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在拼接点达到GC~2连续的双二次曲线与样条的构造
引用本文:魏跃春,田增峰,肖氏武.在拼接点达到GC~2连续的双二次曲线与样条的构造[J].数学的实践与认识,2001,31(3).
作者姓名:魏跃春  田增峰  肖氏武
作者单位:襄樊学院数学系
基金项目:湖北省重点科研项目基金
摘    要:本文研究了连续的双二次曲线 ,给出双二次曲线样条的构造方法 .本方法适用在一些特定点上给定相对曲率并要求整个样条曲线 GC2连续的一类问题 ,采用双二次曲线样条得到的样条曲线具有较好保凸性能 .

关 键 词:GC2连续  双二次曲线  样条

A Construct Scheme of GC~2 Dual Quadric Curve Spline
WEI Yue-cun,\ TIAN Zeng-feng,\ XIAO Si-wu.A Construct Scheme of GC~2 Dual Quadric Curve Spline[J].Mathematics in Practice and Theory,2001,31(3).
Authors:WEI Yue-cun  \ TIAN Zeng-feng  \ XIAO Si-wu
Abstract:In this paper, GC 2 dual quadric curve were studied. A construct scheme of dual quadric spline with GC 2 was given. It improved biarc interpolation and dual quadric interpolation. The method could use to solve to the problem of the special point with given curvature and other point with C 1 . The spline curve of convexity preservig was very good, since it used dual quadric spline.
Keywords:Geometric continuity  dual quadric curve  spline
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