| 一类三次参数曲线 |
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| 引用本文： | 赵学军.一类三次参数曲线[J].重庆大学学报(自然科学版),1990,13(5):106-111. |
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| 作者姓名： | 赵学军 |
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| 作者单位： | 重庆大学应用数学系 |
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| 摘 要： | 给出了一类三次曲线,它以Hermite曲线、Ball曲线、Bezier曲线以及Timmer曲线为特例。这种参线曲线在一定条件下具有凸性、保凸性、与特征多边形第二边相切等性质。它克服了Bezier曲线在特征多边形给定之后就不能改变的缺点,可以根据实际需要调整曲线的形状。
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| 关 键 词： | 三次参数曲线 Bezier曲线 凸性 |
CLASS OF CUBIC PARAMETER CURVES |
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| Zhao Xuejun.CLASS OF CUBIC PARAMETER CURVES[J].Journal of Chongqing University(Natural Science Edition),1990,13(5):106-111. |
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| Authors: | Zhao Xuejun |
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| Institution: | Zhao Xuejun |
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| Abstract: | A class of cubic parameter curves are given. Hermite curve, Ball curve, Bezier curve and Timmer curve are its particular cases. Under certain conditions, this cubic parameter curves have the following properties: Convexity, retaining convex form, contact with the second edge of characteristic polygon and so on. This curve is different from Bezier curve, because its, shape can be changed after its characteristic polygon is given, so its shape can be changed according to our actual requirements. |
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| Keywords: | cubic parameter curve Bezier curve convexity/retaining convex from |
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