GTP模型中四面体的引入及其空间模型扩展

Apply Tetrahedrons to GTP Model and Resulted Spatial Model Improvement

该文从空间拓扑概念出发,分析了基于广义三棱柱(GTP)模型建立空间实体间拓扑关系时的不足。针对GTP进行平面剖切时存在的缺陷,讨论了在GTP模型中加入新的几何元素———四面体作为辅助元素的必要性,并将空间实体的描述分为几何元素和实体元素两类。在此基础上,对原有GTP模型进行了改进,建立了几何元素和实体元素之间的拓扑关系,并有效地解决了空间实体的3D平面剖切问题。

Based on the concept of spatial topology, this paper analyzes the shortcomings of generalized tri-prism (GTP) model in establishing spatial topological relationship and in 3D planar clipping on GTP component. The necessity to apply a new geometrical element, tetrahedron, as an assistant element in GTP model is discussed. The spatial modeling elements of GTP model are divided into geometrical elements and entity elements. Some improvements on original GTP model are studied, and the new spatial topological structure between the geometrical elements and entity elements is discussed and established. Hence, the split problem resulted from the 3D planar clipping on GTP is reasonably solved.