查询词典 triangulation point

In chapter 4, an optimization Boolean operator of triangular mesh and the algorithm of adding point-swapping edge locally are put forward. With boundary traced by adding midpoint, the triangulation of 2D arbitrary domain is realized. The fast searching method which combines the index rectangle with compass based normal vector is designed to speed the triangulation algorithm.

第四章提出了一种优化的三角网格布尔运算和逐点加入—局部换边法，用中点加点法恢复边界，实现了二维任意域Delaunay三角化算法，用索引矩形和基于法矢的指南针法相结合的快速查询法有效地提高了三角化算法的速度，给出了二维任意域三角网格剖分的实例。

Meanwhile, the method supports the constraint edge to be in mesh without additional point to be inserted. fast triangulation, optimization, constraint triangulation, grid, data structure,algorithm

CT是一个更具有一般性的问题，并在许多领域中有实际意义（如在有限元剖分中模型的边界、裂纹、不同材料的接合处等，在数字地面模型——DTM中的山脊线、山谷线、河流、湖泊等特征线

The existing points and lines would form a closed geometric shape. If we put the new point Z outside the closed geometric shape at first and later then found that the point Z has neighboring relationship with the existing point A which is inside the closed geometric shape, we could not link point Z and A directly because that would bring line crossing. If we rearrange the point Z into the closed geometric shape, that also would cause a lot of work to do. With the help of Exclave, all problems could be solved easily. We use point X outside the closed geometric shape as the Exclave of the point A. Then the line between point Z and X could demonstrate the neighboring relationship of the point Z and A.

原有的各点和相邻线段往往会形成一个封闭的几何图形，如果我们把新增点 Z 设在原有的封闭几何图形外部，后来又发现该点 Z 和位于封闭几何图形内部的点 A 存在相邻关系，这时不能直接将两点连接因为那将产生交叉，而如果将点 Z 重新设在封闭图形内部也将导致大量的调整工作；此时借助外飞地的概念，可以轻松地解决上述问题，即在封闭几何图形外部设置点 X 作为点 A 的外飞地，两点使用同样的颜色，用点 Z 和点 X 的相邻线段表示点 Z 和点 A 之间的相邻关系。

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To the late 50s entered the computer photogrammetry, photogrammetry research areas has been greatly extended: If the analytical method aerial triangulation, on-line aerial triangulation, local area network adjustment, gross error detection theory, orthographic correction

到50年代末计算机开始进入摄影测量，摄影测量的研究领域得到了很大的扩展：如解析法空中三角测量、在线空中三角测量、区域网平差、粗差检测理论、正射纠正

In this paper, firstly, the embeddability of near-triangular graphs on the orientable surface is studied. By using Petersen's Theorem about 1-factor, we first prove that for a near-triangulation on the orientable surface, its geometry dual graph has a 1-factor; then after a procedure of operation leaded by the 1-factor, we show that if a graph G triangulates some orientable surface S_g, then G has a near-triangular embedding in S_h for h = g,g + 1,...,β(G/2」, where β is the Betti number of G. Hence we obtain a conclusion: A near-triangulation of the orientable surface is upper-embeddable. As a generalization, a class of near-quadrangulation is studied, and similar results are obtained.

本文首先研究了近三角剖分图的可定向曲面嵌入性质，通过运用Petersen关于1-因子的定理，首先证明了对于可定向曲面上的三角剖分图，其几何对偶图具有1-因子；然后在1-因子的导向下，通过做一系列增加亏格的手术，证明了如果一个图G三角剖分可定向曲面S_g，那么G可以近三角剖分可定向曲面S_h，这里h=g，g+1，…，「β(G／2」，β是指图G的Betti数，从而得出推论：可定向曲面上的三角剖分图是上可嵌入的，作为推广，又研究了一类近四角剖分图的可定向曲面嵌入性质，并得到类似的结论。

Triangulation over a convex 2-D domain is implemented by advancing front technique and circumcircle optimizing method, while the triangulation over an arbitrary 2-D domain needs more restriction of the visibility between points.

对于边界已知的平面区域的三角剖分，按照网格前沿方法和外接圆优化准则实现凸边界的平面区域Delaunay剖分，而对于凹边界区域的三角剖分，需增加可见性判断准则，实现对其的三角剖分。

Speckle is also the fundamental uncertainty factor in this kind of sensors. The analytic expression of centroid uncertainty limit is derived from the statistic of laser speckle, and it is shown that the uncertainty limit in RST, and also in anamorphic triangulation, is dependent on the solid angle subtended by entrance pupil as seen from the illuminated laser spot, the triangulation angle, as well as the laser wavelength. The influence of aberration of optical system and surface roughness are also discussed.(4) A method of getting the 3D edge characters based on the integrated vision system is studied.

重点研究了RST中的激光散斑现象，从散斑统计学的角度，首次推导了激光散斑引起的旋转对称三角法位移测量不确定度的极限，结果表明在光学粗糙表面上，该极限由投射激光波长，光学系统入瞳对投射光斑所张的立体角，以及光学系统主光轴与旋转轴的夹角确定；这一结论同样适用于其他变形成像的激光三角法。4基于RST的工作方式，研究了利用集成视觉系统的扫描移动来获得被测物体的低分辨率三维信息的方法。

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面，一阶导数连续的要求较强，我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件，讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法，一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

This paper presents a novel triangulation algorithm based on the normal information of the surface and the Delaunay triangulation algorithm.

借助于曲面上的法矢信息和三维Delaunay三角剖分算法，该文给出了一种新的散乱点三角剖分算法。

Must have Coordination and negotiation skill, flexible ideas, and be punctilious person.

必须具备较好的协调与谈判能力，头脑灵活，工作认真仔细

Result: 18 patients are all with simple eye.The pigment mole lies in nasal and temple sides of the ball conjunctiva,in which 2 lie in lacrimal caruncle and semilunar plica.

结果：18例患者均为单眼，色素痣大多数位于内外侧睑裂部球结膜面，2例位于泪阜及半月皱襞，经激光治疗后，10例色素痣消失，有5例行再次激光后消失，2例行第三次激光后消失，1例第四次激光后消失。