In this survey article, we present interactions between algebraic geometry and computer
vision, which have recently come under the header of algebraic vision. The subject has …

This paper presents a fast and parsimonious parsing method to accurately and robustly
detect a vectorized wireframe in an input image with a single forward pass. The proposed …

We present an approach to solving hard geometric optimization problems in the RANSAC
framework. The hard minimal problems arise from relaxing the original geometric …

Epipolar constraints are at the core of feature matching and depth estimation in current multi-
person multi-camera 3D human pose estimation methods. Despite the satisfactory …

We present novel solutions to previously unsolved problems of relative pose estimation from
images whose calibration parameters, namely focal lengths and radial distortion, are …

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

We study the joint image of lines incident to points, meaning the set of image tuples obtained
from fixed cameras observing a varying 3D point-line incidence. We prove a formula for the …

In this paper we present four cases of minimal solutions for two-view relative pose estimation
by exploiting the affine transformation between feature points and we demonstrate efficient …

For a generalized (or non-central) camera model, the minimal problem for two views of six
points has efficient solvers. However, minimal problems of three views with four points and …

Studying the set of exact solutions of a system of polynomial equations largely depends on a
single iterative algorithm, known as Buchberger's algorithm. Optimized versions of this …