样条函数

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

In terms of Cauchy s integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body .

采用复解析函数的Cauchy积分公式和物面复势三阶样条函数逼近，提出了一种求解二维半无限体势流绕流问题复势的通用方法。

In the case of 16 boundaries, cubic B-spline function taken as trial function, the solutions to nonlinear stability of truncated conical shells and spherical shells with variable thickness were obtained by the method of point collocation.

在16种边界条件下，以三次B样条函数为试函数，用配点法计算变厚度开顶圆锥壳和球壳的非线性稳定。

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。

Main feature of this paper to use cubic Hermite function, for obtain the closed value and convenient of calculation , choose cubic spline function when the differential coefficient of calculating, two methods make good result of approaching to combine together.

本文的主要特色是引入三次埃尔米特函数，为了使求值结果更为逼近和计算简便性，在求解的过程中又选择了三次样条函数，两种插值方法相结合使得到的结果更为逼近真实值。

The new method applies quadratic spline function to interpolate thenonharmonic function in Duhamel's integral.

本方法是利用二次样条函数对Duhamel积分中的非振荡型函数进行插值，导出了相应的数值积分公式。

The non homogeneity of soil modulus along depth is taken into account. Then the flexibility coefficients can be obtained by solving Lagrange′s equation.

将地基划分为有限个水平层单元，位移函数表示为一次样条函数与Fourier级数的乘积形式，根据复阻尼理论的Lagrange方程，将问题归结为求解若干次低阶复代数方程。

A new kind of algorithm, which is based on Dirac δ-Function, is established by Nonstandard Analysis for M/G/1 queueing system performance gradient estimation with respect to a kind of probability parameter.

新算法在实现过程中需要用样条函数来近似δ函数，但可以同时估计M/G/1排队系统中顾客期望系统时间和忙期期望长度对概率参数的梯度。

As a kind of orthogonal polynomials system,orthogonal spline function has many good properties such as orthogonality and locality.

作为一种正交多项式函数系，正交样条函数结合球面调和函数所定义的矩具有正交性等优良性质。

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。