45 citations · 106 across the 9 of their papers we have counts for
10 papers
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…
An Atlas for the Pinhole Camera
Sameer Agarwal, Timothy Duff, Max Lieblich +1
We introduce an atlas of algebro-geometric objects associated with image formation in pinhole cameras. The nodes of the atlas are algebraic varieties or their vanishing ideals rela…
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…
Ideals of the Multiview Variety
Sameer Agarwal, Andrew Pryhuber, Rekha Thomas
The multiview variety of an arrangement of cameras is the Zariski closure of the images of world points in the cameras. The prime vanishing ideal of this complex projective variety…
On the local stability of semidefinite relaxations
Diego Cifuentes, Sameer Agarwal, Pablo A. Parrilo +1
We consider a parametric family of quadratically constrained quadratic programs (QCQP) and their associated semidefinite programming (SDP) relaxations. Given a nominal value of the…
On the Existence of Epipolar Matrices
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels +1
This paper considers the foundational question of the existence of a fundamental (resp. essential) matrix given point correspondences in two views. We present a complete answer…