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Consistent Sets of Lines with no Colorful Incidence

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

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Boris Bukh
Xavier Goaoc
Alfredo Hubard
Matthew Trager

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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)
https://doi.org/10.4230/LIPIcs.SoCG.2018.17

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.
Keywords
  • Incidence geometry
  • image consistency
  • probabilistic construction
  • algebraic construction
  • projective configuration

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