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1)  rational pentagonal Bézier
有理五次Bézier
1.
We give necessary and sufficient conditions for rational pentagonal Bézier curves representation of circular arcs whose circular angle are more than zero and less than 2π and whole circle.
给出了有理五次Bézier曲线精确表示0<2θ<2π(θ为圆心角)的圆弧及整圆的充要条件,加以了证明并给出了图例。
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)  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。
4)  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。
5)  rational cubic Bézier interpolation
有理三次Bézier插值
1.
Segment rational cubic Bézier interpolation to functions
函数分段有理三次Bézier插值
6)  Quintic Bezier curve
五次Bézier曲线
补充资料:次杨乐道韵六首其五——五上巳闻苑中乐声书
【诗文】:
苑中谁得从春游,想见渐台瓦欲流。
御水曲随花影转,宫云低绕乐声留。
年华未破清明节,日暮初回祓禊舟。
更觉至尊思虑远,不应全为拙倡优。



【注释】:
【注释】:原题:次杨乐道韵六首其五——五上巳闻苑中乐声书事



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