Maintaining knowledge about temporal intervals
Communications of the ACM
A relation — algebraic approach to the region connection calculus
Theoretical Computer Science
A New Tractable Subclass of the Rectangle Algebra
IJCAI '99 Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence
Reasoning about Binary Topological Relations
SSD '91 Proceedings of the Second International Symposium on Advances in Spatial Databases
Similarity of Cardinal Directions
SSTD '01 Proceedings of the 7th International Symposium on Advances in Spatial and Temporal Databases
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
Region connection calculus: its models and composition table
Artificial Intelligence
Composing cardinal direction relations
Artificial Intelligence
Cardinal directions between spatial objects: the pairwise-consistency problem
Information Sciences—Informatics and Computer Science: An International Journal
On the consistency of cardinal direction constraints
Artificial Intelligence
Combining topological and directional information for spatial reasoning
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Consistency checking of basic cardinal constraints over connected regions
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Combining RCC-8 with qualitative direction calculi: algorithms and complexity
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Using extended cardinal direction calculus in natural language based systems
ICAISC'10 Proceedings of the 10th international conference on Artifical intelligence and soft computing: Part II
Reasoning With Topological And Directional Spatial Information
Computational Intelligence
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Direction relations between extended spatial objects are important commonsense knowledge. Recently, Goyal and Egenhofer proposed a formal model, called Cardinal Direction Calculus (CDC), for representing direction relations between connected plane regions. CDC is perhaps the most expressive qualitative calculus for directional information, and has attracted increasing interest from areas such as artificial intelligence, geographical information science, and image retrieval. Given a network of CDC constraints, the consistency problem is deciding if the network is realizable by connected regions in the real plane. This paper provides a cubic algorithm for checking consistency of basic CDC constraint networks. As one by product, we also show that any consistent network of CDC constraints has a canonical realization in digital plane. The cubic algorithm can also been adapted to cope with disconnected regions, in which case the current best algorithm is of time complexity O(n5).