Abstract
In this paper, we present a theory of space as a framework for spatial reasoning. We believe this formalism is useful for representing geographic space, at least when two constraints are present: a necessity to reason qualitatively over spatial information, and a lack of precise, homogeneous spatial data. This theory is based on mereology, an axiomatic theory of part-whole relation. It includes a formalization of topological concepts as well as some geometric notions, namely distance and orientation. It can be extended to a theory of space-time.
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L. Vieu, R. Martin-Clouaire: Spatial and Qualitative Reasoning for Modelling Physical Processes. Submitted (20p)
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Vieu, L. (1993). A logical framework for reasoning about space. In: Frank, A.U., Campari, I. (eds) Spatial Information Theory A Theoretical Basis for GIS. COSIT 1993. Lecture Notes in Computer Science, vol 716. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57207-4_3
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DOI: https://doi.org/10.1007/3-540-57207-4_3
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