三维体目标间拓扑方向关系描述和推理  

Description and reasoning of integrated topological and directional relation of bodies in 3D space

作　　者：刘新[1] 李成名[2] 刘文宝[1] 

机构地区：[1]山东科技大学测绘学院,山东青岛266510 [2]中国测绘科学研究院,北京100830

出　　处：《中国工程科学》2013年第5期8-13,共6页Strategic Study of CAE

基　　金：国家自然科学基金项目(40471109;41201381);国家高技术研究发展计划项目(2009AA121405;2009AA121402);地理空间信息工程国家测绘局重点实验室开放基金项目(201130);海岛(礁)测绘技术国家测绘地理信息局重点实验室开放基金项目(2011B12)

摘　　要：空间关系描述了地理信息系统(GIS)中实体间的位置、距离、方位、拓扑等的度量。为提高空间关系描述的惟一性和空间关系推理的准确性,将拓扑关系与方向关系集成描述,构建拓扑方向关系的描述表达模型。目标对象与参照物在X、Y、Z 3个坐标轴上投影间的Allen区间关系分别为R1、R2和R3,提出利用Allen区间关系对(R1,R2,R3)描述三维拓扑方向区域,用定义法研究拓扑方向关系定性推理,通过一些典型例子说明拓扑方向关系推理过程和结果,推理结果用组合推理表表示。To improve the uniqueness location information described by spatial relationship and accuracy of spatial relationship reasoning result, the description model of the integrated topological and directional relations in three-dimensionall （3D） space was developed. The topological directional regions were described by Allen interval pair （R1,R2,R3） , where R,, R2 and R3 are Allen interval relations between object and reference in X, Y and Z axis projection respectively. According to definition of integrated topological and direction relation, the qualitative reasoning of integrated topological and directional relations were studied. Empirical examples were provided to show the qualitative reasoning process and results of topological direction relationships for some classical cases. Combined tables of the integrated topological and directional relations were obtained when the topological relations were disjoint in 3D space.

关 键 词：空间关系 拓扑关系 方向关系 拓扑方向关系 三维空间 

分 类 号：P208[天文地球—地图制图学与地理信息工程]