Shape similarity based on the qualitative spatial reasoning calculus eOPRAm

Abstract

In our paper we investigate the use of qualitative spatial representations (QSR) about relative direction and distance for shape representation. Our new approach has the advantage that we can generate prototypical shapes from our abstract representation in first-order predicate calculus. Using the conceptual neighborhood which is an established concept in QSR we can directly establish a conceptual neighborhood between shapes that translates into a similarity metric for shapes. We apply this similarity measure to a challenging computer vision problem and achieve promising first results.