多维几何

On the basis of OCM, segmentation based on curvature radium is presented in the paper, in which curvature radium is calculated using parametric-surface fitting, and detecting edge points is realized from orthogonal direction, which ensure the integrality of edge points. Since the data is organized by cross-line in OCM, a new arithmetic, Double-direction Angle Difference arithmetic, is brought forward, which can pick up edge points more quickly.

物体的表面一般由多个曲面相交组成，要建立完整的几何模型，需要对测量数据进行区域分割——区分不同曲面的数据，现有的区域分割大多是对单视图的图像式测量数据进行的，但完整的CAD模型需要联合多个视图产生，本文在上面提出的三维正交模型的基础上，提出了三种区域分割方法：第一种方法是基于曲率半径的数据分区方法，通过二次参数曲面拟合计算局部曲率半径，从正交的多个方向进行检测，保证了边点提取的完整性。

In this article both stereo vision and line2laser scan sensor are integrated to CMM,according to this measuring system the bound2 aries or outlines of object are obtained by stereo vision and the ostensible data of object are achieved by line2laser scan sensor. Information fusion of multi2sensor can be utilized to segment 3D data、to abstract the geometry characteristic of the object、to construct the object modeling.

将立体视觉和线激光扫描传感器集成到三坐标测量机下，由立体视觉来获得物体的边界或轮廓信息、线激光扫描传感器获得物体表面的三维数据，利用多传感器的信息融合技术对三维数据进行分割，提取被测物体的几何特征，并在此基础上构建物体模型。

A new method for the generation of curvilinear grid has been proposed. Some curvilinear grid generation examples show that satisfactory grids can be generated for simple-connected regions and connected- regions with complex boundary by using the proposed adjusting factors.

3提出了一种生成边界处正交曲线网格的新方法，收敛速度快，在复杂边界流场区域的数值计算中，有很大的实用价值；为了克服复杂几何边界给数值计算带来的困难，提高通用性以及水流的预测精度，本文采用上述网格生成技术，在直角坐标系三维非恒定明渠紊流的沿层积分数值模型基础上，发展了曲线坐标系下的多层紊流水动力模型。

Once more, applys three-dimensional CAD software Pro/Engineer establishing the geometry models of all kinds of parts in the crank link mechanism, then useing the Pro/E software assembling function assembles the components of crank link into the piston module, the connecting rod module and the crank module, then using Pro/E software mechanism analysis module (Pro/Mechanism), establishes the multi-rigid dynamics model of the crank link, and carries on the kinematics analysis and the dynamics analysis simulation, and it studies the piston and the connecting rod movement rule as well as crank link motion gear movement envelopment. The analysis of simulation results shows that those simulation results are meet to true working state of engine.

再次，应用三维CAD软件：Pro/Engineer建立了曲柄连杆机构各零部件的几何模型，在此工作的基础上，利用Pro/E软件的装配功能，将曲柄连杆机构的各组成零件装配成活塞组件、连杆组件和曲轴组件，然后利用Pro/E软件的机构分析模块(Pro/Mechanism)，建立曲柄连杆机构的多刚体动力学模型，进行运动学分析和动力学分析模拟，研究了在不考虑外力作用并使曲轴保持匀速转动的情况下，活塞和连杆的运动规律以及曲柄连杆机构的运动包络。

A numerical method for solution of multigroup neutron integral transport equation in two-dimensional hexagonal geometry has been s...

本文首先研究了在二维六角形几何情况下，多群中子积分输运方程的数值解法，建立了完整的理论模型及数值方法。

A numerical method for solution of multigroup neutron integral transport equation in two-dimensional hexagonal geometry has been studied in the first part of the dissertation.

本文首先研究了在二维六角形几何情况下，多群中子积分输运方程的数值解法，建立了完整的理论模型及数值方法。

A new flux expansion nodal method was developed to solve three-dimensional multigroup neutron diffusion equations in hexagonal-z geometry. The method expands the intranodal homogeneous flux distributions in analytic basis functions for each energy group.

提出了一种在三维六角形几何节块内数值求解多群中子扩散方程的节块法，该方法把节块内各群中子通量分布用解析基函数近似展开。

A notable merit of parallel coordinates is its well-founded mathematical foundation.Its projective geometrical interpretation and duality properties facilitate the simultaneous projection information representation of multiple low dimension subspaces.

平行坐标的一个显著优点是其具有良好的数学基础，其射影几何解释和对偶特性使它可以很好地同时表达高维数据在多个低维子空间的投影信息。

Each relevant experiment proved the table of genetic codes has its own permutable pattern from chemical reactants to products , instead of the descriptions in the table of genetic codes .

&密码子的氨基酸意义&破译实验中，将反应物多个不同类核苷酸分子共聚体的空间几何形象描述为密码表中三个字母的直线上单向排列，造成用一维空间刚量描述r维空间向量的数学描述错误。

This paper introduces the software structure and real time process principle of real time NC system, according to the milling process character of NC system and the geometrical modeling method of computer simulation, presents a technique of subdividing roughcasts and data structures which applies to the computer simulation of the NC milling process; and in order to quicken the operating rate and enhance the reality of computer simulation, puts forward a logic algorithm of the 3D milling process of real time NC system which can display the effects of the computer simulation of 3D milling process of real time NC system dynamicly and efficiently in PC, such as the movement of tools, the elimination of materials, the shape changing of roughcasts.

刘景能，蒙艳玫（广西大学，530004）摘要：本文介绍了实时数控系统软件结构与实时工作原理，根据数控系统铣削加工的特点和计算机仿真几何建模方法，给出了适用于数控铣削加工仿真的毛坯离散细分方法和数据结构；为了加快处理速度和增强仿真效果真实感，提出了一种实时数控系统三维加工仿真的逻辑设计算法，即在单CPU机器单线程程序中使用普通软件循环和定时器模拟实现多线程，该算法可以在微机上动态显示高质量的铣削加工过程刀具的运动，材料的去除和毛坯形状的变化等数控加工三维仿真效果。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。