查询词典 interpolation polynomial

The close relationship between the Hybrid polynomial approximation and the classical Hermite polynomial approximation to rational curves and surfaces are studied, Hermite approximation is in fact a special case of Hybrid approximation. The sufficient and necessary condition for the convergence of Hybrid approximation to rational Bézier surface is deduced and proved.

围绕着有理曲线曲面的Hybrid逼近，作者研究了有理曲线曲面的Hybrid多项式逼近与传统的Hermite多项式逼近之间的密切关系，并指出Hermite逼近事实上是Hybrid逼近的一种特例，此后演绎并证明了有理Bézier曲面的Hybrid多项式逼近收敛的充分必要条件。

The problem of interpolation by a special kind of polynomial curves-Pythagorean hodograph curves in computer graphics is studied in this paper.

对计算机图形中一类特殊的多项式曲线？？ Pythagorean hodograph曲线的 C1 Herm ite插值问题进行研究。

By Llibre's algebraic invariant theory, at first on the basis of classification for quadric and quadric homogeneous binary polynomial, the plane linear and cubic homogeneous polynomial differential systems are classified.

利用Llibre的代数不变式理论，首先由二元二次和二元四次多项式的分类结果，对一次和三次齐次多项式微分系统进行代数分类，同时补充了已有结果中出现的漏洞；其次，由称共变张量空间的性质，对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类，使分类后同类系统的示性多项式有相同零点；最后通过讨论一类简单系统的有界性说明了分类的方便方处。

The benefit of this method is its mathematical simplicity and its consequent ease in programming. Secondly, it brings out a new 3D interpolation method—hypersurface spline method, this method extends the surface spline method of 2D interpolation into 3D space.

其次，提出了一种基于超曲面样条函数进行三维空间插值的新的三维空间插值方法，该方法将二维的曲面样条函数插值法进一步拓展到三维空间。

To compensate for the incomplete projection data, polynomial interpolation method is proposed to deduce more projection data from the available ones. Furthermore ,with the Chapman model assumption of electron density distribution, a method to expand the view angle and evalute the projection data under low elevation angle is presented.

本文提出了用多项式插值的方法增加接收站观测数据，并根据对电离层垂直方向Chapman模型的假设，提出了扩展投影角度的方法，以估算观测中无法得到的低仰角投影数据。

First, mathematical foundation of synchronization, i.e. the theory of parameter estimation is introduced. Then, DA/DD or NDA timing synchronization methods based on the ML estimation of timing parameter are presented. They are all widely applied in actual digital communication systems. Interpolation theory in digital signal processing has application in timing synchronization, which makes the sampling clock independent of the timing control so that timing adjustment is realized completely through digital disposal. The issue of interpolation in timing synchronization is discussed.

首先，介绍了定时同步实现的数学基础，即信号参数估计理论；从定时参数的最大似然估计出发，介绍了基于数据辅助的定时同步方法和基于非数据辅助的定时同步方法，他们在实际的数字通信系统中均有广泛应用；论文探讨了数字信号处理中插值理论在定时同步中的应用，它使得接收端的采样时钟独立于定时控制，定时调整完全通过数字处理方法得以实现。

The error estimation inequation of Wachspress interpolation indicates that the error of Wachspress interpolation decreases with the reduction of polygonal element size.

利用wachspress插值形函数的性质和二元函数的Taylor展开式的向量形式，给出了wachspress插值的误差估计不等式。

This thesis is devoted to singular point quantities and integrability conditions of complex polynomial differential systems with resonant singular point, and center-focus determination and bifurcation of limit cycles of planar polynomial differential systems.

在第二章中，对具p∶-q共振奇点的复自治多项式微分系统引入广义奇点量的概念，它是文[103]中奇点量概念的推广，它以在实平面多项式微分系统的中心焦点判断与极限环分支中有着极为重要意义的焦点量和鞍点量作为特例。

Compared with the traditional interpolation algorithms, the new algorithm improves visual effect and reduces interpolation error greatly.

该算法与传统的插值方法相比，其视觉效果和计算误差均有较好的改进。

Based on the minimum path error interpolation method, a new circular interpolation algorithm is proposed, which is of simplity, short run time and positive deviation.

基于最小偏差插补算法的基本思想，提出了一种新的圆弧插补递推算法，该方法算法简单、行速度快、具有正偏差特性。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。