Voronoi diagrams—a survey of a fundamental geometric data structure
ACM Computing Surveys (CSUR)
Analysing the familiar: Reasoning about space and time in the everyday world
Analysing the familiar: Reasoning about space and time in the everyday world
Toward the simulation of spatial mental images using the Voronoi¨ model
Representation and processing of spatial expressions
Imprecise reasoning in geographic information systems
Fuzzy Sets and Systems - Special issue on Uncertainty in geographic information systems and spatial data
A Spatial Model Based on the Notions of Spatial Conceptual Map and of Object's Influence Areas
COSIT '99 Proceedings of the International Conference on Spatial Information Theory: Cognitive and Computational Foundations of Geographic Information Science
Toward a geometry of common sense: a semantics and a complete axiomatization of mereotopology
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
From images to bodies: modelling and exploiting spatial occlusion and motion parallax
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Reasoning about categories in conceptual spaces
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Spatial proximity is more than just a distance measure
International Journal of Human-Computer Studies
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Reasoning about your spatial environment can be a challenging task, especially when you are a robot trying to rely solely on quantitative measures. With nearness being such a vague concept, a qualitative representation is an obvious choice offering a wider range of possible values.This paper introduces a qualitative representation for spatial proximity that accounts for absolute binary nearness relations. The formalism is based on the notion of perceived points, called sites, in a point based universe. Proximity concepts are determined by the parameters of distance between two sites and weight of each of those sites. These parameters were drawn from the concept of Generalised Voronoi Diagrams.Cognitively useful models and interpretations of our formalism are shown in both a navigation and a natural language context.