Hierarchical and Functional reasoning complicated spatial relations

摘要

In this paper, a model for hierarchical and functional reasoning complicated spatial relations between sets is developed. The spatial relations are defined in terms of the intersections of the boundaries, interiors and exteriors of two dynamic sets generated by set functions. Since the intersections are processed by the set functions between two given spatial objects, we can generate the spatial relations in differnt details based the selection of different functions step by step.