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Document
Consistent Sets of Lines with no Colorful Incidence

Authors: Boris Bukh, Xavier Goaoc, Alfredo Hubard, and Matthew Trager

Published in: LIPIcs, Volume 99, 34th International Symposium on Computational Geometry (SoCG 2018)


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.

Cite as

Boris Bukh, Xavier Goaoc, Alfredo Hubard, and Matthew Trager. Consistent Sets of Lines with no Colorful Incidence. In 34th International Symposium on Computational Geometry (SoCG 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 99, pp. 17:1-17:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)


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@InProceedings{bukh_et_al:LIPIcs.SoCG.2018.17,
  author =	{Bukh, Boris and Goaoc, Xavier and Hubard, Alfredo and Trager, Matthew},
  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 =	{Speckmann, Bettina and T\'{o}th, Csaba D.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2018.17},
  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}
}
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