Topological relations in the world of minimum bounding rectangles: a study with R-trees
SIGMOD '95 Proceedings of the 1995 ACM SIGMOD international conference on Management of data
Uncertainty handling in spatial relationships
SAC '00 Proceedings of the 2000 ACM symposium on Applied computing - Volume 1
Sorites paradox and vague geographies
Fuzzy Sets and Systems - Special issue on Uncertainty in geographic information systems and spatial data
The House Is North of the River: Relative Localization of Extended Objects
COSIT 2001 Proceedings of the International Conference on Spatial Information Theory: Foundations of Geographic Information Science
Reasoning about Cardinal Directions Using Grids as Qualitative Geographic Coordinates
COSIT '99 Proceedings of the International Conference on Spatial Information Theory: Cognitive and Computational Foundations of Geographic Information Science
A Geometric Theory of Vague Boundaries Based on Supervaluation
COSIT 2001 Proceedings of the International Conference on Spatial Information Theory: Foundations of Geographic Information Science
Cardinal Directions on Extended Objects for Qualitative Navigation
IEA/AIE '98 Proceedings of the 11th international conference on Industrial and engineering applications of artificial intelligence and expert systems: methodology and tools in knowledge-based systems
Uncertainty Management for Spatial Data in Databases: Fuzzy Spatial Data Types
SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
Composing Cardinal Direction Relations
SSTD '01 Proceedings of the 7th International Symposium on Advances in Spatial and Temporal Databases
Similarity of Cardinal Directions
SSTD '01 Proceedings of the 7th International Symposium on Advances in Spatial and Temporal Databases
Qualitative Spatial Representation and Reasoning Techniques
KI '97 Proceedings of the 21st Annual German Conference on Artificial Intelligence: Advances in Artificial Intelligence
Similarity assessment for cardinal directions between extended spatial objects
Similarity assessment for cardinal directions between extended spatial objects
A geometric agent following route instructions
Spatial cognition III
Modeling and Computing Ternary Projective Relations between Regions
IEEE Transactions on Knowledge and Data Engineering
Towards a formalization of social spaces for socially aware robots
COSIT'11 Proceedings of the 10th international conference on Spatial information theory
Semantics of collinearity among regions
OTM'05 Proceedings of the 2005 OTM Confederated international conference on On the Move to Meaningful Internet Systems
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In this paper, we present the concept of graded sections, which allows us to compare alternative conceptualizations of direction relations and to process them in an integrative manner. To describe graded sections, section bundles are introduced, which provide formal means to (1) compare alternative candidates that are related via a direction relation like "north" or "south-east," (2) distinguish between good and not so good candidates, and (3) select a best candidate. The concepts and methods are exemplified with the cardinal direction "north," however, they are applicable to all cardinal directions, including the "cyclical east-west" and other directional terms, such as "left" and "in front of."