三次样条函数

First, a program which can be used to obtain the encoder values of each joint D. C. servomotor and then change them into angular position is developed. By means of cubic spline, the angular velocity and angular acceleration are calculated.

本文开发了实时采集和转换机器人各关节的码盘值为角位移的程序，并提出了以三次样条函数求各关节角速度和角加速度的方法，提高了计算精度。

Combining the definition of CWT and the derivative property of convolution, we constructed a general method to calculate the approximate derivative of signal through CWT by using the first and second derivative of Gaussian function, Haar, and the first derivative of three-order-Spline function as wavelets. As compared with the other approaches of calculating derivative, which include the numerical differentiation, polynomial filters, Fourier transform, and the recently proposed DWT method, fast calculation and simple mathematical operation were remarkable advantages of CWT method. For the signal corrupted by severe noise (Signal-toNoise Ratio=5), the satisfactory results could also obtained via CWT method through appropriately adiusting the dilations.

在此基础上，(1)结合连续小波变换的特点和卷积的微分性质，提出了使用Gaussian函数的一阶和二阶导数，Haar和三次样条函数的一阶导数作为小波函数的连续小波变换计算信号近似导数的一般性方法，与其他导数计算方法(包括数字微分法，多项式滤波法，Fourier变换法和离散小波变换法)相比，本法简单便捷，计算速度快，对于噪声含量较高的信号(S/N为5)，只要适当调节尺度即可获得比较满意的结果。

In the dissertation, the nonlinear bending of circular sandwich plates based on Reissner theory is analyzedThe method of Point Collocation are used in the calculation,with the B-spline function taken as the trial function.

本课题研究了基于Reissner理论的夹层圆板的非线性弯曲问题。文中采用配点法计算，以三次样条函数作为应力函数和挠度函数的试函数。

In this article, drawing method for grain composition curve by cubic spline function on computer is expounded, calculation method of sediment weight percentage for different grain-size classification is also put forward.

阐述了在计算机上如何利用三次样条函数用数学的方法绘制颗分曲线，并提出小于各粒径级别的沙重百分数的方法。

A new application to parameter estimation in cubic spline function fitting via genetic algorithms is presented.

介绍了遗传算法的一种新应用——三次样条函数拟合中的参数估计问题。

Cubic spline function fitting is a good method in the curve fitting because it is characterized by very good subsection smoothness.

三次样条函数拟合是曲线拟合的一个公认的较好方法，它具有很好的分段光滑性。

However, the smoothness and convergence of these methods are not satisfactory. Because cubic spline function can be a piecewise, and its second order derivative is continuous, it is smooth and convergent.

但以上算法的光滑性和收敛性不好，而三次样条函数具有连续的二阶导数，且可采用分段函数的形式，具有很好的光滑性和收敛性。

Using cubic spline interpolation function, we construct a finite element model to approximate the nonlinear Schr〓dinger equation, and provide a complete discrete scheme with the conservation properties of mass and energy.

本章从应用角度出发，着重讨论孤波形式的解的计算，为此我们利用三次样条函数的插值基函数构造出非线性薛定谔方程的一个有限元离散模型，给出了具有保质量与能量守恒的全离散计算格式。

The complicated cam profile can be expressed by one continuous function while not postulating the types of cam curves in advance.

将复杂的凸轮曲线用一个连续函数表示，而不必事先假定凸轮曲线的类型，并可通过适当调整三次样条函数的系数Cj 改善曲线形状以适应额外的内点和边界条件。

This paper establishes cubic spline function, analyzes subsection curve function and curve slope and curvature, at last decides to place the curve especial points which can be obtain easement curve length and other line parameters, such as the ZH point (end of line and beginning of transition curve), the HY point (end of transition curve and beginning of circular curve), the QZ point, the YH point (end of circular curve and beginning of transition curve), the HZ point (end of transition curve and beginning of line).

针对公路平面线形的8种组合类型，其线形元素特征则由最基本的直线、圆曲线、缓和曲线组成的特点，解析三次样条函数模型，得分段曲线函数、曲线斜率、曲率，从而确定曲线特征点（直缓ZH点、缓圆HY点、曲中QZ点、圆缓YH点、缓直HZ点）位置，进而得到曲线缓和曲线长度及其他线形参数。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。