平面三角

In the roof reconstruction, a TIN-based region growing is applied to extract the roof planes. The coplanarity and adjacency between triangles are considered for TIN-based region growing. Then, a least squares regression is selected to determine the coplanarity function of planar segment.

在建物屋顶面重建中，使用建物轮廓线内部的光达点云进行屋顶面之共面分析，研究中使用三角网区域成长法侦测共平面之屋顶面，以相邻三角网法向量夹角做为共平面门槛，并以最小二乘法回归出屋顶面之平面，产生房屋模型。

2 V-belt adjustment 4.2.1 pulley in the center of the two vertical force F imposed on the Triangle Two V-Pulley plane dislocation Two pulley axis angle is not parallel Adjustment method according to the above adjustment, the operation a few days, using the same method again adjust.

4.2 三角带的调整 4.2.1 在两带轮的中心位置垂直于三角带施加力F 两V型带轮平面错位两个皮带轮轴线不平行夹角为按上述调整方法调整后，运转数日，用同样的方法再次调整。

By the algorithm, the surfaces are first divided into a series of mapping areas and synthesis areas using the constraints of the triangles' normal and texture attributes. Then the mapping areas are textured by harmonic mapping from the 2D mapping sample, by a patch-based synthesis method. Finally, the synthesis areas are textured by a triangle-based synthesis method.

首先以三角形法向量、切向矢量与纹理尺度为约束，将三角网格曲面分割为一系列映射区与合成区；然后用基于块的平面纹理合成方法生成大面积样图，用调和映射方法对映射区进行纹理映射；最后采用基于三角块的合成方法生成合成区纹理。

The overcutting on tool end is checked via comparing the tool radius with the circumradius or the radius of inscribed circle, and the touch interference of tool body based on the symbol of the vector distance from the triangle vertex to the tangent plane of tool body column.

在曲面加工的无干涉路径规划中，通过恰当选择刀具初始位置避免了接触点处的曲率干涉；通过比较刀具半径与曲面上三角片外接园半径的大小即可判断刀具底面干涉；而根据三角片顶点与刀杆切平面的有向距离的正负来判断刀杆碰撞干涉。

Parameterizing a 3D mesh means finding an isomorphic mapping between a discrete surface patch and a planar mesh.

三角网格的参数化是指从空间三角网格到参数区域的一个同构映射，参数区域的选择可以是平面区域、球面等。

Give a projecting plane,sign volume of pentahedron for each triangle in mesh,which is constructed by the triangle and it projection in projecting plane,is computed.Volume of the mesh is algebraic sum of all pentahedrons' signed volume.Triangles will be partition into several smaller triangles when necessary.

该方法通过指定投影平面，计算每个三角面片及其在投影平面上的投影所围成的凸五面体的带符号体积（必要时对三角面片进行细分），整个模型的体积为所有凸五面体带符号体积的代数和。

First, based on the criterion of Delaunay triangulation for the plane scattered points set, the article proposes the general triangulation for arbitrary scattered points in plane domain.

基于平面区域内散乱点的Delaunay三角剖分准则，本文提出一种适用于平面区域内任意散乱点的通用三角化算法。

The definition of Halton points is introduced and the algorithm complexity is analyzed, then the sampling strategy of triangle plane is introduced, including geometry region partitioning, coordinate mapping between triangle plane and rectangle plane, and computing principle to the coordinates of sampling point. The experiment results compared with Jittered sampling and improved LHS sampling are given.

给出了Halton点的定义，分析了其算法复杂度，在此基础上给出了三角平面的采样策略，包括几何区域的划分、三角平面与矩形平面的坐标映射、采样点坐标计算原理；并将该方法与Jittered采样法、改进的LHS采样法进行了比较。

A polyhedron whose vertices all lie in one or the other of two parallel planes; the faces that lie in those planes are the bases of the prismatoid.

顶点都在一个平面或两个平行的平面上的多面体；位于那些平面上的面是旁面三角台的底部。

Determination of the horizontal angle of the triangle vertices and, based on the starting side length, azimuth, the starting point coordinates using the sine law to inquire the location of the vertex plane triangulation measurement method is called, the control points, known as the triangle point, this control network known as triangulation.

测定各三角形顶点的水平角，并根据起始边长、方位角、起始点坐标利用正弦定律来推求各顶点平面位置的测量方法称为三角测量，这种控制点称为三角点，此控制网称为三角网。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。