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A simple way to recognize a correct Voronoi diagram of line segments

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44210

Burnikel,  Christoph
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45021

Mehlhorn,  Kurt
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45446

Seel,  Michael
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

Externe Ressourcen
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Volltexte (frei zugänglich)

1999-1-007
(beliebiger Volltext), 10KB

Ergänzendes Material (frei zugänglich)
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Zitation

Burnikel, C., Mehlhorn, K., & Seel, M.(1999). A simple way to recognize a correct Voronoi diagram of line segments (MPI-I-1999-1-007). Saarbrücken: Max-Planck-Institut für Informatik.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0014-6F7E-4
Zusammenfassung
Writing a program for computing the Voronoi diagram of line segments is a complex task. Not only there is an abundance of geometric cases that have to be considered, but the problem is also numerically difficult. Therefore it is very easy to make subtle programming errors. In this paper we present a procedure that for a given set of sites $S$ and a candidate graph $G$ rigorously checks that $G$ is the correct Voronoi diagram of line segments for $S$. Our procedure is particularly efficient and simple to implement.