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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…
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…