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Voronoi Hierarchies

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Geographic Information Science (GIScience 2006)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4197))

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Abstract

Voronoi diagrams are widely used to represent geographical distributions of information, but they are not readily stacked in a hierarchical fashion. We propose a simple mechanism whereby each index Voronoi cell contains the generators of several Voronoi cells in the next lower level. This allows various processes of indexing, paging, visualization and generalization to be performed on various types of data. While one-level Voronoi indexes have been used before, and hierarchies of the dual Delaunay triangulation have been used for fast point location, we believe that this is the first time that the advantages of their integration have been demonstrated.

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Author information

Authors and Affiliations

  1. School of Computing, University of Glamorgan, CF37 1DL, Pontypridd, Wales, UK

    Christopher Gold & Paul Angel

Authors
  1. Christopher Gold
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  2. Paul Angel
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Editor information

Editors and Affiliations

  1. Department of Geography, University of California, Santa Barbara, 5713 Ellison Hall, 93106, Santa Barbara, CA, U.S.A.

    Martin Raubal

  2. University of Utah, 84112-9155, Salt Lake City, UT, USA

    Harvey J. Miller

  3. Vienna University of Technology, 1040, Vienna, Austria

    Andrew U. Frank

  4. University of California, 93106-4060, Santa Barbara, CA, USA

    Michael F. Goodchild

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© 2006 Springer-Verlag Berlin Heidelberg

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Gold, C., Angel, P. (2006). Voronoi Hierarchies. In: Raubal, M., Miller, H.J., Frank, A.U., Goodchild, M.F. (eds) Geographic Information Science. GIScience 2006. Lecture Notes in Computer Science, vol 4197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11863939_7

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  • DOI: https://doi.org/10.1007/11863939_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44526-5

  • Online ISBN: 978-3-540-44528-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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