47 citations · 232 across the 39 of their papers we have counts for
5 papers · 1 filter
Reach of Segre-Veronese Manifolds
Paul Breiding, Sarah Eggleston
We compute the reach, extremal curvature and volume of a tubular neighborhood for the Segre-Veronese variety intersected with the unit sphere.
Khovanskii bases for semimixed systems of polynomial equations -- a case of approximating stationary nonlinear Newtonian dynamics
Viktoriia Borovik, Paul Breiding, Javier del Pino +2
We provide an approach to counting roots of polynomial systems, where each polynomial is a general linear combination of prescribed, fixed polynomials. Our tools rely on the theory…
Line Multiview Ideals
Paul Breiding, Timothy Duff, Lukas Gustafsson +2
We study the following problem in computer vision from the perspective of algebraic geometry: Using pinhole cameras we take pictures of a line in . This produc…
A short proof for the parameter continuation theorem
Viktoriia Borovik, Paul Breiding
The Parameter Continuation Theorem is the theoretical foundation for polynomial homotopy continuation, which is one of the main tools in computational algebraic geometry. In this n…
Numerical Nonlinear Algebra
Daniel J. Bates, Paul Breiding, Tianran Chen +3
Numerical nonlinear algebra is a computational paradigm that uses numerical analysis to study polynomial equations. Its origins were methods to solve systems of polynomial equation…