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.