Metric algebraic geometry combines concepts from algebraic geometry and differential
geometry. Building on classical foundations, it offers practical tools for the 21st century …

We present an algebraic study of line correspondences for pinhole cameras, in contrast to
the thoroughly studied point correspondences. We define the line multiview variety as the …

This paper studies the problem of recovering cameras from a set of fundamental matrices. A
set of fundamental matrices is said to be compatible if a set of cameras exists for which they …

We systematically compile an exhaustive catalogue of multiview varieties and anchored
multiview varieties arising from projections of points and lines in 1, 2, and 3-dimensional …

The viewing graph is a useful way to represent uncalibrated cameras and their geometric
relationships: nodes correspond to cameras and edges represent fundamental matrices. By …

We present an algebraic study of the projection of plane curves and twisted cubics in space
onto multiple images of pinhole cameras. The Zariski closure of the image of the projection …

The set of functions parameterized by a linear fully-connected neural network is a
determinantal variety. We investigate the subvariety of functions that are equivariant or …

Near Extensions and Alignment of Data in Rn Comprehensive resource illustrating the
mathematical richness of Whitney Extension Problems, enabling readers to develop new …

The block tensor of trifocal tensors provides crucial geometric information on the three-view
geometry of a scene. The underlying synchronization problem seeks to recover camera …

This article is a survey of results in algebraic vision and multiview geometry. The starting
point is the study of projective algebraic varieties which are critical for scene reconstruction …