3 citations · 4 across the 7 of their papers we have counts for
8 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…
A note on the rate of convergence of integration schemes for closed surfaces
Gentian Zavalani, Elima Shehu, Michael Hecht
In this paper, we issue an error analysis for integration over discrete surfaces using the surface parametrization presented in [PS22] as well as prove why even-degree polynomials…
Average degree of the essential variety
Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero +1
The essential variety is an algebraic subvariety of dimension in real projective space which encodes the relative pose of two calibrated pinhole camera…
Computing algebraic degrees of phylogenetic varieties
Luis David Garcia Puente, Marina Garrote-López, Elima Shehu
A phylogenetic variety is an algebraic variety parameterized by a statistical model of the evolution of biological sequences along a tree. Understanding this variety is an importan…
Line Multiview Varieties
Paul Breiding, Felix Rydell, Elima Shehu +1
We present an algebraic study of line correspondences for pinhole cameras, in contrast to the thoroughly studied point correspondences. We define the line multiview variety as the…