Classification of the relative positions between a hyperboloid and a sphere
Miguel Brozos‐Vázquez, María José Pereira-Sáez, Marı́a José Souto Salorio, Ana D. Tarrío-Tobar · arXiv (Cornell University) · 2016
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.