Theoretical and numerical analysis of 3d reconstruction using point and line incidences
We study the joint image of lines incident to points, meaning the set of image tuples obtained
from fixed cameras observing a varying 3D point-line incidence. We prove a formula for the …
from fixed cameras observing a varying 3D point-line incidence. We prove a formula for the …
A polyhedral homotopy algorithm for real zeros
We design a homotopy continuation algorithm, that is based on Viro's patchworking method,
for finding real zeros of sparse polynomial systems. The algorithm is targeted for polynomial …
for finding real zeros of sparse polynomial systems. The algorithm is targeted for polynomial …
The average condition number of most tensor rank decomposition problems is infinite
The tensor rank decomposition, or canonical polyadic decomposition, is the decomposition
of a tensor into a sum of rank-1 tensors. The condition number of the tensor rank …
of a tensor into a sum of rank-1 tensors. The condition number of the tensor rank …