一种平面正则C-Bézier曲线的广义偏距曲线构造方法  

A generalized Offset Curve Construction Method for Planar Regular C-Bézier Curve

作　　者：谭振 李军成 TAN Zhen;LI Jun-cheng(Hunan Rural Credit Union Association,Changsha 410079,China;College of Mathematics and finance,Hunan University of Humanities,Science and Technology,Loudi 417000,China)

机构地区：[1]湖南省农村信用社联合社,湖南长沙410079 [2]湖南人文科技学院数学与金融学院,湖南娄底417000

出　　处：《软件》2018年第11期7-10,共4页Software

基　　金：湖南省自然科学基金资助项目(2017JJ3124)

摘　　要：给出了一种平面正则C-Bézier曲线的广义偏距曲线构造方法。该法首先依据C-Bézier曲线的de Casteljau算法求出C-Bézier曲线各点处的单位切矢,然后即可自然生成其广义偏距曲线。数值实例表明,该法计算简单,且效果较好。A method for constructing the general offset curve of planer regular is presented.The unit derivatives of C-Bézier curve are computed by the de Casteljau arithmetic,then the general offset curve could be constructed naturally,which enriches the theories of C-Bézier curve.Some numerical examples show that the arithmetic is simple and effective.

关 键 词：等距曲线 广义偏距曲线 C-BÉZIER曲线 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]