A Reasoning System of Ternary Projective Relations

Authors:
Eliseo Clementini;Spiros Skiadopoulos;Roland Billen;Francesco Tarquini
Affiliations:
University of L'Aquila, L'Aquila;University of Peloponnese, Tripolis;University of Liege, Liege;University of L'Aquila, L'Aquila
Venue:
IEEE Transactions on Knowledge and Data Engineering
Year:
2010

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Abstract

This paper introduces a reasoning system based on a previously developed model for ternary projective relations between spatial objects. The model applies to spatial objects of the kind point and region is based on basic projective invariants and takes into account the size and shape of the three objects that are involved in a relation. The reasoning system proposes a set of permutation and composition rules, which allow the inference of unknown relations from given ones.