Qualitative Geometry for Shape Recognition
Applied Intelligence
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
A Geographer Looks at Spatial Information Theory
COSIT 2001 Proceedings of the International Conference on Spatial Information Theory: Foundations of Geographic Information Science
Application of Supervaluation Semantics to Vaguely Defined Spatial Concepts
COSIT 2001 Proceedings of the International Conference on Spatial Information Theory: Foundations of Geographic Information Science
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A theory of granular parthood based on qualitative cardinality and size measures
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A size-based qualitative approach to the representation of spatial granularity
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Positions, regions, and clusters: strata of granularity in location modelling
KI'10 Proceedings of the 33rd annual German conference on Advances in artificial intelligence
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Granularity as a parameter of context
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The article presents an approach for modeling the regions of large-scale aggregations like forests that is based on an axiomatic geometry formalizing concepts of granularity and local perception: based on a planar geometry of incidence and ordering, congruence of size is characterized using certain geometric entities called places, which are specified to have the same extension in every direction. Size is axiomatized in a comparative and non-numeric manner suitable for qualitative spatial reasoning over granularity. A specification for the granular interior of an aggregation in a global (GGI) and a local variant (LGI) is given. The specification was derived from the observation that objects like forests are perceived locally in an environment. The expressiveness of the characterization is tested on different commonsense notions concerning the representation of aggregations of natural objects.