)的保凸插值样条曲线。 |
| 关键词: 参数曲线，扦值样条，保凸拟合 |
| DOI： |
| 投稿日期：1987-09-05 |
| 基金项目: |
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| The Method of Convex Persevering Fitting of Curves for CAD/CAM |
| Fang Kui, Qian Zhengzai |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| This paper given discribes a convex persevering fitting method. Given a sequence of points {pi}in=0 on a plane，a c'-quadratic (C2 -cubic) convex persevering parametric spline interpolation curve with Bezier curve seqment is constructed Also is discussed its applications on CAD/CAM，for example，figure fitting of convex wheel. |
| Keywords: Parametric curve,Interpolating spline,Convex persevering fitting |
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