查询词典 interpolation method

Regionalize by clustering helps improve the prognostic precision of different interpolation method. Concerning complanate hypsography such as plain and hill, the interpolation errors of accumulated temperature don"t have obvious change trends and regularity when the number of meteorological stations increase. Namely, increasing station density can"t effectively ameliorate interpolation error. In the regions where terrain is complex the interpolation errors present degressive trend with the increasing number of meteorological stations.

在平原，低山丘陵等地势平坦的地区误差对站点密度增加的响应不具有明显趋势和规律性，即站点密度的增加对插值误差的改善没有明显效果；在地形复杂，地势起伏大的地区误差随站点密度的增加在一定范围内呈大幅度下降趋势，即插值站点数的变化对插值结果有较显著的影响。

In this paper ,on one hand ,we establish the weakly asymptotic order of the classical Bernstein interpolation sequence approximate functionin the Wiener space(or 1-fold integrated Wiener space),on the other hand,we discuss the asymptotically order for the average error of Lagrange interpolation sequence, Hermite-Fejer interpolation sequence and Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

本文一方面确定了经典的Bernstein多项式算子列逼近函数时在Wiener空间(或1-重积分Wiener空间)下的平均误差的弱渐近阶；另一方面确定了基于第一类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弱渐近阶。

The interpolation algorithm of introduced error compensation for complex parametric curve in space is proposed for the high precision interpolation of parametric curve on the basis of studying the first, second order taylor expression parametric curve interpolation algorithm and the plane parametric curves interpolation algorithm.

以一、二阶泰勒展开式参数曲线插补算法和平面参数曲线插补算法研究为基础，提出引入误差补偿值的复杂空间参数曲线高精度插补算法以实现空间曲线的高精度插补。

Osculatory Rational interpolation is similar to the polynomial Hermite interpolation, and for binary Osculatory rational interpolation, Similar to polynomial interpolation formulas haven't appeared from now on.

切触有理插值是类似于多项式插值中的Hermite插值的一种插值，而对于二元切触有理插值，目前还没有构造出类多项式的插值公式。

In addition also using algebra interpolation leveling system error, including the linear interpolation, the parabola interpolation and the partition interpolation.

此外还利用代数插值法校正系统误差，其中包括线形插值法、抛物线插值法和分段插值法。

To reduce the error between the interpolation function regaining the sampled signal and interpolation function ha by Shannon sampling theorem, this paper suggests that the common linear interpolation is replaced by a second order approximation of the parabolic interpolation.

为减小恢复被采信号所用的内插函数与山农采样定理要求的内插函数ha之间的误差，提出了用抛物线内插--ha的二阶近似代替常规的线性内插。

An S-shape acceleration/deceleration control model is developed by summation progression and the corner of two conjoint lines is adopted as a parametric variable to control the feedrate through the inflexion of two lines. Based on these, interpolation process is divided into two steps: interpolation pretreatment and interpolation point calculation. Feedrate planning is accomplished in the pretreatment step. Interpolation point calculating only depends on the real-time feedrate and the direction vector of the line.

该算法以级数求和的方法推导了S型加减速控制模型，并以小线段夹角为参变量控制拐点通过速度建立了小线段速度衔接模型，在此基础上，算法将插补过程分解为插补预处理及插补点计算两个步骤，预处理中对小线段进行速度规划并设计了线段速度的递推处理方法，插补点仅需根据当前速度及线段方向向量即可求出。

As a application of this theory, we discussed the interpolation problems in which the nodes are ununiform rectanglar grids in real space. We gave the lowest interpolation bases of nodes in rectanglar and sidestep-shaped area. Another application is for finite elements theory. We mainly discussed finite elements of Hermite-Birkhoff type interpolation and gave a new algorithms for a interpolation bases.

作为上述理论的具体应用，我们一方面讨论了插值节点为实空间上的非均匀矩形格点的插值问题，主要给出了矩形区域和阶梯形区域中格点上插值问题的按序最低的插值基的一般公式，另一方面我们研究了多元插值在有限元中的应用，主要是针对Hermite-Birkhoff型插值的有限元给出了计算插值基函数的算法。

The research of both theories and practices of gridding in the dissertation shows that: Linear interpolation based on triangulation is simple computationally and fast, but its gridding results isn't smooth and its precision is low; Multiquardric method is also simple computationally with high precision and good effect, but its gridding is slow because it is based on global calculation; Minimum curvature method is fast with high precision and good effect, but its gridding quickly degrades over areas with sparse data control when grid spacing smaller than the actual grid spacing is used; Ordinary Kriging method is high-precision, but its gridding is slow because of large calculation; Inverse interpolation is a computationally fast, efficient and robust method with high accuracy and perfect effect, and its gridding results of different gridding orientations are basically identical. Inverse interpolation is suitable for thegridding of geophysical irregular data, especially for large-scale geophysical irregular data.

本文的方法研究和数据试验分析表明：基于三角网的线性插值法计算简单，速度快，但其网格化结果不光滑，精度不够；多元二次函数法计算简单，网格化精度高，效果良好，但它是基于全局计算的，计算速度较慢；最小曲率法计算速度快，网格化精度高，效果良好，但其在稀疏控制点的网格化容易出现振荡现象；普通克里格法网格化精度高，效果良好，但其计算量较大，一般计算速度慢；反插值法网格化计算稳定，速度快，精度高，效果好，而且在网格化方向不同的情况下其网格化精度效果都达到基本一致，适合于地球物理不规则分布数据的网格化，特别是大规模地球物理不规则分布数据的网格化。

A novel least squares algorithm based on anti-WKB method and linear segment interpolation,which is called prediction-verification method, is proposed.This method takes the values calculated by anti-WKB and linear segment interpolation as approximation,then uses the least squares fitting,and after that compares the linear segment interpolation based on the anti-WKB method with it.

提出一种基于反WKB法与分段线性插值的最小二乘拟合方法来确定离子交换玻璃波导的横向折射率分布，它将反WKB法与分段线性插值所计算出的结果作为近似值，然后进行最小二乘拟合，并与基于反WKB的分段线性插值方法进行比较。

The work of this paper is as follows: 1. Looking back the progressing history of the linear motor, introducing the features of the elevator driven by linear induction motor, radicating the topic of this paper "the digital frequency variable control of the elevator bi-side direct driven by linear induction motor". The research of this paper covers the conventional VVVF control, space vector based VVVF control, vector control and DTC.

本文主要开展了以下几个方面的工作： 1 回顾了直线电机发展历史，电机的驱动技术演变，特别是针对直线电机的驱动，简要介绍了直线感应电机驱动电梯的优点和不同结构类型，对传统的v／f控制，基于空间矢量法的v／f控制，矢量控制，和基于电压空间矢量的直接转矩控制进行了比较，确立了本课题的研究主题：直线感应电机双边直推式驱动电梯的全数字变频控制。

The article combines with the treatment of a superficial civil air defense work to introduce how the grouting method to improve the performance of the backfill soil.

文章从治理漂浮人防工事的角度提出了注浆技术在改善回填土性质方面的应用，并详细阐述了注浆技术的施工流程。