2017/07/28 by Max Lieblich, Lieblich, Max, Lucas Van Meter +1
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #cs.CV #math.AG
paper · pdf · doi:10.48550/arxiv.1707.09332
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
arxiv created 2020/01/07 · arxiv updated 2020/01/09
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.