47 citations · 232 across the 39 of their papers we have counts for
5 papers · 1 filter
Average degree of the essential variety
Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero +1
The essential variety is an algebraic subvariety of dimension in real projective space which encodes the relative pose of two calibrated pinhole camera…
Real circles tangent to 3 conics
Paul Breiding, Julia Lindberg, Wern Juin Gabriel Ong +1
In this paper we study circles tangent to conics. We show there are generically complex circles tangent to three conics in the plane and we characterize the real discriminant…
The Algebraic Degree of Coupled Oscillators
Paul Breiding, Mateusz Michałek, Leonid Monin +1
Approximating periodic solutions to the coupled Duffing equations amounts to solving a system of polynomial equations. The number of complex solutions measures the algebraic comple…
Critical Curvature of Algebraic Surfaces in Three-Space
Paul Breiding, Kristian Ranestad, Madeleine Weinstein
We study the curvature of a smooth algebraic surface of degree from the point of view of algebraic geometry. More precisely, we consider umbilical points…
Line Multiview Varieties
Paul Breiding, Felix Rydell, Elima Shehu +1
We present an algebraic study of line correspondences for pinhole cameras, in contrast to the thoroughly studied point correspondences. We define the line multiview variety as the…