1) Rational Poisson curves
有理Poisson曲线
2) Poisson curves
Poisson曲线
1.
Poisson basis functions and Poisson curves;
Poisson基函数与Poisson曲线
2.
This concept of degree elevation for Bézier curves is extended to Poisson curves.
将Bézier曲线的这一升阶思想推广到Poisson曲线。
3.
This paper makes research about Poisson curves,obtains a evaluation algorithm applied to compute one point in Poisson curves.
文章对Poisson曲线进行了研究,在上述算法的基础上,提出了计算Poisson曲线上一点的递推算法,并将其推广到有理Poisson曲线的情形,提出了有理Poisson曲线的递推算法。
3) Poisson curve
Poisson曲线
1.
Any analytic function F on the interval [0, R ) defines a Poisson curve on the same interval, and analytic function also expresses power series.
在区间[0,R)上任何解析函数F都可定义同一区间上一条Poisson曲线,并且解析函数也可表示为幂级数形式。
2.
Poisson curves and surfaces hav.
Poisson曲线曲面有着良好的几何性质和代数性质，而且它可以表示特殊曲线曲面或超越曲线曲面，本文主要研究Poisson细分曲线曲面的造型方法。
4) rational curve
有理曲线
1.
By using the projective geometry,some schemes for generating rational curves from pencil of lines are investigated in this paper.
采用射影几何学方法，研究从直线束生成有理曲线的技术方案。
2.
In this paper, a new concept called uniform interval implicitization of rational curves is proposed, which is finding an uniform interval curve with lower degree bounding a given rational curve and mini.
故此提出了参数式有理曲线均匀区间隐式化的一种新方法,利用区间算术和空间重心坐标的定义,可以用一个低阶区间多项式隐式曲线来逼近所给的参数式有理曲线,同时使一些目标函数最小化,达到用隐式多项式曲线来逼近参数式有理曲线的很好效果,并提供了一些算法和实例。
3.
In this paper, a new approach based on perturbation method is proposed for the piecewise polynomial approximation of rational curves and surfaces.
本文利用摄动的思想，以摄动有理曲线（曲面）的系数的无穷模作为优化目标，给出了用多项式曲线（曲面）逼近有理曲线（曲面）的一种新方法。
5) rational curves
有理曲线
1.
Let X be a n dimensional projective variety,x be a fixed point in X,and let C_t(X,_X(1)) be the set of rational curves C of degree t passing through x in X,p_t(X)=dimC_t(X,_X(1)) for any positive integer.
设X是n维射影代数簇,取定X中一点x,设Ct(X,X(1))表示X中的过x点的t次有理曲线的集合,pt(X)=d imCt(X,X(1))。
2.
However, due to the advantages of implicit curves and surfaces which the parametric curves and surfaces don t have, sometime we need to use the implicit form of a rational curves and surfaces.
有理曲线和曲面作为一类重要的参数曲线曲面,在计算机辅助设计与制造中有着广泛的应用。
3.
However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces.
有理曲线和曲面作为一类重要的逼近函数，在计算机辅助设计与制造中有着广泛的应用。
6) 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。
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).
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参考词条