12 citations · 13 across the 5 of their papers we have counts for
5 papers
QuadSync: Quadrifocal Tensor Synchronization via Tucker Decomposition
Daniel Miao, Gilad Lerman, Joe Kileel
In structure from motion, quadrifocal tensors capture more information than their pairwise counterparts (essential matrices), yet they have often been thought of as impractical and…
A clever elimination strategy for efficient minimal solvers
Zuzana Kukelova, Joe Kileel, Bernd Sturmfels +1
We present a new insight into the systematic generation of minimal solvers in computer vision, which leads to smaller and faster solvers. Many minimal problem formulations are coup…
Minimal Problems for the Calibrated Trifocal Variety
Joe Kileel
We determine the algebraic degree of minimal problems for the calibrated trifocal variety in computer vision. We rely on numerical algebraic geometry and the homotopy continuation…
Distortion Varieties
Joe Kileel, Zuzana Kukelova, Tomas Pajdla +1
The distortion varieties of a given projective variety are parametrized by duplicating coordinates and multiplying them with monomials. We study their degrees and defining equation…
Rigid Multiview Varieties
Michael Joswig, Joe Kileel, Bernd Sturmfels +1
The multiview variety from computer vision is generalized to images by cameras of points linked by a distance constraint. The resulting five-dimensional variety lives in a prod…