雕塑实体模型通过裁剪曲面片和半边数据结构来表达几何和拓扑信息。
The topology and geometry of solid is represented by trimmed curve surface and half-edge data structure.
曲面重建就是根据曲面实物模型的点云，重建其几何和拓扑信息，并再现特征的过程。
Surface reconstruction is reproduction process of geometric topology information and feature bases on surface practicality 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；
The axis skeleton, the information of geometry and topology of skeleton point were got after preprocessing of model.
本文依据数学形态学原理，根据文字、符号自身的几何和拓扑特征，构造了系列形态变换模型。
Based upon the principles of mathematical morphology, a series of morphological transforming models are constructed in terms of the graphical and topological characteristics of texts and symbols.
使用带有位置和几何指示器的Xdmx配置文件可以创建满足工作环境的任意数量的拓扑。
Use your Xdmx configuration file with the location and geometry specifiers to create any number of topologies that suit your working environment.
塔身一般由许多个标准节组成，每一个标准节具有相同的拓扑形状、几何尺寸和截面类型。
The tower body is generally composed of many standard sections, each of which has the same topology, geometry, and cross section.
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.
图形分析器通过对控制系统方框图的几何结构进行跟踪探索和结构分析，生成相应的拓扑结构。
After tracing and analyzing the geometric structure of control system block diagram, thereby the corresponding topological structure is generated by graph analyzer.
研究了由涡度诱导出的速度场，采用数值模拟方法，讨论了矢量场的分布和几何拓扑性质。
The velocity field resulting from vortex flow is studied. The vector field distribution and geometry topology characteristic are discussed by means of numerical simulations.
分子描述符描述化合物的拓扑、电子和几何特征，在预测药物性质中广泛应用。
Molecular descriptors, which describe the topological, electronic, and geometric features of a molecule, have been routinely used in computational prediction of drug properties.
根据CIM模型，分别对设备图元的几何属性、电气属性和拓扑属性进行设计。
According to CIM, the paper has designed the geometric property, electric property and topological property of equipment elements.
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.
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.
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.
对零件特征按加工过程中几何拓扑结构以及功能进行分类和定义。
The part features were classified and defined according to the geometric topology and functions in part machining.
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.
建议事先知道一些关于代数拓扑和微分几何的基本知识，但不是必需的。
Knowledge of elementary algebraic topology and elementary differential geometry is recommended, but not required.
代数，演算，功能分析，几何，数论，逻辑，拓扑和其他数学专业。
It includes instruction in algebra. calculus. functional analysis. geometry. number theory. logic. topology and other mathematical specializations.
数字拓扑主要研究栅格空间中离散几何对象的拓扑性质，这些性质在GIS空间分析和栅格数据处理中非常重要。
It is essential to the spatial raster data structure of GIS; in fact, all spatial analysis about raster data is based on the digital topology.
因此，网格具有四个基本特征：几何特性、拓扑结构、物理属性和时变性。
Therefore a mesh has four basic characteristics: geometrical property, topological structure, physical property and time-varying property.
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.
实验表明，该模型不仅可行，而且高效，并保持了空间要素和要素之间的几何拓扑一致性。
The experiments showed that the model can work efficiently and practically, and keep the topological insistency of the vector spatial data.
本文在分析GIS、CAD以及通用出版软件数据模型的基础上提出了面向地图出版的数据模型，具体包括几何对象模型、地图模型和拓扑模型以及它们的数据库存储方案。
The data model is drive from the analysis of the data model of GIS , CAD and DTP system. It include the geometry model, the map model, the topology model and their database schema.
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.
该方法根据几何拓扑判断，计算确定单元中的保留域和开挖域。
The domain is divided into two parts:the reserved domain and excavation domain, which are determined with the help of geometric topology.
实例表明提出的算法可以得到具有几何一致性和网格单元拓扑一致性的地质结构模型。
The results showed that the geological structure model with geometrical consistency and grid topological consistency could be obtained by the algorithm.
他以几何学和拓扑学的杰出工作闻名世界，曾获美国国家科学奖和沃尔夫奖，是二十世纪伟大的几何学家。
He is well-known in the world for his outstanding work in geometry and topology. He was awarded the National Medal of Science (USA) and the Wolf Prize.
他以几何学和拓扑学的杰出工作闻名世界，曾获美国国家科学奖和沃尔夫奖，是二十世纪伟大的几何学家。
He is well-known in the world for his outstanding work in geometry and topology. He was awarded the National Medal of Science (USA) and the Wolf Prize.
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