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基于有理二次Bezier曲线的G2连续的插值曲线
引用本文:陈宝平,尹志凌. 基于有理二次Bezier曲线的G2连续的插值曲线[J]. 内蒙古大学学报(自然科学版), 2004, 35(4): 464-466
作者姓名:陈宝平  尹志凌
作者单位:内蒙古财经学院信息管理系,呼和浩特,010050;内蒙古师范大学计算机系,呼和浩特,010022
摘    要:给出有理二次Bezier曲线G^2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G^2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.

关 键 词:有理二次Bezier曲线  插值  G2连续  逐点生成算法
文章编号:1000-1638(2004)04-0464-03
修稿时间:2004-02-10

An Interpolating G2 Continuous Closed Curve Based on Rational Quadric Bezier curves
CHEN Bao-ping,YIN Zhi-ling. An Interpolating G2 Continuous Closed Curve Based on Rational Quadric Bezier curves[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2004, 35(4): 464-466
Authors:CHEN Bao-ping  YIN Zhi-ling
Affiliation:CHEN Bao-ping~1,YIN Zhi-ling~2
Abstract: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.
Keywords:rational quadric Bezier curves  interpolation  G~2 continuity  point-by-point generating algorithm
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