基于有理二次Bezier曲线的G^2连续的插值曲线  

An Interpolating G^2 Continuous Closed Curve Based on Rational Quadric Bezier curves

作　　者：陈宝平[1] 尹志凌[2] 

机构地区：[1]内蒙古财经学院信息管理系,呼和浩特010050 [2]内蒙古师范大学计算机系,呼和浩特010022

出　　处：《内蒙古大学学报（自然科学版）》2004年第4期464-466,共3页Journal of Inner Mongolia University：Natural Science Edition

摘　　要：给出有理二次Bezier曲线G2连续的条件,通过对条件中权因子的调整,构造一条能过所有控制点G2连续的插值曲线.在此曲线的绘制中使用了一种快速逐点生成算法,该算法只用到加减法,较大的提高了效率.The G^2 continuity conditions of the rational quadric Bezier curves is introduced.By adjusting the weights of the conditions,which is a new global G^2 continuous interpolartion curve through all controlled points is constriucked.In the process of generating the curve,a fast point-by-point generating algorithm is used,and in it only integer additive and subtractive operations are involved,so the results demonstrate the effectiveness of it.

关 键 词：有理二次Bezier曲线 插值 G^2连续 逐点生成算法 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]