Two Hilbert schemes in computer vision
This work provides theoretical foundations for computer vision applications, but appears incremental as it builds on prior research.
The paper tackled multiview moduli problems in computer vision by proving that these spaces are smooth and irreducible for any number of views, and extended the twisted pair covering of the essential variety.
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.