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1)  discretization/rational tensor product Bézier volumes
离散化/有理Bézier体
2)  rational Bézier surfaces
有理Bézier曲面
1.
Degree reduction approximation of rational Bézier surfaces;
有理Bézier曲面的降阶逼近
2.
The sufficient and necessary condition for the existence of linear Mbius transformations that can standardize the rational Bézier surfaces is given based on Mbius reparameterization theorem.
根据Mbius定理给出了有理Bézier曲面通过线性Mbius变换进行标准化的充要条件。
3)  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。
4)  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
5)  rational Bézier interpolation
有理Bézier插值
1.
Based on the proper segmentation of algebraic curves,the rational Bézier interpolation on "Seed Points" to algebraic curve segments is given.
基于代数曲线的合理分割,提出了曲线段的"种子点"有理Bézier插值方法。
6)  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。
补充资料:离散时间周期序列的离散傅里叶级数表示
       (1)
  式中χ((n))N为一离散时间周期序列,其周期为N点,即
  式中r为任意整数。X((k))N为频域周期序列,其周期亦为N点,即X(k)=X(k+lN),式中l为任意整数。
  
  从式(1)可导出已知X((k))N求χ((n))N的关系
   (2)
  式(1)和式(2)称为离散傅里叶级数对。
  
  当离散时间周期序列整体向左移位m时,移位后的序列为χ((n+m))N,如果χ((n))N的离散傅里叶级数(DFS)表示为,则χ((n+m))N的DFS表示为
  

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