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International Symposium on Spatial and Temporal Databases

SSTD 2001: Advances in Spatial and Temporal Databases pp 299–317Cite as

Composing Cardinal Direction Relations

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2121))

Abstract

We study the recent proposal of Goyal and Egenhofer who presented a model for qualitative spatial reasoning about cardinal directions. Our approach is formal and complements the presentation of Goyal and Egenhofer. We focus our efforts on the operation of composition for two cardinal direction relations. We point out that the only published method to compute the composition does not always work correctly. Then we consider progressively more expressive classes of cardinal direction relations and give composition algorithms for these classes. Our theoretical framework allows us to prove formally that our algorithms are correct. Finally, we demonstrate that in some cases, the binary relation resulting from the composition of two cardinal direction relations cannot be expressed using the relations defined by Goyal and Egenhofer.

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Author information

Authors and Affiliations

  1. Dept. of Electrical and Computer Engineering, National Technical University of Athens, Zographou, 157 73, Athens, Greece

    Spiros Skiadopoulos

  2. Dept. of Electronic and Computer Engineering, Technical University of Crete, Chania, 73100, Crete, Greece

    Manolis Koubarakis

Authors
  1. Spiros Skiadopoulos
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  2. Manolis Koubarakis
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Aalborg University, Fredrik Bajers Vej 7E, 9220, Aalborg Øst, Denmark

    Christian S. Jensen

  2. Praktische Informatik IV, FernUniversität Hagen, 58084, Hagen, Germany

    Markus Schneider

  3. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, 35032, Marburg, Germany

    Bernhard Seeger

  4. Department of Computer Science and Engineering, University of California, Riverside, CA, 92521, USA

    Vassilis J. Tsotras

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© 2001 Springer-Verlag Berlin Heidelberg

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Skiadopoulos, S., Koubarakis, M. (2001). Composing Cardinal Direction Relations. In: Jensen, C.S., Schneider, M., Seeger, B., Tsotras, V.J. (eds) Advances in Spatial and Temporal Databases. SSTD 2001. Lecture Notes in Computer Science, vol 2121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47724-1_16

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  • DOI: https://doi.org/10.1007/3-540-47724-1_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42301-0

  • Online ISBN: 978-3-540-47724-2

  • eBook Packages: Springer Book Archive

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