RCC*-9 and CBM

In this paper we introduce a new logical calculus of the Region Connection Calculus (RCC) family, RCC*-9. Based on nine topological relations, RCC*-9 is an extension of RCC-8 and models topological relations between multi-type geometric features: therefore, it is a calculus that goes beyond the modeling of regions as in RCC-8, being able to deal with lower dimensional features embedded in a given space, such as linear features embedded in the plane. Secondly, the paper presents a modified version of the Calculus-Based Method (CBM), a calculus for representing topological relations between spatial features. This modified version, called CBM*, is useful for defining a reasoning system, which was difficult to define for the original CBM. The two new calculi RCC*-9 and CBM* are introduced together because we can show that, even if with different formalisms, they can model the same topological configurations between spatial features and the same reasoning strategies can be applied to them.