三维体目标间拓扑关系与方向关系的混合推理  

Qualitative Reasoning of Mixed Relations Between Topological and Directional Relations of Bodies in 3D Space

作　　者：刘新[1,2] 刘文宝[1] 李成名[1] 

机构地区：[1]山东科技大学测绘科学与工程学院 [2]中国测绘科学研究院

出　　处：《武汉大学学报（信息科学版）》2010年第1期74-78,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(40471109);国家科技支撑计划资助项目(2006BAJ15B02);中国测绘科学研究院基本科研业务资助项目(77748);地理空间信息工程国家测绘局重点实验室资助项目(B2808);国家863计划资助项目(2009AA12Z147)

摘　　要：重点研究了三维空间中拓扑关系和方向关系间的混合空间关系推理。用Allen区间关系对描述基于投影的空间划分方法得到的方向区域和用九交矩阵描述的拓扑关系,用定义法研究混合空间关系推理,推理结果用组合推理表表示。Spatial relationship reasoning is an importance topic in the spatial relation studies. The mixed spatial relation qualitative reasoning between topological relation and directional relation in three dimensional space is studies in the paper. The directional regions based on the projection system and the topological relation based on the nine intersection matrix model are described with Alien＇s interval relation pairs. The presented method is used to make the mixed spatial reasoning between topological relation and directional relation, and reasoning results were shown by the composition tables.

关 键 词：空间关系 拓扑关系 方向关系 混合空间关系推理 三维空间 

分 类 号：P208[天文地球—地图制图学与地理信息工程]