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URN: urn:nbn:de:0030-drops-20292
URL: http://drops.dagstuhl.de/opus/volltexte/2009/2029/
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Rote, Günter

Two Applications of Point Matching

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Abstract

The two following problems can be solved by a reduction to a minimum-weight bipartite matching problem (or a related network flow problem): a) Floodlight illumination: We are given $n$ infinite wedges (sectors, spotlights) that can cover the whole plane when placed at the origin. They are to be assigned to $n$ given locations (in arbitrary order, but without rotation) such that they still cover the whole plane. (This extends results of Bose et al. from 1997.) b) Convex partition: Partition a convex $m$-gon into $m$ convex parts, each part containing one of the edges and a given number of points from a given point set. (Garcia and Tejel 1995, Aurenhammer 2008)

BibTeX - Entry

@InProceedings{rote:DSP:2009:2029,
  author =	{G{\"u}nter Rote},
  title =	{Two Applications of Point Matching},
  booktitle =	{Computational Geometry},
  year =	{2009},
  editor =	{Pankaj Kumar Agarwal and Helmut Alt and Monique Teillaud},
  number =	{09111},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2009/2029},
  annote =	{Keywords: Bipartite matching, least-squares}
}

Keywords: Bipartite matching, least-squares
Seminar: 09111 - Computational Geometry
Issue Date: 2009
Date of publication: 24.06.2009

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