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  On the conversion of ordinary Voronoi diagrams into Laguerre diagrams

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by Francois Anton, Darka Mioc
http://www.cs.ubc.ca/conferences/CCCG/elec_proc/c44.ps.gz
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Abstract:

We present some geometric relationships between the ordinary Voronoi diagram, and the Voronoi diagram in the Laguerre geometry. We derive from these properties an algorithm for the conversion of ordinary Voronoi diagrams into Voronoi diagrams in the Laguerre geometry. 1

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