三次Bézier曲线与二次均匀B样条曲线的光滑拼接  

Smooth connection between cubic Bézier curves and quadratic B-spline curves

作　　者：张贵仓[1] 杨林英[1] 胡志涛[1] 何振学[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2012年第5期28-31,共4页Journal of Northwest Normal University(Natural Science)

基　　金：甘肃省自然科学基金资助项目(0803RJZA109);甘肃省科技攻关项目(2GS035-A052-011)

摘　　要：利用B样条曲线的Bézier构造方法,把三次Bézier曲线与二次均匀B样条曲线之间的拼接问题转化为三次Bézier曲线与二次Bézier曲线之间的拼接问题.探讨了三次Bézier曲线与二次均匀B样条曲线的G0,G1,G2光滑拼接条件.Using Bezier constructive method of B-spline curves, the connection problem between cubic Bezier curves and quadratic B-spline curves is changed into the connection problem between cubic Bezier curves and quadratic Bezier curves. The Go, G1 and G2 continuity conditions between the cubic Bezier curves and quadratic B spline curves are discussed in the paper.

关 键 词：BÉZIER曲线 B样条曲线 Bézier构造方法 光滑拼接 G2光滑拼接 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]