A new approach to cyclic ordering of 2D orientations using ternary relation algebras
Artificial Intelligence
Modeling and Computing Ternary Projective Relations between Regions
IEEE Transactions on Knowledge and Data Engineering
Semantics of collinearity among regions
OTM'05 Proceedings of the 2005 OTM Confederated international conference on On the Move to Meaningful Internet Systems
A hybrid geometric-qualitative spatial reasoning system and its application in GIS
COSIT'11 Proceedings of the 10th international conference on Spatial information theory
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The visibility concept is related to many application fields such as robot navigation, computer graphics and telecommunication systems. In this paper we propose a new qualitative model for visibility relations based on properties of the projective space. Within the model we present a set of seven ternary relations among convex regions. Our model is capable to determine the visibility relation between a primary object A with the respect to a "region of view" C and an obstacle B. We developed the reasoning system, which allows the prediction of ternary relations between specific regions.