边界点

An adaptive grid scheme controlling cell area is used to generated grids in the divergent section of symmetric annular nozzle, and the generated grids are used in the flowfield calculation through the uncoupled way. The elliptic equations are used to generate grids in three dimensional regions of FDN divergent section, the source terms used in the equations employ a mathematical form which is independent of the boundary shape and of the boundary grid point distribution, the free parameters contained in the source terms are determined by the two restraint conditions, the intersection angle of transverse grid lines with boundaries and the local curvature of the transverse grid lines at the boundaries, and the interior grid distribution controlled directly by the grid point distribution assigned on the boundaries is realized, it makes the grid more clustering near the nozzle wall. For the generated grids in the whole computational regions have a good smoothness and orthogonality, the accuracy of calculation in the flowfield is ensured.

对轴对称的环形喷管采用控制网格面积的自适应网格方法对扩散段部分进行了网格生成，并通过非耦合方式应用于喷管的流场计算中；对强制偏流喷管扩散段内的三维区域采用椭圆型方程进行网格生成，方程中的源项采用了与边界形状和边界网格点分布无关的数学形式，源项内的自由参数由横向网格线与边界的交角及横向网格线在边界处的局部曲率两个约束条件来确定，实现了由边界上的网格分布直接控制内部的网格点，使壁面附近具有较密集的网格，并且在整个计算区域内的网格都具有良好的光滑性和正交性，从而保证了流场计算的准确性。

LBIE, based on the local boundary equation, adopts the traditional moving least squares approximation which depends on only the values of the nodes in the domain of the problem or along its boundary. The whole process of integration is carried on over a local domain or its local boundary centered at the node in question. The local boundary equation can be rewritten to represent the values of the unknown function at the point of interest, and the essential boundary conditions can be directly and easily enforced by using the Green formula and the characters of the Dirac function.

它以局部边界积分方程为基础，采用移动最小二乘近似函数，从而只需要分布在问题域内及其边界上的节点的信息值，无需划分单元；整个积分是在以节点为中心的局部域及其边界上实现，所以不需要背景积分网格；借助于格林公式及Dirac函数的性质，将局部边界积分方程转化为所考虑点的未知函数的边界积分表达式，便于直接施加本质边界条件。

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。

From a uncertain point which located outside of the figure to draw radial, according to the junction of radial and polygon to judge the internal and outside relationship; Boundary algebra filling, a vector convert to raster arithmetic which based on integral thought, suit for polygon vector convert which

录拓扑关系的多边形矢量数据转换，方法是由多边形边界上某点开始，顺时针搜索边界线，上行时边界左侧具有相同行坐标的栅格减去某值，下行时边界左侧所有栅格点加上该值，边界搜索完毕之后即完成多边形的转换。关系，并表示成矢量格式边界线的过程。步骤包括：多边形边界提取，即使用高通滤波将栅格图像二值化；边界线追踪，即对每个弧段由一个节点向另一个节点搜索；拓扑关系生成和去处多余点及曲线圆滑。

Vector to raster: Inside point diffuse method, diffuse from internal seeds within polygon to neighbor points, as far as to the boundary of polygon; Pluralism integral arithmetic, according to the close boundary of polygon, makes uncertain point calculate pluralism integral; Radial and scanning arithmetic, from a uncertain point which located outside of the figure to draw radial, according to the junction of radial and polygon to judge the internal and outside relationship; Boundary algebra filling, a vector convert to raster arithmetic which based on integral thought, suit for polygon vector convert which recorded topological relationship.

矢量转栅格：内部点扩散法，即由多边形内部种子点向周围邻点扩散，直至到达各边界为止；复数积分算法，即由待判别点对多边形的封闭边界计算复数积分，来判断两者关系；射线算法和扫描算法，即由图外某点向待判点引射线，通过射线与多边形边界交点数来判断内外关系；边界代数算法，是一种基于积分思想的矢量转栅格算法，适合于记

In this paper, we provide an algorithm to detect the boundary points. Obviously, if a point is a boundary point, then its circumambient points will distribute only on one side or around a corner.

该算法能检测出点云数据的内、外边界特征点，同时对边界上的点进行排序，检测出边界特征点中的过渡点，最后构建点云轮廓的边界多边线。

The former is collocated exclusively on the uncracked boundary, and the latter on one side of the crack surface.

位移边界积分方程的源点配置在非裂纹边界上，面力边界积分方程的源点配置在裂纹面上。

The main results in this paper as follows: First, a prototype of a shape-based image database retrieval system is completed, it can receive the query mode both by giving an example image and by sketching the desired object on the screen, Second, five shape-based image retrieval methods are realized; Third, an algorithm based on triangulation for shape-based image retrieval is brought forward. In this algorithm, firstly, the edge of the original image is followed and the candidate corners in the original image are detected. Then the counterpoints of the candidate corners in the result of edge follow are found, and the boundary corners whose counterpoints have been found are queued in the order of their counterpoints in edge follow. After these steps, the boundary corners are triangulated and triangles are obtained which can show the true shape of the original image. Finally, shape feature is obtained by calculating the angle histogram of the triangles.

同时本文中主要完成了以下三方面的工作：完成了一个基于形状特征的图象检索的原型系统，可实现例子图象或徒手绘草图两种查询方式；实现了五种利用形状特征进行图象检索的具体方法，并对其进行了分析比较；并且在继承将三角剖分引入形状检索的思想基础上提出了利用三角剖分进行形状检索的一种新算法：先对原图象进行边界跟踪和角点检测；然后寻找初始角点在边界跟踪中的对应点，并对找到对应点的角点按其对应点在边界跟踪中的顺序进行排序；再对排序后的角点进行德洛内三角剖分，得到能表示目标真实形状的三角形序列；最后计算三角形序列的角度直方图作为形状特征，并进行相似性匹配。

Because manual seed points are not exactly located on the crack features, two methods are proposed to search the geometric crack features, such as crotches. Wavelet transformation, clumpping, thinning and crossing algorithm are processed sequentialy to reach the semi-automatic feature extraciton purpose. Depending on these seed points, crack tracks and edges are determined by the method in this paper. Local image registration is utilized to raise relative accuracy and acquire the expansion of concrete cracks.

由於人工种子点并非准确落在特徵点，因此在种子点座落区域取目标视窗，使用基底函数转换边界侦测、区域增长消除杂讯区块、裂缝区块骨骼细化，接著寻找裂缝交叉点及端点，准确寻找出种子点应座落的位置，以此位置匹配后时期裂缝影像种子点，续以侦测前后时期裂缝边界，利用局部套合求得高相对精度，求得裂缝成长的情况。

BEM formulae for interface crack analysis of thermal barrier coated structures are given in this paper.

利用它可以计算出涂层构件各层边界点的温度及温度梯度。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新