Resumen de Computing the relative position of a parabola and an ellipse without intersecting them

Jorge Caravantes Tortajada, Gema María Díaz Toca, Mario Alfredo Fioravanti Villanueva, Laureano González Vega

• 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) .