边界值

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。

First, it was to obtain two binary images from segmenting image by two thresholds. Second, erosion, opening and closing were done to the two images according to some knowledge of the shape and location of the objects in the image that we have already known. Last, the edge information from the image segmented by a high threshold was put into the image segmented by a low threshold. It is the way to segment and discern circular objects accurately from the complex image and can greatly improve the accuracy rate of discerning.

首先分别根据两个阈值进行分割得到两幅二值图像，然后根据目标是圆形以及其大致位置等先验知识分别对两幅图进行腐蚀，开启，闭合等数学形态学运算，将高阈值分割得到的图像中的边界信息叠加到低阈值分割得到的图像中，实现对复杂背景图像中圆形物体的准确分割与提取，解决了复杂背景图像中物体识别率低的问题。

According to the matrix presentation of NURBS curve, ordinary interpolating algorithm on cubic NURBS curve is shown.

根据NURBS曲线的矩阵表示，对常用的三次NURBS曲线进行插值计算，可以了解边界条件和型值点的参数化对插值曲线的影响。

Interpolation functions in the point interpolation method have delta function property, which is convenient to implement essential boundary conditions.

点插值方法的插值函数具有 Delta 函数性质，可以很方便的施加本质边界条件，但在计算插值函数时矩阵易出现奇异。

However, its accuracy is not much high in interpolation. On the other hand, interpolation functions in the point interpolation method have delta function property, and it is convenient to apply the essential boundary conditions.

而点插值方法的插值函数具有Delta函数性质，可以很方便的施加本质边界条件，不利之处是在计算插值函数时矩阵易于奇异。

In allusion to Funar Conjecture :"If a random triangle lies in a closed unit square,then its inscribed circle s radius,r≤(5-1)/4",an equivalent minimum problem about a function of 2-variables is studied;the stagnation point and its value,value on the boundary of the function of 2-variables are studied,the equivalent problem is proved correct,so the Funar Conjecture is proved correct.

针对Funar猜想："设任意三角形位于闭单位正方形内，则该三角形的内切圆半径，r≤(5-1)/4"，研究了与其等价的某二元函数的最小值问题；利用对此二元函数驻点及其取值、边界取值讨论，证明了等价问题成立，进而此Funar猜想得证。

Applying a power of 0.5 to the input2 value of the Multiply Divide node calculates the square root of that input1 value, completing the calculation necessary to find the linear distance of any point within the sphere from the center of the sphere.

在Multiply Divide节点里赋予INPUT2数值一个幂值0.5去计算INPUT1值去平方根，完成的计算结果将得到在球上的任何点从球心到该点的线性距离。在图像上右侧上的在球上距离中心的边界点是通过执行下面计算过程来决定值的，它是1

The second part includes the definition of positive definite function and conditional positive definite function, the basic form of Radial Basis Function interpolation, the correctness of the inversion of the interpolation matrix, the error estimate based on Kringing function.

主要包括径向基函数的相关定义，基本的插值形式，插值矩阵的可逆性，以Kringing范数为基础的径向基函数插值的局部误差估计和径向基函数插值边界附近的情况。

It is proved that the method using the BEM to calculate the load distributions on the contact lines of involute gear pair, in which the applied load is taken in the form of a concentrated one at a single node, is not suitable. A method in which the tractions of the BEM are made to imitate the Hertzian pressure of the gear using 8 nodes isoparametric elements is introduced.

本文解决了边界元法在空间啮合副计算中存在的系数矩阵的存储，奇异单元积分的计算、表面不连续点处面力一点多值和求解未知量的线性方程组矩阵元素的计算等问题，编制了比不采用上述处理方法的一般边界单元法节省近一半内存和计算时间的适合空间啮合副的三维边界元法计算程序。

The linear boundary element method make boundary element into linear segment from linear interpolating function.

线性边界元法是在常数边界元法的基础上，从线性插值函数出发将边界单元按线性分布来进行处理的一种数值方法。

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。