Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture
Algebraic Geometry
2025-03-27 v2
Abstract
The task of recognizing an algebraic surface from a single apparent contour can be reduced to the recovering of a homogeneous equation in four variables from its discriminant. In this paper, we use the fact that Darboux cyclides have a singularity along the absolute conic in order to recognize them up to Euclidean similarity transformations.
Cite
@article{arxiv.2208.05209,
title = {Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture},
author = {Eriola Hoxhaj and Jean Michel Menjanahary and Josef Schicho},
journal= {arXiv preprint arXiv:2208.05209},
year = {2025}
}
Comments
15 pages, 14 figures