Classification of the relative positions between a hyperboloid and a sphere
Metric Geometry
2016-05-05 v2
Abstract
We characterize all possible relative positions between a hyperboloid of one sheet and a sphere through the roots of a characteristic polynomial associated to these quadrics. The classification is also suitable for a hyperboloid and a ellipsoid in some situations. As an application, this provides a method to detect contact between the two surfaces by a simple calculation in many real world applications.
Keywords
Cite
@article{arxiv.1602.06744,
title = {Classification of the relative positions between a hyperboloid and a sphere},
author = {M. Brozos-Vázquez and M. J. Pereira-Sáez and M. J. Souto-Salorio and Ana D. Tarrío-Tobar},
journal= {arXiv preprint arXiv:1602.06744},
year = {2016}
}
Comments
21 pages