摘要
本文用单纯复形的半序关系和格的数学理论，对矿井导线网的空间关系和操作给予了形式的描述。导线网的细部用半序关系来表示，一般能回答导线网的包含、相邻、相接等空间关系问题，用格的理论能方便地实现导线网的交、并和查询等空间操作。对于非格的半序关系，通过增加新的元素构成格，用序的理论对导线网的结构进行形式描述，为导线网数据和拓扑结构的计算机存储和操作提供理论基础。
The formal description of underground traverse spatial relations can be based on mathematical theories of order. In this paper the partially ordered sets are used to model the underground traverse spatial relations. Their applications of modeling the spatial relations and related operations are presented. A suitable approach to model certain topological relations based on a lattice of simplex comples is also given.
出处
《测绘学报》
EI
CSCD
北大核心
1998年第1期58-62,共5页
Acta Geodaetica et Cartographica Sinica
关键词
半序模型
空间关系
矿井测量
Underground traverse, Partially ordered sets, Spatial relations
