一种三维空间两模糊对象拓扑关系的描述方法  

A Description of the Fuzzy Objects in Three Dimensional Space

作　　者：夏春林[1] 商颖 尤小刚 XIA Chunlin;SHANG Ying;YOU Xiaogang(School of Geomatics,Liaoning Technical University,Fuxin 123000,China)

机构地区：[1]辽宁工程技术大学测绘与地理科学学院

出　　处：《测绘与空间地理信息》2019年第11期182-184,共3页Geomatics & Spatial Information Technology

摘　　要：拓扑定义了空间要素如何共享空间的规则,它是一个规则和关系的集合,可以用来控制要素间的地理关系,同时保持它们各自的集合完整性,是重建地理实物的有效手段。针对三维空间中拓扑关系的研究现状,本文采用了粗糙集理论,对三维空间中模糊对象间的拓扑关系进行了研究,得出了两个模糊对象间的拓扑关系模型。为进一步研究分析空间拓扑关系提供了理论基础。Topology defines the rules of how space elements share space.It is a set of rules and relationships,which can be used to control the geographical relationship between elements,and to maintain the integrity of their respective sets.It is an effective means to reconstruct the physical objects.For now the research status of topological relationships of three-dimensional space,using the rough set theory,the topological relations between fuzzy objects in 3 d space is studied.Obtained the topological relations between two fuzzy object model,to further study on spatial topological relations for understanding the objective world.

关 键 词：三维空间 模糊对象 拓扑关系 粗糙集 空间拓扑 

分 类 号：P208[天文地球—地图制图学与地理信息工程]