6 citations · 9 across the 5 of their papers we have counts for
8 papers
Common Real Secants to Pairs of Real Twisted Cubic Curves
Saima Aslam, Matthew Faust, Jonathan D. Hauenstein +5
It is well established that a general pair of twisted cubic curves in complex projective space has ten common secant lines. As an initial investigation, we show that the monodromy…
Using monodromy to recover symmetries of polynomial systems
Timothy Duff, Viktor Korotynskiy, Tomas Pajdla +1
Galois/monodromy groups attached to parametric systems of polynomial equations provide a method for detecting the existence of symmetries in solution sets. Beyond the question of e…
A numerical method for solving elliptic equations on real closed algebraic curves and surfaces
Wenrui Hao, Jonathan D. Hauenstein, Margaret H. Regan +1
There are many numerical methods for solving partial different equations (PDEs) on manifolds such as classical implicit, finite difference, finite element, and isogeometric analysi…
Galois/monodromy groups for decomposing minimal problems in 3D reconstruction
Timothy Duff, Viktor Korotynskiy, Tomas Pajdla +1
We consider Galois/monodromy groups arising in computer vision applications, with a view towards building more efficient polynomial solvers. The Galois/monodromy group allows us to…
Machine learning the real discriminant locus
Edgar A. Bernal, Jonathan D. Hauenstein, Dhagash Mehta +2
Parameterized systems of polynomial equations arise in many applications in science and engineering with the real solutions describing, for example, equilibria of a dynamical syste…
Real monodromy action
Jonathan D. Hauenstein, Margaret H. Regan
The monodromy group is an invariant for parameterized systems of polynomial equations that encodes structure of the solutions over the parameter space. Since the structure of real…
Trifocal Relative Pose from Lines at Points and its Efficient Solution
Ricardo Fabbri, Timothy Duff, Hongyi Fan +8
We present a method for solving two minimal problems for relative camera pose estimation from three views, which are based on three view correspondences of i) three points and one…
Adaptive strategies for solving parameterized systems using homotopy continuation
Jonathan D. Hauenstein, Margaret H. Regan
Three aspects of applying homotopy continuation, which is commonly used to solve parameterized systems of polynomial equations, are investigated. First, for parameterized systems w…