geometry topology

The foundation of geometry topology relation between points each other and being many redundancy data are two great difficulties in the process of reconstruction of scattered data .

散乱数据重建存在点与点之间几何拓扑关系建立困难和存在大量冗余数据两大难点。

The specific solutions for road network geometry topology information creation , code topology information creation , resources and services essential , as well as the traffic signs are proposed .

提出道路网几何拓扑信息、法规拓扑信息的生成、资源与服务要素以及交通标志的挂接等问题的具体解决方法。

At present both our country and abroad countries ' research of cable-strut tensile structure mostly concentrate on geometry topology , prestress equilibrate state analysis , geometrical stability determinant , load state analysis , construction process track , text study , and so on .

目前国内外对于索杆张力结构的研究主要集中在几何拓扑、预应力平衡态分析、几何稳定性判定、荷载态分析及施工过程跟踪、试验研究等方面。

Based on the characteristic of the difficulty of geometry topology relation being established and being many redundancy data in the triangulation of scattered data , the method of direct slicing of scattered data is researched , which aims to predigest the establishing process of geometry topology relation .

针对散乱数据三角剖分中，几何拓扑关系难建立和存在大量冗余数据的特点，研究了散乱数据直接分层方法，简化了几何拓扑关系的建立过程。

The effect of geometry and topology of the network model on sorption hysteresis was studied in particular .

着重考察了多孔介质网络模型的几何性质和拓扑性质对吸着等温回路的影响。

Algebraic Topology ; Symplectic Geometry and Topology ; Ordinary and Partial Differential Equations .

代数拓扑；辛几何与拓扑；常微分和偏微分方程。

Ductile damage geometry - topology model has unified form and can be extended to discuss more complex defects .

韧性损伤几何-拓扑模型有统一的形式，且可以不断延伸进而解决更复杂的非线性问题。

Firstly , geometry and topology information of CAD model is obtained from CAD system 's STEP AP203 interface .

利用CAD软件的STEPAP203数据转换接口，获得CAD模型的几何拓扑信息；

Experiments show that our algorithm is fast and stable , and can process various 3D models with arbitrary geometry and topology .

实验表明，算法程序运行稳定、快速，可用于提取具有任意几何和拓扑复杂性的各类实体模型的体积分布特征。

The axis skeleton , the information of geometry and topology of skeleton point were got after preprocessing of model .

首先，对经过预处理的模型进行骨架提取，并记录每个骨架点相应的几何和拓扑结构信息；

Analyzing geometry and topology features of Primitive regions , we can get the intersection regions which imply adjacency among them .

通过分析单义域几何与拓扑特征确定交点域。

Experiments show that our method can run robustly and quickly even on personal computer , and can process models with arbitrary geometry and topology .

实验表明，相应的计算程序运行稳定、快速，可以处理具有任意几何和拓扑复杂性的实体模型。

Re-display of the solid by OpenGL using the solid 's geometry and topology information extracted from SDAI .

采用OpenGL技术按照提取的实体信息对实体进行重现。

The product attribute and behavior information in virtual assembly is stored in a hierarchy of product , feature , geometry & topology and display levels .

提出了将虚拟装配中的产品属性与行为信息分为产品层、特征层、几何拓扑层以及显示层。

Math morphology , based on stochastic set theory , integral geometry , topology and modern algebra , is a subject for digital image processing and recognition .

数学形态学是以随机集论、积分几何、拓扑学、近代代数为基础的用于数字图像处理和识别的学科。

An integrated information model of a product should include not only the information of the product 's geometry and topology , but also its machining process information of manufacture oriented .

一个完整的产品信息模型，不仅应具备产品的几何、拓扑信息，而且还应具备面向制造的加工和工艺信息。

The optimal design of whole structure of electrostic precipitator is a adjustable optimal problem of geometry and topology , which has larger scale and many design variables .

电除尘器本体结构优化设计是一个规模大，设计变量数多而具有相当难度的几何可调和拓扑可调优化设计问题。

3D skull hole repairing is to use 3D computer graphic technology to repair the hole of skull according to the geometry and topology information of the skull model .

三维颅骨孔洞修补是一个崭新的研究课题，它是根据颅骨模型原有的几何和拓扑信息，借助计算机技术修复颅骨破洞的虚拟3D技术。

Currently , the road network based on two-dimensional road centerline has generally existed , however , its geometry and topology expression can not meet the need of complex transportation system .

目前，基于路段中心线的二维道路网络模型已经普遍存在，但其在几何特征及拓扑关系表达等方面都难以满足复杂交通系统的需求。

The geometry and topology information of every surface is mapped and extracted to 2D parametric space when model is imported and reconstructed according to the data from STEP files .

基于STEP文件格式的模型的导入和重建，将模型的每个表面映射至参数空间，利用推进波前法生成参数面网格，然后映射回三维表面。

The second chapter points that GML is a application of XML in geography , which can describe geography including features , coordinate reference systems , geometry , topology , etc.

第二章叙述XML技术及其在地理上的应用，GML可表达描述地理信息，SVG为可视化GML提供了方便。

On the other hand , known point cloud data , to achieve surface reconstruction , which involves computational geometry , topology , and computer graphics , and other fields of knowledge .

在已知点云数据的情况下，实现表面重建，涉及到计算几何、拓扑学、以及计算机图形学等多领域的知识。

As the geometry and topology of them are sensitive to structural performance , research on their structural system and configurations appears very important , which had been widely concerned by scholars at home and abroad .

由于其几何构型对结构性能的敏感性，形态与体系的研究对于动不定结构而言显得更为重要，也一直是国内外学者共同关注的焦点。

But there are only basic info of geometry , topology and partial kinematics in the CAD model in STEP . The description on feature of multi-rigid-body dynamics is hardly blank .

使用现有的产品数据表达与交换标准STEP只能描述CAD模型几何、拓扑和部分运动学信息，对多刚体动力学特征的描述一直是特征模型中的一个空白。

In this paper , the existence of a global tangent frame on every oriented and connected smooth 3-manifold will be used to develop a global frame method in 3-dimensional geometry and topology .

本文利用可定向3-流形切丛的平凡性，在3维几何上建立了一种整体标架法。

A hierarchy representation model ( HRM ) based on boundary representation ( B-rep ) is presented for collaborative design . Reconstruct the geometry , topology and feature of traditional CAD product data model based on HRM .

提出一种面向协同设计的基于边界表达的层次表达模型，利用该模型对传统CAD产品数据模型的几何、拓扑、特征进行重组。

In this paper the following key issues were researched and solved : 1 . Aim at solving the topological structure difference between the two CAD systems , the separation method between the geometry and topology were adopted in this paper .

在研究工作中，本文解决了以下几点关键问题：1、针对不同CAD系统的拓扑异构问题，本文采用几何拓扑分离的方法。

By getting the data directly from the database of directly inputing information of geometry and topology of crystal shape , the figure can be displayed on the moniter of computer or draw by plotter .

通过对晶体形态数据库的调用，或直接输入晶体形态测量的几何、拓扑信息，计算机就可在显示器上或绘图仪上输出图形。

In 1945 MacLane and Eilenberg introduced the concept and theories of categories , which have played a role in many branches of mathematics such as algebraic geometry , topology , differential geometry and functional theories .

自从1945年MacLane与Eilenberg提出范畴的概念和理论以来，它在数学的许多分支，例如代数几何学、拓扑学、微分几何学以及函数理论中均已有所应用。

The technique of models ' similarity assessment is critical to several stages of products ' development . The tri-level architecture similarity assessment method , which combined assessment method based on geometry / topology with assessment method based on features , is brought forward .

模型相似性评价是多个产品开发阶段的关键支持技术，针对目前其评价方法效率低、准确度不高的现状，提出基于几何/拓扑结构和基于特征相结合的三层体系评价技术。