Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture
arXiv:2208.05209 · doi:10.1007/s00200-023-00600-y
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.
15 pages, 14 figures