Consistent Sets of Lines with no Colorful Incidence
Bukh, Boris, Xavier Goaoc, Alfredo Hubard, Matthew Trager · HAL (Le Centre pour la Communication Scientifique Directe) · 2018
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.