栅格空间中三维地学实体拓扑关系表达的K6N9-I模型

论述栅格空间中三维地学实体拓扑空间关系研究的理论基础和现实意义,基于数字拓扑理论定义了栅格实体的6邻域内部I6、6邻域边界B6和k阶6邻域E6k,并以此分别替换9-I模型中实体的内部I、边界B和外部E,形成一种适用于栅格空间三维实体拓扑关系描述和分析的新9-I模型,即k阶6邻9-I模型(K6N9-I)。以基于规则六面体表达的地学实体为研究对象,通过扩展关系数据库SQL形成空间关系查询语言,实现了栅格空间中三维地学实体拓扑关系的定性表示和定量计算。以若干地学实体为例进行了初步实验,表明该模型实用方便,且在复杂地学实体的度量、方位等空间关系研究方面亦有较好的应用前景。

K6N9-I Model: A Topological Relation Representation Model for Three Dimensional Geo-Entities in Raster Space

The theoretical foundation and application availability of topological spatial relationship research for three dimensional geo-entities in raster space are discussed.Based on digital topology theory,an entity is defined with 6-connectivity,and the interior I6,the boundary B6 and the k-order 6 neighborhoods Ek6 are defined furthermore.A new 9-intersection model named as k-order 6 neighborhoods model(K6N9-I Model),which replaces the interior I,the boundary B and the exterior E of entities in 9-I model with I6,B6 and Ek6 respectively,is presented.A computable method for topological query and analysis based on relation database query language SQL(Structure Query Language) is studied,and the qualitative representation and the quantitative computation methods of geo-entity's topological relations in 3D raster space are realized.A test experiment on several geo-entities was conducted.It shows that the new topological model is easy for use,and that is not only effective for the query and analysis of topological relations,but also promising for other spatial relationships of complex geo-entities such as metric relation and direction relation in 3D raster space.