Mereogeometry and Pictorial Morphology

By Stefano Borgo, Roberta Ferrario, Claudio Masolo and Alessandro Oltramari

The paper reviews geometrical approaches in the area of qualitative space representation by discussing formal systems of geometry based on the notion of extended regions (mereogeometries). The focus is on primitives that are cognitively motivated and that capture different notions of naive geometry. The paper then moves to consider the role of mereogeometries (and in particular of the concepts they rely upon) in the domain of picture morphology in two ways: it discusses some primitives that are motivated from the cognitive perspective, and it considers the issue of granularity and refinement.