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Higher Order Voronoi Diagrams and Distance Functions in Art and Visualization

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Generalized Voronoi Diagram: A Geometry-Based Approach to Computational Intelligence

Part of the book series: Studies in Computational Intelligence ((SCI,volume 158))

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Summary

Higher order Voronoi diagrams provide a useful tool for studying problems where more than one nearest site is of interest. Understanding and visualizing higher order Voronoi diagrams is more difficult than ordinary Voronoi diagrams and requires intelligent solutions. In this chapter we discuss several rendering techniques using color, line and texture to visualize higher order Voronoi diagrams in two and three dimensions. Such approaches have several interesting characteristics such as providing useful multi-dimensional information when even a small portion of the figure is available.

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Author information

Authors and Affiliations

  1. Northern Arizona University, Flagstaff, AZ 86011, USA

    James Dean Palmer

Authors
  1. James Dean Palmer
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Editor information

Editors and Affiliations

  1. University of Calgary , AB, Canada

    Marina L. Gavrilova

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Palmer, J.D. (2009). Higher Order Voronoi Diagrams and Distance Functions in Art and Visualization. In: Gavrilova, M.L. (eds) Generalized Voronoi Diagram: A Geometry-Based Approach to Computational Intelligence. Studies in Computational Intelligence, vol 158. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85126-4_12

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  • DOI: https://doi.org/10.1007/978-3-540-85126-4_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85125-7

  • Online ISBN: 978-3-540-85126-4

  • eBook Packages: EngineeringEngineering (R0)

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