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1)  interval Ball curve
区间Ball曲线
1.
The boundary of interval Ball curves of degree n is discussed and two algorithms for the degree reduction of interval Ball curves are given by means of linear programming and best approximation respectively.
讨论了n次区间Ball曲线的边界的构成;同时通过讨论区间多项式的降阶,利用线性规划法及最佳一致逼近法,给出了区间Ball曲线的的降阶算法。
2)  interval generalized Ball curves of Wang-Said type
区间Wang-Said型广义Ball曲线
1.
In this paper,interval generalized Ball curves of Wang-Said type(WSGB) is proposed,it can serve as an effective tool for error control and product testing,three methods are investigated for degree reduction of WSGB,namely,perturbation,best uniform approximation method and constrained best uniform approximation method obtained by Chebyshev polynomial.
定义了区间Wang-Said型广义Ball曲线(WSGB曲线),它可作为误差控制和产品检验的有效工具;采用3种方法讨论了其降阶逼近问题,即扰动法、利用Chebyshev多项式导出的最佳一致逼近算法和插值端点的最佳一致逼近方法;给出了各种处理方法的显式误差表示。
3)  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
4)  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。
5)  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。
6)  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。
补充资料:rolling ball methed
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性质:计算防雷接闪器保护范围的方法。该方法是设想一定直径的球体沿地面(或与大地接触且可能承受雷击的导体)由远及近向被保护设施滚动,如该球体触及避雷针等接闪器或其引下线之后才能触及被保护设施,则该设施在接闪器保护范围之内。球面线即保护范围的轮廓线。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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