Geometric Topology

Trimmed Surface in Geometric Modeling The topology and geometry of solid is represented by trimmed curve surface and half-edge data structure.

几何造型中的裁剪曲面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。

By calculating both the magnitude of the range of damage influence and the reasonableness of geometric topology of the improved structures, the effect of several topologic improvement schemes can be obtained. By comparison the most reasonable and robust structure can finally be determined.

对改进后的方案，通过构件损伤的影响范围大小的计算以及结构的几何拓扑布置合理性的改进，判断改进的效果，并对各个改进方案进行比较，最终确定合理的鲁棒的改进方案。

In topology , the invariability deformations of geometric figures and is referred to as topological property.

这一过程中的“恒量”和局部“变量”反映了翻译的“变化中的不变性质”,即翻译的拓扑性质.

Methods Ten Scorpio samples were obtained from Hubei, Shaanxi, and Shandong provinces and analyzed with X-ray diffraction Fourier pattern technique to obtain the geometric topology and characteristic marked peak of Scorpio.

方法用X射线衍射Fourier图谱分析技术对湖北、陕西、山东等不同产地的10个全蝎样品进行分析研究，获取全蝎中药材的对照粉末X射线衍射Fourier指纹图谱。

In the design of this structure, the current through the geometric analysis and general spreadsheet to determine the geometric topology.

在设计这种结构时，目前一般通过几何分析和试算来确定几何拓扑。

Surface reconstruction is reproduction process of geometric topology information and feature bases on surface practicality model.

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。

The data structures for saving and access of geometric and topology information are designed. A practical method of generating polygonal wire-frame drawing and automatically obtaining geometric and topology information of targets from the DXF file of AutoCAD software is described.

设计了几何和拓扑信息存取的数据结构，给出了生成多面体网格图形的一种实用方法以及由AutoCAD的DXF文件自动提取目标几何和拓扑信息的方法。

The domain is divided into two parts: the reserved domain and excavation domain, which are determined with the help of geometric topology.

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 robustness of a structure generally can be defined as the property of system to maintain its function in risk event, it emphasizes that the geometric topology of structural components should be reasonable.

结构的鲁棒性一般可以定义为结构体系在突发事件出现后维持其功能的稳健性能，它强调的是结构杆件分布拓扑关系的合理。

When the range of damage influence and the relative importance for each component is determined, the geometric topology of the structure can be analyzed.

确定了构件损伤的影响范围和相对重要性，进而可以分析结构拓扑分布的合理性。