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This paper looks at axioms for convexity, and shows how they can be applied to discrete spaces. Two structures for a discrete geometry are considered: oriented matroids, and cell c...
Scale is of great importance to the analysis of real world phenomena, be they enduring objects or perduring processes. This paper presents a new perspective on the concept of scale...
Abstract. Spatializations are computer visualizations in which nonspatial information is depicted spatially. Spatializations of large databases commonly use distance as a metaphor ...
Daniel R. Montello, Sara Irina Fabrikant, Marco Ru...
This paper describes categories for landscape elements in the language of the Yindjibarndi people, a community of Indigenous Australians. Yindjibarndi terms for topographic featur...
Because diagrams are often created incrementally, a qualitative diagrammatic reasoning system must dynamically manage a potentially large set of spatial interpretations. This pape...
Ronald W. Ferguson, Joseph L. Bokor, Rudolph L. Ma...
The scope of this paper is a qualitative description of terrain features that can be characterized using the silhouette of a terrain. The silhouette is a profile of a landform seen...
Abstract. The navigation task is a very demanding application for mobile users. The algorithms of present software solutions are based on the established methods of car navigation ...
Numerous cognitive studies have indicated that the form and complexity of route instructions may be as important to human navigators as the overall length of route. Most automated ...
Standard theories in mereotopology focus on relations of parthood and connection among spatial or spatio-temporal regions. Objects or processes which might be located in such regio...