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带有给定切线多边形的保形有理三次B样条曲线
引用本文:方逵 谭建荣. 带有给定切线多边形的保形有理三次B样条曲线[J]. 工程图学学报, 1996, 0(2): 99-105
作者姓名:方逵 谭建荣
作者单位:国防科技大学,浙江大学CAD&CG国家重点实验室
摘    要:本文给出了带有给定切线多边形的保形有理三次B样条曲线,其部分权因子可通过选取切点的位置来确定,由此方法还导出了保形有理三次B样条插值曲线,最后,给出了两个例子。

关 键 词:切线多边形 B样条曲线 插值曲线 曲线

SHAPE PRESERVING RATIONAL CUBIC B-SPLINE CURVES WITH GIVEN TANGENT POLYGONS
Fang Kui, Zhao Jun. SHAPE PRESERVING RATIONAL CUBIC B-SPLINE CURVES WITH GIVEN TANGENT POLYGONS[J]. Journal of Engineering Graphics, 1996, 0(2): 99-105
Authors:Fang Kui   Zhao Jun
Abstract:A closed shape preserving rational cubic B-spline curve with given tangent polygon is presented and part of its weight factors can be given by choosing the positions of the contact points. A shape preserving rational cubic B-spline interpolation curve is derived. Two examples are given.
Keywords:tangent polygon  rational cubic B-spline curve  interpolation curve
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