160 citations · 693 across the 40 of their papers we have counts for
11 papers · 1 filter
Lines, Quadrics, and Cremona Transformations in Two-View Geometry
Erin Connelly, Rekha R. Thomas, Cynthia Vinzant
Given points , we characterize rank deficiency of the matrix with rows $x_i^\top \otimes y_i^\t…
The Geometry of Rank Drop in a Class of Face-Splitting Matrix Products
Erin Connelly, Sameer Agarwal, Alperen Ergur +1
Given points , we characterize rank deficiency of the matrix with rows in…
The Chiral Domain of a Camera Arrangement
Sameer Agarwal, Andrew Pryhuber, Rainer Sinn +1
We introduce the chiral domain of an arrangement of cameras which is the subset of visible in . It generalizes the cl…
The Euclidean distance degree of an algebraic variety
Jan Draisma, Emil Horobet, Giorgio Ottaviani +2
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low rank matrices, the Eckart-Young Th…
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…
Moduli of McKay quiver representations II: Groebner basis techniques
Alastair Craw, Diane Maclagan, Rekha R. Thomas
In this paper we introduce several computational techniques for the study of moduli spaces of McKay quiver representations, making use of Groebner bases and toric geometry. For a f…