License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SoCG.2018.17
URN: urn:nbn:de:0030-drops-87308
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2018/8730/
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Bukh, Boris ; Goaoc, Xavier ; Hubard, Alfredo ; Trager, Matthew

Consistent Sets of Lines with no Colorful Incidence

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LIPIcs-SoCG-2018-17.pdf (1 MB)

Abstract

We consider incidences among colored sets of lines in {R}^d and examine whether the existence of certain concurrences between lines of k colors force the existence of at least one concurrence between lines of k+1 colors. This question is relevant for problems in 3D reconstruction in computer vision.

BibTeX - Entry

@InProceedings{bukh_et_al:LIPIcs:2018:8730,
  author =	{Boris Bukh and Xavier Goaoc and Alfredo Hubard and Matthew Trager},
  title =	{{Consistent Sets of Lines with no Colorful Incidence}},
  booktitle =	{34th International Symposium on Computational Geometry (SoCG 2018)},
  pages =	{17:1--17:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-066-8},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{99},
  editor =	{Bettina Speckmann and Csaba D. T{\'o}th},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/8730},
  URN =		{urn:nbn:de:0030-drops-87308},
  doi =		{10.4230/LIPIcs.SoCG.2018.17},
  annote =	{Keywords: Incidence geometry, image consistency, probabilistic construction, algebraic construction, projective configuration}
}

Keywords: Incidence geometry, image consistency, probabilistic construction, algebraic construction, projective configuration
Collection: 34th International Symposium on Computational Geometry (SoCG 2018)
Issue Date: 2018
Date of publication: 08.06.2018

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