Consistent sets of lines with no colorful incidence

16 Mar 2018  ·  Boris Bukh, Xavier Goaoc, Alfredo Hubard, Matthew Trager ·

We consider incidences among colored sets of lines in $\mathbb{R}^d$ 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.

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