3D topological relations are commonly used for testing or imposing the existence of desired properties between objects of a dataset, such as a city model. Currently available GIS systems usually provide a limited 3D support which usually includes a set of 3D spatial data types together with few operations and predicates, while limited or no support is generally provided for 3D topological relations. Therefore, an important problem to face is how such relations can be actually implemented by using the constructs already provided by the available systems. In this paper, we introduce a generic 3D vector model which includes an abstract and formal description of the 3D spatial data types and of the related basic operations and predicates that are commonly provided by GIS systems. Based on this model, we formally demonstrate how these limited sets of operations and predicates can be combined with 2D topological relations for implementing 3D topological relations.

3D拓扑关系通常用于测试或强加数据集对象（例如城市模型）之间所需属性的存在。当前可用的GIS系统通常提供有限的3D支持，通常包括一组3D空间数据类型以及很少的运算和谓词，而通常对3D拓扑关系提供的支持有限或没有。因此，要面对的一个重要问题是如何通过使用可用系统已经提供的结构来实际实现这种关系。在本文中，我们介绍了一种通用的3D向量模型，其中包括对3D空间数据类型以及GIS系统通常提供的相关基本操作和谓词的抽象和形式描述。基于此模型，