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

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-6F7E-4 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-7717-B
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 Creators:
Burnikel, Christoph1, Author           
Mehlhorn, Kurt1, Author           
Seel, Michael1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 1999
 Publication Status: Issued
 Pages: 11 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: URI: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1999-1-007
Report Nr.: MPI-I-1999-1-007
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Title: Research Report / Max-Planck-Institut für Informatik
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