插值多项式

In the third chapter, we obtain the average errors(asymptotic order or weakly asymptotic order) of the Lagrange interpolation sequence, the Hermite-Fejer interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

第三章分别给出了基于第一类Chebyshev多项式零点的Lagrange插值算子列、Hermite-Fejer插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差的值。

The experimental results show that the polynomial interpolation has higher accuracy and better data duplication. Therefore, this system uses polynomial interpolation to realize sub-pixel edge localization.

实验结果表明，多项式插值法具有更高的测量精度，数据重复多，所以本系统采用多项式插值法来实现亚像素级边缘定位。

Based on polynomial-interpolation and curve-fitting theory, this paper presents a special feed-forward neural network using Jacobi orthogonal polynomial activation-functions, which exploits a group of order-increased Jacobi orthogonal polynomial functions as the activation-function of hidden-layer neurons.

根据多项式插值与逼近理论，以一组零阀值特例 Jacobi 正交多项式（第二类 Chebyshev 正交多项式）作为隐层神经元的激励函数，构造一种基于 Jacobi 正交基的前向神经网络模型。

There are some mature curve fitting methods in the reverse engineering, such as Lagrange interpolation, piecewise polynomial interpolation, least square method and spline interpolation.

成熟的曲线拟合方法有拉格朗日插值法、分段多项式插值法、最小二乘法和样条曲线插值法等，本文在分析各自优缺点的基础上，提出选用三次样条曲线拟合法。

Using the quartic rational spline function, we can construct a net of feature curves passing through the four corner points P_ which situate at the rows (U-direction) and columns (V-direction) of a m×n rectangular control mesh.

本文构造了3／1型插值有理样条即分子、分母分别为三次、一次多项式的插值函数，该样条函数不仅可通过导数参数的选取，使得插值函数保单调，还可使得插值函数保凸。

Compare the complexity and precision of the polynomial method and orthogonal polynomials method used in geometrical adjustment, an experiment is made; some surface fitting method used in spatial co-registration of multiresolution image are studied and experiments are made to show their different in effects; in order to increase the spectral inherit, we make a histogram match in images to be fused.

比较了图像几何校正的多项式方法和正交多项式方法在复杂度与精度上的差异，进行了仿真实验；研究了不同插值技术在图像配准中的应用，对不同插值方法的效果进行了比较，给出了示意图；为消除图像灰度级不匹配对融合结果的影响，对待融合图像的灰度直方图进行了匹配处理。

Thirdly, interpolation equation, polynomial interpolation filter and interpolation control for timing adjustment are studied.

最后针对定时调整算法，研究了插值等式、多项式插值滤波器及插值控制，模拟了插值环路的性能。

The local minimum relative distances and the corresponding times, as well as the time when one space object enters and exits in the ellipsoidal region of another one are determined by solving the roots of the polynomials.

由A-N算法提出的准则不能直接计算插值时间步长并可能导致丢根，对此根据多项式插值误差理论提出了一种自适应的插值时间步长选取方法。

Interpolating trigonometric polynomial parametric curves with C~2 (or G~1) continuity can be automatically generated without having to solve any system of equations or do any iterative computation. Then, the convexity of the constructed curves can be guaranteed by the appropriate value of the shape parameter.

在无需反求方程组、迭代计算和最值求解的前提下，即可产生插值给定点列的C~2或G~1连续的一族三角多项式样条曲线；进一步研究了该类曲线的保凸性，得到插值曲线保凸时形状参数的取值范围。

The study on the algebraic interpolation and the trigonometric interpolation is rapidly developed in view of both theoretical reasons and applications.

由于理论和实践的需要，代数多项式插值和三角多项式插值的研究在近几十年来发展很快。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐