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International Conference on Geographic Information Science

GIScience 2002: Geographic Information Science pp 1–21Cite as

Investigating Recursive Point Voronoi Diagrams

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2478))

Abstract

Recursive Voronoi diagrams (RVDs) use Voronoi concepts to tessellate a space with respect to a given set of generators and repeat the construction every time with a new generator set consisting of objects selected from the previous generator set plus features of the current tessellation. In this paper, we investigate the behaviour of three variants of a single recursive Voronoi construction involving point generators. We describe how these structures may be constructed in Arc/Info. Although we suggest that RVDs have a number of potential uses in GIS, we focus on a spatial modelling perspective and examine some of their statistical characteristics. The RVDs examined are found to be fractal in nature.

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Author information

Authors and Affiliations

  1. Department of Geography and Environmental Studies, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada

    Barry Boots & Steven Roberts

  2. Department of Geography, School of Planning, Faculty of Environmental Studies, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    Robert Feick

  3. Centre for Advanced Spatial Analysis, University College London, 1-19 Torrington Place, London, WC1E 6BT, UK

    Narushige Shiode

Authors
  1. Barry Boots
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  2. Robert Feick
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  3. Narushige Shiode
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  4. Steven Roberts
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Editor information

Editors and Affiliations

  1. Department of Spatial Information Science and Engineering, National Center for Geographic Information and Analysis, Orono, ME, 04469-5711, USA

    Max J. Egenhofer

  2. Department of Computer Science, University of Maine, Orono, ME, 04469-5711, USA

    Max J. Egenhofer

  3. National Center for Geographic Information and Analysis Department of Geography, University at Buffalo, 105 Wilkeson Quad., Box 610023, Buffalo, NY, 14261-0023, USA

    David M. Mark

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© 2002 Springer-Verlag Berlin Heidelberg

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Boots, B., Feick, R., Shiode, N., Roberts, S. (2002). Investigating Recursive Point Voronoi Diagrams. In: Egenhofer, M.J., Mark, D.M. (eds) Geographic Information Science. GIScience 2002. Lecture Notes in Computer Science, vol 2478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45799-2_1

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  • DOI: https://doi.org/10.1007/3-540-45799-2_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44253-0

  • Online ISBN: 978-3-540-45799-2

  • eBook Packages: Springer Book Archive

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