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math.AG2012★ 46 cited
The ideal of the trifocal variety
Chris Aholt, Luke Oeding
Techniques from representation theory, symbolic computational algebra, and numerical algebraic geometry are used to find the minimal generators of the ideal of the trifocal variety…
math.AG2011★ 41 cited
A Hilbert Scheme in Computer Vision
Chris Aholt, Bernd Sturmfels, Rekha Thomas
Multiview geometry is the study of two-dimensional images of three-dimensional scenes, a foundational subject in computer vision. We determine a universal Groebner basis for the mu…