n次有理Bézier曲线与C-B样条曲线的连续性条件  

The Continuity Condition of C-B-spline Curves and Bézier Curves of Degree n

作　　者：王朝晖[1] 

机构地区：[1]大庆师范学院数学科学学院,黑龙江大庆163712

出　　处：《内蒙古民族大学学报（自然科学版）》2011年第2期147-149,共3页Journal of Inner Mongolia Minzu University：Natural Sciences

摘　　要：三次有理B e zier曲线不能随着工程造型的需要而随时改变其次数,因此本文根据n次有理B e zier曲线和C-B样条曲线的一些性质,给出了C-B样条曲线与n次有理B e zier曲线的三种拼接条件,即G^0、G^1、G^2连续,由于n次有理B e zier曲线能够随意的改变其次数,从而可以被应用于CAD/CAM中.Along with the needing of project model,the cubic B e zier curves should arbitrary change its order. Based on the properties of C-B-spline curves and B e zier curves of degree n,this article has given three kinds of splicing conditions of C-B-spline curves and B e zier curves of degree n,namely G^0continuity,G^1continuity, G^2 continuity.Because B e zier curves of degree can change its order at will,so it may be applicated in CAD/CAM.

关 键 词：BÉZIER曲线 C-B样条曲线 G^0连续 G^1连续 G^2连续 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]