Euclidean distance degree of the multiview variety
Algebraic Geometry
2018-12-17 v1 Algebraic Topology
Abstract
The Euclidean distance degree of an algebraic variety is a well-studied topic in applied algebra and geometry. It has direct applications in geometric modeling, computer vision, and statistics. We use non-proper Morse theory to give a topological interpretation of the Euclidean distance degree of an affine variety in terms of Euler characteristics. As a concrete application, we solve the open problem in computer vision of determining the Euclidean distance degree of the affine multiview variety.
Keywords
Cite
@article{arxiv.1812.05648,
title = {Euclidean distance degree of the multiview variety},
author = {Laurentiu G. Maxim and Jose Israel Rodriguez and Botong Wang},
journal= {arXiv preprint arXiv:1812.05648},
year = {2018}
}
Comments
Euclidean distance degree, multiview variety, triangulation problem, non-proper Morse theory, Euler-Poincare characteristic, local Euler obstruction