插值问题

For this method, a group of arbitrarily distributed points is used to represent the problem domain, and the background cells are not required. It is a truly meshless method.After that, the implementation of the compactly supported radial point interpolation method is analyzed in detail especially. The flowchart of the theory and the program is presented.

紧接着，本文对紧支径向基函数点插值方法的具体实现过程进行了详细分析，建立了其理论与程序实现的流程图，并用Visual Fortran编制了二维平面弹性静力问题分析的紧支径向基函数点插值方法计算程序。

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。

Here pis 1 or 2.In chapter 8. we extend the Runge-Kutta methods to variable delay differentialalgebraic system. It is proved that if the Runge-Kutta method which is algebraicallystable and diagonally stable is consistent with order p , the extended Runge-Kuttamethod with Lagrange interpolation procedure is D_A-convergence with order M. HereM=min{p, u + q + 1 }, and u + q is the degree of Lagrange interpolation polynomial.

第八章将求解常微分方程的Runge-Kutta方法改造后用于求解变延迟微分代数系统，并且证明如果代数稳定且对角稳定的Runge-Kutta方法对于常微分方程初值问题在经典意义下是p阶相容的，那么具有Lagrange插值过程的该方法是M阶D_A-收敛的，M=min{p，u+q+1}，u+q为Lagrange插值多项式的次数。

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。

For regular topology surface, intermediate surface local texture mapping are used; for irregular topology surface, subdivision surface local texture mapping are used. So different topology surface using different texture mapping methods can solve the contradiction between texture effect and processing speed when they are dealt with by single method. The three judge conditions of texture distortion in the process of mapping onto the sphere surface are discussed and the exiting algorithms of mapping are analyzed, the new algorithms of mapping onto the sphere surface are presented. In order to enhance the realistic of graphics, a new function of wood texture is presented. OpenGL is also introduced in this papers and some realization examples of texture mapping based on OpenGL under the environment of VC++ and POV-RAY are presented in some chapters.

对于简单拓扑表面，利用改进的两步纹理映射，对于复杂拓扑表面利用新的面片分割算法，初步解决了颜色纹理中速度与走样之间的矛盾；通过对球面纹理时纹理不变形的三个判断条件的研究，分析了现在各种球面纹理映射算法，并在此基础上提出了一种基于等面积的半球面纹理映射算法，明显减少了球面纹理的纹理变形；针对现有的木纹纹理中，两种表示木纹的颜色差距表现出的颜色突变问题进行研究，提出对这两种颜色进行线性插值或二次插值，使生成的木纹纹理颜色更加连续，更加逼真；在VC++环境下，通过调用Open GL的图形库及在Pov-Ray软件环境下，实现了参数化纹理、球面纹理、凹凸纹理及木纹纹理等各种算法。

More than 30 kinds of meshfree methods are reviewed in this paper in the light of weighted residual method, and different meshfree methods can be viewed as different forms of weighted residual method and/or with different approximation functions. Various kinds of meshfree approximate schemes are presented in detail, including moving least square approximation, kernel and reproducing kernel approximation, partition of unity approximation, radial basis approximation, radial point interpolation and natural neighbor interpolation.

详尽介绍了各种无网格近似方案(包括移动最小二乘近似、核近似和重构核近似、单位分解近似、径向基函数近似、点插值近似、自然邻接点插值近似等)和无网格法中常用的各类加权余量法(伽辽金格式、配点格式、局部弱形式、加权最小二乘格式和边界积分格式等)，并讨论了数值积分方法和边界条件的处理等问题。

In section one,a kind of rational quartic interpolation function with linear denominator is derived on the base of analysis about the question of rational spline .

第一部分对有理插值样条有关问题进行了分析，并在此基础上构造了一种带参数的分母为线性的四次有理插值样条。

A trilinear interpolation method is used in the embedding scheme for the data communication among subdomains.

通过在等参变换空间上使用三线性插值建立子域与子域之间相互干扰的守恒型插值方法，有效地解决了多块网格间信息传递问题。

For solving the boundary case of 〓 interpolation subdivision given in forth chapter, we give convergence and smoothing conditions and a C〓 continuous four point interpolation scheme using the curve triple subdivision methods from chapter three.

另外本文在第三章给出了曲线三分法细分算法的收敛和光滑条件，并给出了C〓连续的三分法四点插值算法，它解决了我们第四章给出的〓插值算法在边界上会遇到的问题。

Czy and Hirota had proposed a linear interpolative reasoning method, which gave a solution to the problem, so fuzzy interpolative reasoning was born.

H线性插值推理解决了这个问题，从而产生了模糊插值推理方法。

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。