Classification of the relative positions between an ellipsoid and an elliptic paraboloid
Computational Geometry
2018-06-19 v1 Algebraic Geometry
Abstract
We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid ({\it small} meaning that the ellipsoid cannot be tangent to the paraboloid at two points simultaneously). This provides an easy way to detect contact between the two surfaces by a direct analysis of the coefficients of a fourth degree polynomial.
Keywords
Cite
@article{arxiv.1806.06805,
title = {Classification of the relative positions between an ellipsoid and an elliptic paraboloid},
author = {Miguel Brozos-Vázquez and María José Pereira-Sáez and María José Souto-Salorio and Ana D. Tarrío-Tobar},
journal= {arXiv preprint arXiv:1806.06805},
year = {2018}
}