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Progress in Spatial Data Handling pp 117–131Cite as

A Voronoi-Based Map Algebra

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Abstract

Although the map algebra framework is very popular within the GIS community for modelling fields, the fact that it is solely based on raster structures has been severely criticised. Instead of representing fields with a regular tessellation, we propose in this paper using the Voronoi diagram (VD), and argue that it has many advantages over other tessellations. We also present a variant of map algebra where all the operations are performed directly on VDs. Our solution is valid in two and three dimensions, and permits us to circumvent the gridding and resampling processes that must be performed with map algebra.

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Author information

Authors and Affiliations

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

    Hugo Ledoux & Christopher Gold

Authors
  1. Hugo Ledoux
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  2. Christopher Gold
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Editor information

Editors and Affiliations

  1. Department of Geography and Regional Research, University of Vienna, Universitätsstraße 7, 1010, Vienna, Austria

    Andreas Riedl  & Wolfgang Kainz  & 

  2. Department of Geology and Geography, West Virginia University, 215 White Hall, Morgantown, WV, 26506-6300, USA

    Gregory A. Elmes

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© 2006 Springer-Verlag Berlin Heidelberg

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Ledoux, H., Gold, C. (2006). A Voronoi-Based Map Algebra. In: Riedl, A., Kainz, W., Elmes, G.A. (eds) Progress in Spatial Data Handling. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-35589-8_8

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