1) rational C-Bézier curve
有理C-Bézier曲线
1.
In this paper the authors analyze the shape features like singularities,inflection points and local or global convexity of rational C-Bézier curve,then give the necessary and sufficient conditions for this curve having one or two inflection points,or a loop,or a cusp,or being local or global convex in terms of the relative position of its control polygons′ side vectors.
对有理C-Bézier曲线进行了形状分析,得出曲线上含有奇点、拐点和曲线为局部凸或全局凸的、用控制多边形边向量相对位置表示的充分必要条件,并讨论了权因子变化对曲线形状图的影响。
2) 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。
3) 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
4) Bézier curve/rational Bézier curve
Bézier曲线/有理Bézier曲线
5) C-Bézier curve
C-Bézier曲线
1.
Continuous conditions between C-Bézier curves and NURBS curves;
C-Bézier曲线与NURBS曲线的光滑拼接条件
2.
Degree reduction of C-Bézier curves based on disturbance of B net and constrained optimization
C-Bézier曲线降阶的B网扰动和约束优化法
3.
The model with the blending functions is constructed based on the reference [1] to generate C-Bézier curves.
文章利用文献[1]构造出带有参数调配函数的模型,用其生成三次C-Bézier曲线。
6) C-Béier curve
C-Bézier曲线
1.
In this paper, a series of methods are presented to construct the circular arc with C-Béier curves.
利用C-Bézier曲线,给出了圆弧的一系列表示方法,讨论了这些表示方法的相互关系。
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