Euclidean distance degree of the multiview variety
arXiv:1812.05648
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.
Euclidean distance degree, multiview variety, triangulation problem, non-proper Morse theory, Euler-Poincare characteristic, local Euler obstruction