样条函数

By a more precise estimation of maximum value of a B-spline basis function and utilizing of the local support property of B-spline basis function, the control points of a set of compatible B-spline curves are reduced, which makes the skinning algorithm more effective.

对B样条基函数的最大值进行了更为精确的估计，并且充分利用B样条基函数的局部支撑性，尽可能多地删除相容性处理后B样条曲线的控制点，使得蒙皮算法更加有效。

The basic idea of the method is as follows: an algebraic theorem is used to avoid computing the composition and multiplication of B-spline basis function by Blossom and Polar form, and to reduce the computation by solving linear equations.

基本思想是：运用代数基本定理避免通常B样条基函数复合所采用的极形式以及非常烦琐复杂的开花运算，把B样条基函数的复合、乘积运算转化为求解线性方程组。

A new method of controlling moving path in real-time for engineering animation is presented based on de Boer algorithm for B-spline construction.

本文引入一种新的实时控制工程动画运动路径的方法，以构造B样条的德波尔算法为基础，在初始驱动样条路径上进行节点插入的局部升阶，生成新的插入节点u，并实时响应控制参数的输入v，将输入参数节点与节点插入生成的节点形成一组控制节点用来控制样条的偏移度，然后引入关于时间t的线性函数的质量权重Wk来控制路径曲线的偏移量。

This thesis will be expanded from two aspects: first, delta-sequence obtained by cubic spline interpolation cardinal function showed the properties of symmetry, Riesz basis and interpolation. Non linear convection diffusion equation (Burgers′equation) was used as an example. Then we modified this delta-sequence to improve the attenuation, the same example was used in numerical application.

在小波方法与PDE算法相结合方面，本文主要从两方面入手：首先是以样条插值基函数为基础构造δ-序列核，以非线性对流扩散方程为例给出了一种数值算法；进而对三次样条插值基函数进行改进，构造新的具有更快衰减性质的δ-序列核，同样以非线性对流扩散方程为例验证了新函数在数值求解中的有效性。

This paper uses cubic spline interpolation function, setting up a mapping between control inputs and control outputs directly based on the data of control input-output, and receives the control algorithm of cubic spline interpolative control for single variable and two variables to separately control the first order system and second order system.

本文利用三次样条插值函数，直接由控制输入输出数据对建立了控制输入与控制输出之间的映射关系，得到了一元三次样条插值控制算法和二元双三次样条插值控制算法，二者可以分别对单输入单输出系统和双输入单输出系统进行控制。

In the part of model establishment and empirical analysis, the dissertation using the international popular models, spline model and Nelson- Siegel model, to establish the zero-coupon bond yield curve in China and also analyze and appraise the result.

在模型构造及实证分析部分，论文运用现在国际上流行使用的样条函数模型和Nelson—Siegel模型构造了我国的零息票债券收益率曲线，并对估计结果作出了分析和评价。

In this paper, the dimension of the double periodic cubic C1 spline space over non-uniform type-2 triangulations is determined and a local support basis is given.

本文确立了非均匀Ⅱ型三角剖分上双周期三次样条函数空间的维数，并给出了一组具有局部支集的基底。

Fermat's principle ; ray tracing ; spline function ; gradient method ; target method

费马原理；射线追踪；样条函数；梯度法；打靶法

First,using cubic spline function to describe the geologic model in detail,then using fermat's principle to introduce deferential form for a set of raypath equations.

首先利用三次样条函数详细描述地质模型，根据费马原理导出微分形式的射线路径方程组。

They also pointed that the existence of an affine atlas is soley determined by the topology of the Riemann Surfaces.

同时也指出了样条函数的存在性与黎曼面的结构有着深刻的关系。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。