4 papers
Triangulation of Points Constrained to a Plane
Petr Hrubý, Elima Shehu
We study the set of image tuples arising from fixed cameras observing varying planar 3-dimensional point configurations. We derive a formula for the number of complex critical poin…
SAGBI and Gröbner Bases Detection
Viktoriia Borovik, Timothy Duff, Elima Shehu
We introduce a detection algorithm for SAGBI basis in polynomial rings, analogous to a Gröbner basis detection algorithm previously proposed by Gritzmann and Sturmfels. We also pre…
Theoretical and Numerical Analysis of 3D Reconstruction Using Point and Line Incidences
Felix Rydell, Elima Shehu, Angelica Torres
We study the joint image of lines incident to points, meaning the set of image tuples obtained from fixed cameras observing a varying 3D point-line incidence. We prove a formula fo…
Line Multiview Ideals
Paul Breiding, Timothy Duff, Lukas Gustafsson +2
We study the following problem in computer vision from the perspective of algebraic geometry: Using pinhole cameras we take pictures of a line in . This produc…