Information Sciences: an International Journal
Using Orientation Information for Qualitative Spatial Reasoning
Proceedings of the International Conference GIS - From Space to Territory: Theories and Methods of Spatio-Temporal Reasoning on Theories and Methods of Spatio-Temporal Reasoning in Geographic Space
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
Projective relations in a 3d environment
GIScience'06 Proceedings of the 4th international conference on Geographic Information Science
Spherical topological relations
Journal on Data Semantics III
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For geographic applications, it is of great interest to study the geometric properties of the sphere. Spatial models that directly deal with geographic coordinates are able to contemplate such aspects that would be otherwise disregarded by flat 2D models. For example, on the Earth's surface, a point which is to the East of another point could be reached travelling to West as well. Being situated at the North Pole, taking any direction would mean travelling to South. In this paper, we study projective relations on the sphere, a category of spatial relations more general than cardinal directions and that, together with topological relations and qualitative distances, represent the essence of qualitative spatial relations.