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An Ordering of Convex Topological Relations

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Geographic Information Science (GIScience 2012)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7478))

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Abstract

Topological relativity is a concept of interest in geographic information theory. One way of assessing the importance of topology in spatial reasoning is to analyze commonplace terms from natural language relative to conceptual neighborhood graphs, the alignment structures of choice for topological relations. Sixteen English-language spatial prepositions for region-region relations were analyzed for their corresponding topological relations, each of which was found to represent a convex subset within the conceptual neighborhood graph of the region-region relations, giving rise to the construction of the convex ordering of region-region relations. The resulting lattice of the convex subgraphs enables an algorithmic approach to explaining unknown prepositions.

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Author information

Authors and Affiliations

  1. School of Computing and Information Science, University of Maine, 5711 Boardman Hall, Orono, ME, USA, 04469-5711

    Matthew P. Dube & Max J. Egenhofer

Authors
  1. Matthew P. Dube
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  2. Max J. Egenhofer
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Editor information

Editors and Affiliations

  1. Department of Geography, Ohio State University, 1036 Derby Hall, 154 N Oval Mall, 43210, Columbus, OH, USA

    Ningchuan Xiao

  2. Department of Geography, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA

    Mei-Po Kwan

  3. Department of Geography, University of California, 93106-4060, Santa Barbara, CA, USA

    Michael F. Goodchild

  4. Department of Computer Science, University of Minnesota, 55455, Minneapolis, MN, USA

    Shashi Shekhar

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Dube, M.P., Egenhofer, M.J. (2012). An Ordering of Convex Topological Relations. In: Xiao, N., Kwan, MP., Goodchild, M.F., Shekhar, S. (eds) Geographic Information Science. GIScience 2012. Lecture Notes in Computer Science, vol 7478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33024-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-33024-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33023-0

  • Online ISBN: 978-3-642-33024-7

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