Zusammenfassung für den Vortrag am 30.03.2022 (14:00 Uhr)

Seminar on Nonlinear Algebra

Elima Shehu (MPI MiS, Leipzig)
Line Multiview varieties

Consider the problem of \(3D\) reconstruction in Computer Vision. Given \(m\) images of a \(3D\) scene, the reconstruction process starts with identifying the corresponding sets of points and lines, on the \(m\) images. In this talk, I will give an algebraic understanding of line correspondences, I will describe the smallest algebraic set containing the image lines coming from the same line in \(3D\), namely the line multiview variety, as well as illustrate it with an example, using Macaulay2. This is joint work with Paul Breiding, Felix Rydell, and Angélica Torres.