插值法

Then we used Kriging interpolation technique in geological statistics to establish geological graphics model,and presented the method of searching known sample points in the region to be interpolated adjacent to triangle mesh vertex with"polygon"expanding,and the method of dealing with the impact of boundary and faultage on interpolated results by distance revolving.

首先给出限制条件下的区域Delaunay剖分原理；其次采用了地质统计学中的克里金插值技术建立图件模型，提出了"多边形"扩张法搜索待插值三角网格顶点邻域内的已知采样点，以"距离环绕法"处理了断层和边界对插值结果造成的影响；结合地质图件自动建立过程；最后给出了一个具体的应用实例。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

The traditional inverse distance weighted interpolation can not satisty the requirment of high accuracy because the atmospheric delay variation depends not only on the distance between the interpolated value and observations, but also on height difference.

针对反距离加权内插法在GPS大气延迟估计加密插值中存在的问题，提出了对样本点和待插值点间水平距离和高程差赋予不同影响因子的改进反距离加权内插法。

Three kinds of interpolation methods including Inverse Distance Weight, Ordinary Kriging and Thin Plate Smoothing Spline were used to interpolate monthly average air temperature, precipitation and relative humidity at the spatial resolution by 1.0 km×1.0km in 1971-2000 in 92 meteorological stations, which covered the mountainous areas of the Southwest China. The results were verified by the cross validation and the random validation.

用反距离加权法、普通克里格法、薄盘光滑样条函数法三种空间插值方法，对西南地区复杂山地92个气象站点30 a（1971-2000年）的温度、降水和相对湿度月平均资料进行分辨率为1.0km×1.0km的空间插值，并进行了交叉验证和随机站点验证。

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。

The difference of Runge-Kutta method, the method of multiple scales, the first method of interpolate perturbation, the.

分析了龙格库塔法、多尺度法、插值摄动第一法、插值摄动第二法等4种方法在计算一类非线性振动问题时的差异，给出了每一种方法对应的时程图和相位图，编写了每种方法的Matlab程序。

In this paper, thereare four sections. In the first section, we introduce the basic theory. Inthe second section, we give out the recent main results of multivariateLagrange interpolation. In the third section, we get some theories ofno posed set of nodes from a kind of recursive method of constructingposed set of nodes for bivariate Lagrange interpolation, and we get akind of abnormal posed set of nodes for interpolation form the reversethought of that theory.

本文共分为四章，第一章介绍了有关多元插值的基本理论和方法，第二章讲述了有关多元Lagrange插值和多元切触插值的近期主要结果，第三章我们从有关适定结点组的添加曲线法考虑，得到了一些有关Lagrange插值不适定的结论，并从该结论的反方向思考，得到了一种非常规型插值适定结点组。

The results show that the suppositional meteorological stations can greatly improve the interpolation accuracy, and the ordinary Kriging method was the best among the three selected methods.

结果表明：模拟站点的加入大大提高了插值的精度；采用的3种插值方法中，普通克里格法比反距离加权法和径向基函数法具有更为理想的插值效果。

The comparison among the results of single threshold Kringing value method, ordinary Kringing method and inverse distance weighting method shows that the single threshold Kinging value method is suitable to the spatial interpolation of regional water and soil under the condition of specific risk.

通过单阈值IK法与普通克立格法、反距离加权平均法的估计效果比较，发现单阈值IK法可用于具有一定风险条件下的区域性土壤水盐空间插值，该法无需处理特异值，可直接进行估计，估值效果明显优于传统反距离加权平均法，对OK法的平滑效应也有一定改进。

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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。