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1)  H-Ball curves
H-Ball曲线
1.
The basis of space K_n, called H-Ball basis, is constructed based on H-Bézier basis, and then H-Ball curves are defined with this new basis.
在H-Bézier基的基础上构造的一组新的基称为空间Kn的H-Ball基,用这组H-Ball基定义的曲线称为H-Ball曲线
2)  Said-Ball curve
Said-Ball曲线
1.
Approximate merging of a pair of Said-Ball curves;
两相邻Said-Ball曲线的近似合并
2.
An approximation method for multi-degree reduction of Said-Ball curves;
Said-Ball曲线的降多阶逼近
3.
Extension of quartic Said-Ball curve
四次Said-Ball曲线的扩展
3)  Ball curves
Ball曲线
1.
Hyperbolic polynomials Ball curves.;
双曲混合多项式形式的Ball曲线
2.
A recursive algorithm for conversion of Bézier curves and Said Ball curves is presented, which is based on unified representation of Bézier curves and Said Ball curves.
根据 Bézier曲线与 Said- Ball曲线的统一表示 ,给出了 Bézier曲线与 Said- Ball曲线之间相互转换的递归算
3.
We give one method for multi-degree reduction of Ball curves.
给出了Ball曲线的一种降多阶逼近方法。
4)  Wang-Ball curve
Wang-Ball曲线
1.
This paper presents the fast subdivision algorithms for the Wang-Ball curve.
本文首先介绍Wang-Ball曲线细分的快速算法;然后利用与Bézier曲线的转换矩阵,推导出WangBall曲线的细分变换为相似变换;同时,并给出了具体的数值实例。
2.
In order to extend representation of free form curve and surface,this paper presents one family of new curves which is unified representation Bézier and Wang-Ball curves are its special cases.
为了扩大自由型曲线曲面的选择范围,提出了一族介于Bézier曲线与Wang-Ball曲线之间的新型曲线,并在形式上将Bézier曲线与Wang-Ball曲线统一起来;同时给出了有关的升阶公式、递推算法以及将基函数用Bernstein多项式来表示的系数公式。
3.
A polynomial base function of 5th degree with shape control parameter λ is presented which is an extension of base function of quartic Wang-Ball curve.
给出了一个含有参数λ的五次多项式基函数,是四次Wang-Ball曲线基函数的扩展。
5)  Wang-Ball curves
Wang-Ball曲线
1.
Chapter two is focused on the Wang-Ball curves, including definition, properties and recursive algorithm.
第二章介绍Wang-Ball曲线的定义及性质,以及Wang-Ball曲线的递归求值算法,利用Wang-Ball基函数的对偶泛函,作者在这里给出Wang-Ball曲线的显式细分算法,并由此导出几个计算组合恒等式。
2.
Chapter two is focused on the Wang-Ball curves, including definition, properties and recursion algorithms.
第二章介绍Wang-Ball曲线的定义及性质,以及Wang-Ball曲线的递归求值算法。
6)  generalized Ball curve
广义Ball曲线
1.
G~2 Beta constraint of generalized Ball curves
组合广义Ball曲线的G~2Beta约束
2.
As a kind of generalized Ball curves, Wang Ball curves have shown greatly efficient effects on evaluating parametric curves, degree elevation and degree reduction.
Wang Ball曲线作为一种广义Ball曲线已经在参数曲线求值、升降阶计算中显示出极其有效的作用 。
3.
Enveloping theorems of B e zier and B-spline curves have been developed by su[4], In this paper,euveloping theorem of generalized Ball curve will be discussed .
Bzier曲线和B样条曲线的包络性质已在[4]中讨论过,本文研究广义Ball曲线的包络性质。
补充资料:Hesse曲线(代数曲线的)


Hesse曲线(代数曲线的)
Hessian (algebraic curve)

  11油限曲线(代数曲线的)【H台自11(.妙如允.抖e);recc咖,T~aaa,即r药pa一吸ee二o‘二p.助蓝] n次代数曲线(司罗玩水c~)的He丈祀曲线就是其极二次曲线能分裂为两条直线的点的集合,也是第一极曲线的二重点构成的集合.n次非奇异曲线的He丈七曲线是一条次数为3伪一2)、类为3(n一2)(3n一7)的曲线.设介O是这条n次曲线的齐次坐标方程,关丘=刁:f/刁xi刁、,则它的He丈犯曲线的定义方程为 !不:关:五,} }五:关:五31=0. }人,人2人3}特征不等于3时的三次非奇异曲线的H既七曲线与这条曲线交于9个通常拐点.因O.H改e(l 844)而得名. A .E.H困阳。B撰
  
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