1 citations · 1 across the 4 of their papers we have counts for
4 papers
Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras
Colin Alstad, Timothy Duff, Mordechai Katzman
Motivated by applications of algebraic geometry to reconstruction problems in computer vision, we initiate a study of the equations of degeneracy loci associated with linearly depe…
A Computer Vision Problem in Flatland
Sameer Agarwal, Erin Connelly, Annalisa Crannell +2
When is it possible to project two sets of labeled points lying in a pair of projective planes to the same image on a projective line? We give a complete answer to this question an…
Certified homotopy tracking using the Krawczyk method
Timothy Duff, Kisun Lee
We revisit the problem of certifying the correctness of approximate solution paths computed by numerical homotopy continuation methods. We propose a conceptually simple approach ba…
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…