样条函数

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。

According to different characteristics of CMM error distribution, single error measurement model is built by cubic spline principle and double cubic spline function.

根据三种类型三坐标测量机误差分布的特征，提出了利用三次样条原理和双三次样条函数建立测量机一维和二维相关性误差模型。

In this chapter we discussed the existence,uniqueness and approximation degree of binary cubic splines with C~2 connectivity for type-Ⅱtriangulations on rectangular domain,and we also gave a analysis of approximation of the interpolation splines.

本文还研究了二元三次样条函数在曲面重建中的应用问题，在TYPE-Ⅱ型剖分下，对于三次样条插值曲面的C~1-拼接问题，许多学者在这方面展开了大量的研究

From the empirical distribution function,a new algorithm of the distribution function is obtained by using the theory of the spline function.

由经验分布函数出发，利用样条函数理论，给出构造分布函数的一种算法。

The next two chapters are the main content. From empirical distribution function, using theory of spline function , give new algorithms of monad distribution function and multivariate distribution function separately.

第三章和第四章由经验分布函数出发，利用B—样条函数理论，分别给出构造一元分布函数和多元分布函数的方法。

Leastsquare method and Lagrange's interpolation formula see their applicationsfor fitting fore-and-aft lines-whose aim is to calculate the intersection point ofequivalent inclined waterline-and differences. In order to replace theinconvenient alternate conduct of drawing and calculating, improvement hasbeen introduced into the paper which means all work can be done bycomputer. Capacity calculation cannot be done without boundary layer build-up. Fit every area curve and area moment curve is necessary because ofinterpolation.

在第二章中，给出了B样条函数的数学表达形式，推导了B样条曲线下所围面积、面积矩公式；讨论了最小二乘法和拉格朗日插值法的数学形式，并在拟合船体型线上给出首、尾轮廓线的具体实例，对比不同方法进行拟合的差异，其目的是为了求得与等体积倾斜水线的交点；而水线的确定改变了以往人工作图与计算交替进行的不足，尝试用计算机完全代替人工作图，以求有所改进；在舱容计算中，在至少包括舱室前、后壁的范围内拟合横剖面积、面积矩曲线，插值求得任一纵向位置处的剖面，以解决舱室边界条件。

Based on the theory of Vlasov, this paper proposed the method of spline Ritz to analyse the restrained torsion of thin walled bar with open section, combining the traditional Ritz method and spline function method.

同时在符拉索夫理论的基础上，结合传统的里兹法，利用样条函数提出了开口薄壁杆件约束扭转计算的样条里兹法。

In this paper the application of spline function is discussed in the view of computer animation making.

本文从电脑动画制作角度讨论了样条函数的应用，并介绍了一种计算机固化技术可采用的B样条算法，通过改变一些关键数值和改进编程技巧，更好的运用这个算

In the spline interpolation for well trajectory ,each coordinate of the well trajectory can be indicated as a 3-order spline which variated with well depth.

在计算实钻井眼轨迹的样条插值法中，假设井眼轨迹的每个坐标分量都可以表示成以井深为参数的分段三次样条函数。

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。