1) quadric rational Bézier curve
二次有理Bézier曲线
1.
An efficient extending algorithm for quadric rational Bézier curve
一种二次有理Bézier曲线延拓的有效算法
2.
A sufficient and essential condition,which the quadric C-curve and the quadric rational Bézier curve represent a same quadric curve,is obtained if the control points of the quadric C-curve are the same as the ones of the quadric rational Bézier curve.
给出具有相同控制顶点的二次C-曲线与二次有理Bézier曲线表示同一参数曲线段的充要条件,由此得到了二次C-曲线不能精确表示双曲线段的结论;另外,还给出了二次C-曲线在任意一点的细分公式。
2) cubic rational Bézier curve
三次有理Bézier曲线
1.
Fairing extending of cubic rational Bézier curve;
三次有理Bézier曲线的光顺延拓
3) quartic rational Bézier spline curve
有理四次Bézier曲线
1.
In this paper,pass weight but is not control point modify have already managed quartic rational Bézier spline curve,carries out G2 continuity for the joining between two adjacent rational quartic Bézier curve;carries out further G2 continuity for the joining between three adjacent rational quartic Bézier curve.
给出了两段相邻的有理四次Bézier曲线G2连续的条件,提出了通过权因子而不是控制顶点来修改有理四次Bézier样条曲线的形状的方法,从而实现了相邻曲线段间的G2的连续拼接;进一步实现了相邻三段曲线间的G2的连续拼接。
4) Quadratic Bézier Curves
二次Bézier曲线
1.
Bisection Algorithms for Approximating Quadratic Bézier Curves by G~1 Biarc Splines;
二次Bézier曲线的双圆弧样条插值二分算法
5) rational Bézier curves
有理Bézier曲线
1.
Some Methods for Shape Modification of Cubic Rational Bézier Curves;
三次有理Bézier曲线的形状调整方法
2.
Convergence of hybrid polynomial approximation of rational Bézier curves;
有理Bézier曲线hybrid逼近收敛性
3.
This paper gives the operator representation of rational Bézier curves′ derivatives,and the operator representation of the necessary and sufficient conditions of G1 and G2 continuous connexion between two adjacent random degree rational Bézier curves according to G1 and G2 continuous conditions.
文章给出了有理Bézier曲线各阶导矢的算子表示,并根据G1和G2连续条件,给出了两条邻接任意次有理Bézier曲线间G1和G2连续拼接充要条件的算子表示。
6) rational Bézier curve
有理Bézier曲线
1.
Approximating a kind of rational Bézier curves and their integral computation and derivatives using polynomial curves;
一类有理Bézier曲线及其求积求导的多项式逼近
2.
Simultaneous blending of arbitrary plane topology with the quadric rational Bézier curve;
用二次有理Bézier曲线同时磨光任意平面拓扑结构
3.
New way of approximating rational Bézier curve with polynomial curve
有理Bézier曲线的多项式逼近新方法
补充资料：有理曲线
有理曲线
rational curve
有理曲线[rati田目curve;p叫.0”场妞aH即抓朗] 定义在代数闭域k上的一维代数簇(司罗bnucva-riety)，它的有理函数域是k上1次纯超越扩张(tran-scendental extension).非奇异完全有理曲线同构于射影直线P’.完全的奇异曲线X是有理的，当且仅当它的几何亏格g等于零，也就是说，X上没有正则微分形式. 当火为复数域C时，(仅有的)非奇异完全有理曲线x是Ri~nn球面C口{的}· B皿.C. Ky几拟oB撰【补注】在经典文献中有理曲线亦称单行曲线(u苗-cursal eurve). 如果X定义在一个不必代数闭的域k上，且X在k上双有理等价于P止，则称X为k有理曲线(无-rational eurve).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条