拓扑空间关系描述理论研究现状与发展  

The Development and Current State of Topological Spatial Relation Describing Theory

作　　者：吴建新[1] 方裕[1] 陈斌[1] 

机构地区：[1]北京大学地球与空间科学学院,北京100871

出　　处：《地理与地理信息科学》2005年第3期1-4,共4页Geography and Geo-Information Science

基　　金：国家"863"高技术研究发展计划基金资助项目(2002AA131020)

摘　　要：空间关系研究是空间信息科学的基础,而拓扑空间关系是空间关系的重点与难点,其描述理论一直是研究的热点。该文就这一理论做一综述,阐述"交互模型"(即"区域连接演算")的基本原理,并介绍其在空间信息科学界基本的理论问题,即该描述理论对应的数学模型包括拓扑学和代数两方面;揭示"交叉模型"(即"九交模型")所用的拓扑学思想,并叙述其历史发展过程。对连接这两种模型的Mereotopology理论,阐述其概念与基本原理,指出拓扑空间关系描述理论是一个各模型有严密逻辑关联的统一体,以求对现有描述理论做出改进。Topological spatial relation is important and difficult in the research of spatial relation,which is the basis of Spatial Information Science,and its describing theories are of great interests for researchers.This paper reviews this research area.For Region-Connection Calculus,its principles and mathematical models,including topological and algebraic,will be explained.As for 9-Intersection Model,the authors try to discover the model's underlying topological ideas,and trace its historical development.For Mereotopology,which connects the above two widely recognized describing models,its concepts and principles will also be explained,in order to help the readers realize that the topological spatial relation describing theory is a whole,whose parts are strongly logically interwoven.This paper aims to lay foundations for this research area's further improvement.

关 键 词：空间关系描述 现状与发展 理论研究 空间信息科学 拓扑空间关系 基本原理 关系研究 交互模型 数学模型 发展过程 拓扑学 Y理论 统一体 连接 热点 

分 类 号：P208[天文地球—地图制图学与地理信息工程] O189.11[天文地球—测绘科学与技术]