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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(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(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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