查询词典 interpolation polynomial

This paper discussed some unsolved problems of traditional multivariate polynomial interpolation problems with constructive algebraic geometry methods.

本文利用构造性代数几何方法研究传统多元多项式插值问题中的一些遗留问题。

We researched the problem of Lagrange interpolation of polynomial space on the algebraic manifold.

研究高维空间中代数流形上多项式空间的Lagrange插值问题。

In this paper, We firstly present a nonuniform sampling DCT method based on the relationship of Chebyshev polynomial interpolation and DCT, in which, the sampling points are chosen as zeros of Nth degree Chebyshev polynomials of the first kind.

文章首先利用Chebyshev多项式插值与DCT变换之间的相互关系，提出了基于第一类Chebyshev多项式的第N次多项式的零点作为非均匀取样点的DCT变换方法。

Both continuous paraxial approximation formula and two order discrete paraxial approximation formula are developed for one way wave motion transmitting apparently along normal direction based on kinematics model and local polynomial interpolation function.

引言 Clayton和Engquist在1977年和1980年提出的傍轴近似公式[1，2]是迄今为止最具代表性的局部人工边界条件之一。但是上述傍轴近似公式是从特定的波动微分方程出发推导建立的，因此其普适性受到限制。

This is an untouched measuring way. The cameras are calibrated in the way of RAC two steps, first. With the polynomial interpolation, the pictures catched from the steel plate are treated to detect the edge in subpixel with a cross window arithmetic operators, which can fit non uniform illumination, keep the edge character and do filter in a better way. Three-dimensional scenery could be rebuilt from the two-dimensional pictures with the methods of least square fitting and contradictorily clairvoyance. Thus, the distance and its variance of two points in the given position of the plate can be achieved. It is expected that this study can provide a new and useful tool to the research on the theory of distortion of line heating.

这种非接触的测量方式，采用RAC两步法对摄像机进行标定，然后对采集到的钢板图像进行分析处理，通过多项式插值的方法，采用具有保持边缘特征和滤波功能，且能适应非均匀照明的十字窗图像边缘检测算子进行象素级边缘检测，再用最小二乘拟合法和逆透视法对二维图像进行三维重建，便可测出钢板上给定点的距离及其变化值，以期为水火弯板的变形机理研究提供一种新的检测手段。

The objective of this paper is to evaluate various spatial interpolation methods, including ordinary Kriging, simple Kriging, lognormal Kriging, universal Kriging, disjunctive Kriging and inverse distance weighting interpolation for estimating soil surface Hg content with lognormal distribution, the linear and second-order polynomial trend, and t...

以分布类型为对数正态分布，同时具有一阶和二阶趋势效应的土壤重金属Hg为例，分别应用普通克立格法，简单克立格法，对数正态克立格法，泛克立格法，析取克立格法和距离反比权重法等 6种内插方法对其进行了估值，综合比较了各种内插方法的预测误差、统计特征值及插值结果分布图。

From our results we know that the average error of the Lagrange interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes in the 1-fold integrated Wiener space equal weakly to the average error of their corresponding optimal approximation polynomial in the 1-fold integrated Wiener space,and as a kind of information-based operation,they have simple form and their recover functions are polynomials,in the 1-fold integrated wiener space,their average error equal weakly to the corresponding minimal information radius whose permissible information operators class is function values.

通过我们的结果可以知道，基于第一类Chebyshev多项式零点的Lagrange插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差弱等价于相应的最佳逼近多项式在1-重积分Wiener空间下的平均误差，并且作为形式简单且恢复函数为多项式的一种信息基算法，其在1-重积分Wiener空间下的平均误差弱等价于相应的以函数值计算为可允许信息算子的最小平均信息半径。

Two methods are given for generating three-dimensional boundary-conforming grids perpendicular to the boundary. The one is the polynomial interpolation method. Some coefficients of the polynomial are determined by the perpendicularity of the grids to the boundary.

提出了两种生成三维贴体与边界正交网格的方法，第一种方法是多项式插值方法，多项式中的某些待定参数由网格与边界正交来确定。

Compared with the linear interpolation and quadratic interpolation channel estimation based on polynomial models, it has the characteristic of low complexity, simple arithmetic and real time computation.

相对于其他线性插值及二次插值的插值信道估计方法，该方法具有计算复杂度低，算法简单，可以实时计算等特点。

First, we study the optimization of the estimate mean-square error of the polynomial interpolation. We introduce a window shift concept, derive the optimal window shift, and propose the estimation method of the value under a given interpolation order.

首先，我们探讨多项式内插通道估计演算法的估计误差之最佳化，提出滤波器窗口漂移概念，在给定内插阶数的情况下，推得最佳漂移量的理论值与其值估计方法。

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