三角点

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。

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。

Firstly, quadric surface is approximated with the vertex and its neighboring vertexes of the triangle mesh model, and the first and the second basic quantity are calculated, then estimating the normal and curvature of the mesh vertexes, lastly OpenGL technique is used in realizing the graphics display of the triangle mesh model.

首先根据三角网格模型中的顶点及其邻接点逼近二次曲面，并计算其第一、第二基本量，然后据此估算网格顶点的法失和曲率，最后利用OpenGL技术实现三角网格模型法矢和曲率的显示。

Basing on the concepts and algorithms, some traditional algorithms, e.g. Delaunay triangulation for planar polygonal domain, constrained Delaunay triangulation for planar points and Delaunay tetrahedralization for spatial points, are improved.

通过上述概念和算法，改进了多边形Delaunay三角剖分、平面散乱点集约束Delaunay三角剖分和空间散乱点集Delaunay四面体剖分等基于生长算法的传统数据生成方法。

At last the dissertation presented the algorithm of feature surface recognition based on quadric surface fitting and geometry property.

其次研究了数据的区域分割，并提出了一种基于三角网格的分割算法：通过计算三角网格点几何特征以及已经得到的特征线来识别边界特征，运用区域增长算法对三角网格进行分割。

Because the triangle mesh was widely used in industry and computer graphics systems,a computation method for offset curve on triangle meshes was proposed,where the curve on the triangle mesh was defined by a sequence of points with every point lying on the mesh.

鉴于三角网格在图形系统和工业界广为使用，提出了一种三角网格上曲线等距线的计算方法，其曲线表示为位于三角网格的点序列连接而成的空间折线。

Data pre-processing technologies such as singular points elimination, registration and radius compensation are studied. Base on chord high difference algorithm, a new one called chord high difference-ratio algorithm is proposed to improve veracity and robusticity of singular points elimination. Then, a registration algorithm based on local surface reconstruction is proposed, which avoids infaust influence coming from single reference point error.

在弦高差法的基础上，提出了全新的弦高差—比法，提高了异常点剔除的准确性和柔韧性；提出了一种基于局部图形重构的重定位方法，该方法通过对特征球的最小二乘拟合，消除了单一参考点的精度对重定位的影响；在此基础上对重定位的误差进行了详细的分析，给出了精确的误差值，从数学的角度保证了重定位的精度；在三角网格法的基础上提出了基于Delaunay三角剖分的半径补偿新方法，有效改善了补偿矢量的计算效率和准确性。

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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。