Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Ahn, Hee-Kap; Cheng, Siu-Wing; Kweon, Hyuk Jun; Yon, Juyoung http://www.dagstuhl.de/lipics License
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URN: urn:nbn:de:0030-drops-38845
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Overlap of Convex Polytopes under Rigid Motion

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Abstract

We present an algorithm to compute an approximate overlap of two convex polytopes P_1 and P_2 in R^3 under rigid motion. Given any epsilon in (0,1/2], our algorithm runs in O(epsilon^{-3}n log^{3.5}n) time with probability 1 - n^{-O(1)} and returns a (1-epsilon)-approximate maximum overlap, provided that the maximum overlap is at least lambda max(|P_1|,|P_2|) for some given constant lambda in (0,1].

BibTeX - Entry

@InProceedings{ahn_et_al:LIPIcs:2012:3884,
  author =	{Hee-Kap Ahn and Siu-Wing Cheng and Hyuk Jun Kweon and Juyoung Yon},
  title =	{{Overlap of Convex Polytopes under Rigid Motion}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012) },
  pages =	{498--509},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-47-7},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{18},
  editor =	{Deepak D'Souza and Telikepalli Kavitha and Jaikumar Radhakrishnan},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2012/3884},
  URN =		{urn:nbn:de:0030-drops-38845},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2012.498},
  annote =	{Keywords: convex polytope, overlap, approximation, rigid motion}
}

Keywords: convex polytope, overlap, approximation, rigid motion
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012)
Related Scholarly Article:
Issue date: 2012
Date of publication: 2012


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