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Summary: Divide-and-Conquer for Voronoi Diagrams Revisited
Oswin Aichholzer
Wolfgang Aigner
Franz Aurenhammer
Thomas Hackl
Bert J¨uttler§
Elisabeth Pilgerstorfer§
Margot Rabl§
Abstract
We propose a simple and practical divide-and-conquer
algorithm for constructing planar Voronoi diagrams.
The novel aspect of the algorithm is its emphasis on
the top-down phase, which makes it applicable to sites
of general shape.
1 Introduction
The divide-and-conquer paradigm gave the first opti-
mal solution for constructing the closest-site Voronoi
diagram in the plane [13]. Though being a classical
example for applying a powerful algorithmic method
in computational geometry, the resulting algorithm
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