A Model for Representing and Reasoning of Topological Relations of Multiple Simple Regions

There are representative models for spatial topological relations of Region connection calculus and intersections model.The purpose of this paper is to study the topological relations of multiple simple regions.In this paper,the 4-intersection matrix model is extended into a2n-intersection representative function model to represent the spatial relations of multiple simple regions.The exclusiveness and the completeness of these topological relations are proved.Moreover,this paper also gives detailed discussion on the properties and applications of this model from a special and new perspective.And the topological relations among three simple regions in this paper are applied to forecast the impact of typhoon on the specified target areas.Compared with the extended 4-intersection model,8-intersection cube model is more elaborate in representing the topological relations among the three simple regions.