几何结构

During the Voronoi tessellation on a planar point set composed of massive points, a technical scheme of dynamic data-exchange between hard disk data file and internal memory structural array designed so, that the limitation of computer internal memory storage need not be considered and the construction of massive Voronoi cells as many as hundreds thousant in number was effectively implemented.

在对"海量"点组成的平面点集进行Voronoi划分时，设计"硬盘数据文件－内存结构体数组"之间动态的数据交互方案，避开计算机内存的限制，有效实现了数十万Voronoi晶胞集合体的构造，存储Voronoi图几何信息的数据最后以文本文件的形式输出，方便Voronoi图在工程实际中的应用与二次开发。

In the second part, we developed a new approach for the preparation of highly dispersed carbon black platinum nanoparticle with different geometric shapes by introducing clay (0 to 33%) as a dispersing agent in 5% Nafion co-solvent suspension without any organic solvents. FE-SEM analysis of CB/clay (100/0, 85/15, 67/33) was achieved CB particles with an average diameter of 40-60 nm. The hydrophilic property of the hybrid material was effectively improved in the presence of the clay was observed in sessile-drop test.

第二部分中我们发现在燃料电池之触媒制备常利用碳黑作为载体，碳黑在水中分散程度不一，而有机分散剂之电阻质较高常导致触媒用量提高增加成本，在本论文中我们利用几何片状结构的黏粒矿物与Nafion溶液做为分散剂巧妙的将碳黑分散，在不同黏土矿物与碳黑之不同比例(clay/CB 0/100， 15/85， 33/67)下进行分散，在SEM及TEM鉴定下证明其分散程度而碳黑粒径约40-60 nm。

By using the Li e group theory of differential geometry and Pontryagin's maximum principle, it is pointed out that the mobile CRS robot on surface is controllable, and the nec essary conditions and the structure equations of extremal trajectories are propo sed.

为了解决曲面上移动CRS机器人的路径规划问题，在曲面上建立了机器人的动态模型，利用微分几何的李群理论和庞特里亚金最大值原理，证明了曲面上CRS机器人是可控的，并给出了机器人的最小时间控制的必要条件和结构方程。

Point cloud models using discrete points as primitive element have many advantages such as data simple structure, compact space, and ability to express complicated surface in detail. However point cloud models usually can not be used directly.

点云模型以离散采样点为基元的几何模型，具有数据结构简单、存储空间紧凑，能够表达任意复杂表面细节，是造型所有表达方式中最自由的一种。

In the light of all kinds of structural faces and their assembles along tunnel, the place and growth depth of instable cuneiform body in tunnel wall rock could be predicted, then its volume and weight of instable cuneiform body are estimated based on the equator plane projecting method and the solid body ratio geometry method, which offers reliable geologic data for designing corresponding supporting measure.

摘要利用赤平投影法和实体比例几何法分析隧洞围岩稳定性，根据隧洞沿线所遇结构面相互组合形式，预测隧洞围岩不稳定楔形体的位置及其发育深度，从而估算不稳定楔形岩块的体积和重量，为设计相应的支护措施提供可靠的地质依据。

In the following sections, we present the algorithms and the principles of projective geometry exploited, for the three stages of: camera calibration, 3d shape and structure metric reconstruction and texture acquisition.

在以下部分，我们提出为三个阶段和射影几何的原则利用的，算法：照相机定标、3d形状和结构公尺重建和纹理承购。

The model of the received power is established based on the basic principles of geometry optics and radiometry. This model provides the principle of receiver-transmitter design and performance evaluation. On the basis of the received power model and APD noise model, the response of measurement signal after passed through the frequency difference circuit and the corresponding change of its SNR are studied.

研究了非合作目标测距时，发射视场与接收视场的重叠情况，以及视场重叠区域内光的探测情况，并以此为基础，根据几何光学和光度学的基本理论，建立了非合作目标测距中接收光功率的数学模型，为接收/发射器的结构设计，以及测距性能的预测提供了理论依据。

On the basis of total analysis and summarization on basic knowledge, principle and expert experience of injection mould feed system as well as further research on the computer-aided design of injection mould feed system, according to the geometrical model of the plastic, applying technologies including feature-based modeling and identifying, RBR, CBR, oriented-object and database technology VC++ 6.0, SQL Server 2000, Object ARX, the paper conceives general structure and primary function module of the intelligent design of injection mould feed system, develops user-systemic interface, constructs knowledge rule library and case library of injection mould feed system, researches denotative method of knowledge rule library and case library, designs the ratiocinative mechanism of intelligent system design, and realize the intelligent design of injection mould feed system partly.

本文在对注塑模具浇注系统设计的基本知识与原则及专家经验全面分析总结，以及对计算机辅助浇注系统设计方法深入研究的基础上，以塑件几何模型为依据，应用基于特征的建模与识别技术、RBR和CBR推理技术、面向对象和数据库技术，以及VC++6.0、SOL Server 2000和Object ARX二次开发工具，在AutoCAD 2002平台上，构建了注塑模具浇注系统智能化设计系统的总体结构及主要功能模块，开发了系统的用户界面，建立了浇注系统设计的知识与规则库和事例库，研究了设计知识与规则和事例的表示方法，设计了智能化设计系统的推理机制，部分实现了注塑模具浇注系统的智能化设计。

The general diffusion process can be obtained as a limiting case, so that we have a unified framework in understanding existing models in option pricing theory, including the geometric Brownian Motion, the model of Constant Elasticity of Varianc, the Residual Volatility and term structure of interest rates. Our model is capable of demonstrating volatility smile and stable relative deviation from real data.

我们建立的一般框架可以统一理解目前已经熟知的几何布朗运动、广义方差常弹性、残余波动率、利率的期限结构等理论模型，也能描写观察到的波动率微笑和稳定的相对偏差。

The scan line method is one of the most commonly used methods in rock joints survey.

测线法是野外采集结构面几何特征参数的常用方法之一。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。