1 citations · 1 across the 5 of their papers we have counts for
5 papers
Efficient Solution of Point-Line Absolute Pose
Petr Hruby, Timothy Duff, Marc Pollefeys
We revisit certain problems of pose estimation based on 3D--2D correspondences between features which may be points or lines. Specifically, we address the two previously-studied mi…
Subalgebra and Khovanskii bases equivalence
Colin Alstad, Michael Burr, Oliver Clarke +1
The main results of this paper establish a partial correspondence between two previously-studied analogues of Groebner bases in the setting of algebras: namely, subalgebra (aka SAG…
Metric Multiview Geometry -- a Catalogue in Low Dimensions
Timothy Duff, Felix Rydell
We systematically compile an exhaustive catalogue of multiview varieties and anchored multiview varieties arising from projections of points and lines in 1, 2, and 3-dimensional pr…
Algebra and Geometry of Camera Resectioning
Erin Connelly, Timothy Duff, Jessie Loucks-Tavitas
We study algebraic varieties associated with the camera resectioning problem. We characterize these resectioning varieties' multigraded vanishing ideals using Gröbner basis techniq…
Geometric Solution to the Angles-Only Initial Orbit Determination Problem
Michela Mancini, Timothy Duff, Anton Leykin +1
Initial orbit determination (IOD) from line-of-sight (i.e., bearing) measurements is a classical problem in astrodynamics. Indeed, there are many well-established methods for perfo…