A Computer Vision Problem in Flatland
Algebraic Geometry
2025-01-13 v2
Abstract
When is it possible to project two sets of labeled points lying in a pair of projective planes to the same image on a projective line? We give a complete answer to this question and describe the loci of the projection centers that enable a common image. In particular, we find that there exists a solution to this problem if and only if these two sets are themselves images of a common pointset in projective space.
Keywords
Cite
@article{arxiv.2501.05429,
title = {A Computer Vision Problem in Flatland},
author = {Sameer Agarwal and Erin Connelly and Annalisa Crannell and Timothy Duff and Rekha R. Thomas},
journal= {arXiv preprint arXiv:2501.05429},
year = {2025}
}