Temporal reasoning based on semi-intervals
Artificial Intelligence
Topological Invariants for Lines
IEEE Transactions on Knowledge and Data Engineering
A Small Set of Formal Topological Relationships Suitable for End-User Interaction
SSD '93 Proceedings of the Third International Symposium on Advances in Spatial Databases
ER '99 Proceedings of the Workshops on Evolution and Change in Data Management, Reverse Engineering in Information Systems, and the World Wide Web and Conceptual Modeling
Reasoning about Gradual Changes of Topological Relationships
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
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
On 3D Topological Relationships
DEXA '00 Proceedings of the 11th International Workshop on Database and Expert Systems Applications
Modeling and Computing Ternary Projective Relations between Regions
IEEE Transactions on Knowledge and Data Engineering
Topological relationships between complex spatial objects
ACM Transactions on Database Systems (TODS)
Metric details of topological line-line relations
International Journal of Geographical Information Science
The head-body-tail intersection for spatial relations between directed line segments
GIScience'06 Proceedings of the 4th international conference on Geographic Information Science
Spherical topological relations
Journal on Data Semantics III
Conceptual neighbourhood diagrams for representing moving objects
ER'05 Proceedings of the 24th international conference on Perspectives in Conceptual Modeling
A qualitative trajectory calculus and the composition of its relations
GeoS'05 Proceedings of the First international conference on GeoSpatial Semantics
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Topological relations are sometimes insufficient for differentiating spatial configurations of two objects with critical difference in their connection styles. In this paper, we present the projective 9+-intersection model, which refines topological relations into projective binary relationsby considering projective properties of the objects' shapes. This is indeed a reformulation of projective concepts of the Dimensional Modelwithin the framework of the 9+-intersection. Thirty projective binary relationsare established between two regions in R2, one of which has a multi-order boundary(region+ mob). These relations are identified computationally by applying to all theoretical relations the existing constraints for topological region-region relations and seven new specific constraints. After defining the concept of continuous neighbours between two projective binary relations, a conceptual neighbourhood graph of the 30 projective region+ mob-region relations is developed.