通过分析单义域几何与拓扑特征确定交点域。
Analyzing geometry and topology features of Primitive regions, we can get the intersection regions which imply adjacency among them.
代数拓扑；辛几何与拓扑；常微分和偏微分方程。
Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.
子流形高斯像的几何与拓扑是整体微分几何领域的重要研究课题之一。
It plays an important role in global differential geometry to study the geometric and topological properties of Gaussian image of submanifolds.
这些特殊计算与那些是相似被使用在重覆叠盖的几何图形：交叉点被计算，点和连接被形成，拓扑结构建立，并且更新属性表格。
These particular computations are similar to those used in polygon overlay: intersections are computed, nodes and links are formed, topology is established, and attribute tables are updated.
闭路拓扑原理和欧拉公式是检验实体模型边界表示的拓扑与几何一致性的重要工具。
For inspecting topological and geometrical unanimity of a solid model, principle of closed path topology and Euler′s formula are important tools.
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。
The product attribute and behavior information in virtual assembly is stored in a hierarchy of product, feature, geometry & topology and display levels.
论述了拓扑相关性、几何相关性、表示相关性、操作相关性、表示与操作的相关性以及它们之间的关系。
The coherence relates to topology coherence, geometry coherence, representation coherence, operation coherence and relationship among these various forms of coherence.
结合曲面重建问题的研究现状，围绕拓扑重建与几何重建这两个关键技术，提出了本文付诸研究并取得进展的若干问题。
Based on the present state of investigation, several problems are put forward about topologic reconstruction and geometric reconstruction which have been studied carefully in this dissertation.
最后将物体图像的拓扑结构信息和几何信息与模型库中模型物体的拓扑结构信息和几何信息匹配，从而达到识别的目的。
At last, match the information of topology and geometry of the object images with that of the model objects in the model base to recognize.
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。
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.
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 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.
通过非流形造型与基于物理的造型相结合，从拓扑结构和几何信息两个方面扩大了模型的表示范围。
Representing objects by combining non manifold modeling and physically based modeling enlarges the representing domain for both topology and geometry.
构造数据和物理属性数据两部分组成，构造数据又包括几何数据与拓扑数据。
Usually mesh data are composed of mesh structure data and physical properties data. Furthermore mesh structure data include geometrical data and topological data.
该方法建立基于标签的空间拓扑算子的计算，进行几何体空间关系的判断与合并，实现空间数据的多比例尺表达与显示。
The method computes topological operator based on label, verdicts and merges the spatial relationship of geometric, expresses and displays the multi-scale of spatial data.
该方法建立基于标签的空间拓扑算子的计算，进行几何体空间关系的判断与合并，实现空间数据的多比例尺表达与显示。
The method computes topological operator based on label, verdicts and merges the spatial relationship of geometric, expresses and displays the multi-scale of spatial data.
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