Two Hilbert schemes in computer vision
Algebraic Geometry
2020-01-09 v6 Computer Vision and Pattern Recognition
Abstract
We study multiview moduli problems that arise in computer vision. We show that these moduli spaces are always smooth and irreducible, in both the calibrated and uncalibrated cases, for any number of views. We also show that these moduli spaces always admit open immersions into Hilbert schemes for more than two views, extending and refining work of Aholt-Sturmfels-Thomas. We use these moduli spaces to study and extend the classical twisted pair covering of the essential variety.
Cite
@article{arxiv.1707.09332,
title = {Two Hilbert schemes in computer vision},
author = {Max Lieblich and Lucas Van Meter},
journal= {arXiv preprint arXiv:1707.09332},
year = {2020}
}
Comments
Shortened version, to appear in SIAGA. Note that theorem, etc., numbering is different in published version than it is here. Corrected notational error in Notation 3.2 and Proposition 3.3, enhanced reference capitalization