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Partition and conquer

  • Representations of Spatial Concepts
  • Conference paper
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Spatial Information Theory A Theoretical Basis for GIS (COSIT 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1329))

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Abstract

Although maps and partitions are ubiquitous in geographical information systems and spatial databases, there is only little work investigating their foundations. We give a rigorous definition for spatial partitions and propose partitions as a generic spatial data type that can be used to model arbitrary maps and to support spatial analysis. We identify a set of three powerful operations on partitions and show that the type of partitions is closed under them. These basic operators are sufficient to express all known application-specific operations. Moreover, many map operations will be considerably generalized in our framework. We also indicate that partitions can be effectively used as a meta-model to describe other spatial data types.

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Authors and Affiliations

  1. Praktische Informatik IV, FemUniversität Hagen, D-58084, Hagen, Germany

    Martin Erwig & Markus Schneider

Authors
  1. Martin Erwig
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  2. Markus Schneider
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Stephen C. Hirtle Andrew U. Frank

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© 1997 Springer-Verlag Berlin Heidelberg

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Erwig, M., Schneider, M. (1997). Partition and conquer. In: Hirtle, S.C., Frank, A.U. (eds) Spatial Information Theory A Theoretical Basis for GIS. COSIT 1997. Lecture Notes in Computer Science, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63623-4_63

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  • DOI: https://doi.org/10.1007/3-540-63623-4_63

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63623-6

  • Online ISBN: 978-3-540-69616-2

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