MPI-I-1999-1-007
A simple way to recognize a correct Voronoi diagram of line segments
Burnikel, Christoph and Mehlhorn, Kurt and Seel, Michael
October 1999, 11 pages.
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Status: available - back from printing
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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URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1999-1-007
BibTeX
@TECHREPORT{BurnikelMehlhornSeel99,
AUTHOR = {Burnikel, Christoph and Mehlhorn, Kurt and Seel, Michael},
TITLE = {A simple way to recognize a correct Voronoi diagram of line segments},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
NUMBER = {MPI-I-1999-1-007},
MONTH = {October},
YEAR = {1999},
ISSN = {0946-011X},
}