插值法

By remove the outer corner, it can get the best transformation matrix. Finally, the thesis use backward mapping and bilinear interpolation function to execute interpolation calculation in image merge. And then it use overlapped area linear transition method to build a seamless integrated image.

最后通过使用后向映射和双线性插值法在图像合并过程中进行插值运算，并使用重叠区域线性过渡算法来消除图像拼接缝，实现图像之间的无缝拼接。

Three order spline interpolation is applied to simulating sucker rod string axis. The problem of discontinuous interpolation caused by azimuth angle periodicity is solved.

应用三次样条插值法对抽油杆柱轴线进行模拟，发现并解决了现有方法中由于方位角周期性而引起的插值不连续问题。

This paper integrated the experts' judgments with grids as the sampling strategy in an abandoned pesticide plant in northern China, and applied a geostatistical method, inverse distance weighted interpolation, to simulate the pollutants- and risk spatial distribution.

本文以北方某废弃农药厂为例，结合专家判定采样法与网格采样法，采用地统计学方法中的反距离加权空间插值法，分两种情形将大于土壤环境基准值的区域划定为治理范围。

Leastsquare method and Lagrange's interpolation formula see their applicationsfor fitting fore-and-aft lines-whose aim is to calculate the intersection point ofequivalent inclined waterline-and differences. In order to replace theinconvenient alternate conduct of drawing and calculating, improvement hasbeen introduced into the paper which means all work can be done bycomputer. Capacity calculation cannot be done without boundary layer build-up. Fit every area curve and area moment curve is necessary because ofinterpolation.

在第二章中，给出了B样条函数的数学表达形式，推导了B样条曲线下所围面积、面积矩公式；讨论了最小二乘法和拉格朗日插值法的数学形式，并在拟合船体型线上给出首、尾轮廓线的具体实例，对比不同方法进行拟合的差异，其目的是为了求得与等体积倾斜水线的交点；而水线的确定改变了以往人工作图与计算交替进行的不足，尝试用计算机完全代替人工作图，以求有所改进；在舱容计算中，在至少包括舱室前、后壁的范围内拟合横剖面积、面积矩曲线，插值求得任一纵向位置处的剖面，以解决舱室边界条件。

Then, on the basis of Atluri's work, a modified MLPG method is employed, in which the moving least squares approximation is used as a trial function and the Heaviside function is used as a test function of the weighted residual method.

然后基于Atluri等人的工作，采用移动最小二乘近似函数构造试函数，采用Heaviside函数作为加权残值法中的权函数，采用直接插值法施加本质边界条件而不采用罚函数法和拉格朗日乘子法。

In this study adopting the inverse distance weighted to deal with the rain gauge by interpolation, obtaining the rain capacity in every quarter in Minjiang watershed. Kriging interpolation was employed to get the spatial date base of temperature factor and the overall precision reached 95% by external module examination.

2本研究以反距离权重插值法对降雨线的进行内插处理，获取闽江流域各季度的降雨量，温度因子栅格空间数据库采用泛克里格插值获得，经模外检验精度较高，总体精度都达到95％以上。

Ritz variation method was used to find the numerical relation between the energy near the ground-state of the hydrogen molecular ion H 2 + and the changes of the variation parameter and the bond length,the computation formula of bond length and ground-state energy for H 2 + was also obtained by means of the method of parabolic interpolation .

用Ritz变分法求出了氢分子离子H2 +基态能量附近的能量随变分参数和分子键长变化的数值关系，并用抛物线插值法获得了H2 +键长和基态能量的值及其计算公式，比文献 [1，2 ]更接近于实验值。

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

Having analysed the localization of several typical methods for traveltime computation(finite difference method,linear interpolation method and so on) in briefly,authors put forward a method for traveltime computation based on nonlinear interpolation ,and deduced its calculation formula.

在简要分析目前最典型的几种地震波旅行时计算方法(如有限差分法、线性插值法等)局限性的基础上，提出了一种基于非线性插值的地震波旅行时计算方法，并推导了其计算公式。

To demodulate the OFDM signals accurately, channel estimation algorithms are adopted. This paper examines the slow-fading estimation algorithms based on block pilot arrangement: LS and LMMSE algorithms, as well as the fast-fading channel estimation algorithms based on comb-type pilot arrangement: linear and transform domain interpolation algorithms.

本文分析了导频分布的两种方案：1块状导频分布，对基于块状导频分布方案的慢衰落信道估计算法：最小平方和线性最小均方误差算法进行了计算机仿真，比较了二者的估计性能，以及各自的优缺点；2梳状导频分布，对基于这种分布方案的快衰落信道估计算法进行了研究，对两类经典算法：线性插值法和基于变换域的插值法分别进行了理论分析和计算机仿真。

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。