79 citations · 407 across the 53 of their papers we have counts for
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Probabilistic Saturations and Alt's Problem
Jonathan D. Hauenstein, Martin Helmer
Alt's problem, formulated in 1923, is to count the number of four-bar linkages whose coupler curve interpolates nine general points in the plane. This problem can be phrased as cou…
On computing the nonlinearity interval in parametric semidefinite optimization
Jonathan D. Hauenstein, Ali Mohammad-Nezhad, Tingting Tang +1
This paper revisits the parametric analysis of semidefinite optimization problems with respect to the perturbation of the objective function along a fixed direction. We review the…
A numerical toolkit for multiprojective varieties
Jonathan D. Hauenstein, Anton Leykin, Jose Israel Rodriguez +1
A numerical description of an algebraic subvariety of projective space is given by a general linear section, called a witness set. For a subvariety of a product of projective space…
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…