@conference{10902/32435,
year = {2023},
url = {https://hdl.handle.net/10902/32435},
abstract = {Efficient methods to determine the relative position of two conics are of great interest for applications in robotics, computer animation, CAGD and other areas. We present a method to obtain the relative position of a parabola and an ellipse directly from the coefficients of their implicit equations, even if they are not given in canonical form, and avoiding the computation of the corresponding intersection points (and their characteristics).},
organization = {The authors have been partially supported by the grant PID2020-113192GBIO0/
AEI/10.13039/501100011033 (Mathematical Visualization: Foundations, Algorithms and Applications)
from the Spanish State Research Agency (Ministerio de Ciencia e Innovación).},
publisher = {Publicacions de la Universitat Jaume I},
publisher = {EACA 2022. XVII Encuentro de Álgebra Computacional y Aplicaciones, Publicacions de la Universitat Jaume I, 2023},
title = {Computing the relative position of a parabola and an ellipse without intersecting them},
author = {Caravantes Tortajada, Jorge and Díaz Toca, Gema María and Fioravanti Villanueva, Mario Alfredo and González Vega, Laureano},
}