Refining Topological Relations between Regions Considering Their Shapes

Topological relations are sometimes insufficient for differentiating spatial configurations of two objects with critical difference in their connection styles. In this paper, we present the projective 9+ -intersection model, which refines topological relations into projective binary relations by considering projective properties of the objects’ shapes. This is indeed a reformulation of projective concepts of the Dimensional Model within the framework of the 9+ intersection. Thirty projective binary relations are established between two regions in R2 , one of which has a multi-order boundary (region+mob). These relations are identified computationally by applying to all theoretical relations the existing constraints for topological region-region relations and seven new specific constraints. After defining the concept of continuous neighbours between two projective binary relations, a conceptual neighbourhood graph of the 30 projective region+mob-region relations is developed.

• Type: Conference
• Year: 2008
• Where: GISCIENCE
• Authors: Roland Billen, Yohei Kurata
• Keywords: GIS, GISCIENCE 2008, Projective Binary Relations, Projective Region+mob-region Relations, Topological Relations