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

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

dc.contributor.author	Caravantes Tortajada, Jorge
dc.contributor.author	Díaz Toca, Gema María
dc.contributor.author	Fioravanti Villanueva, Mario Alfredo
dc.contributor.author	González Vega, Laureano
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2024-03-22T18:34:43Z
dc.date.available	2024-03-22T18:34:43Z
dc.date.issued	2023
dc.identifier.isbn	9788419647467
dc.identifier.other	PID2020-113192GB-I00	es_ES
dc.identifier.uri	https://hdl.handle.net/10902/32435
dc.description.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).	es_ES
dc.description.sponsorship	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).	es_ES
dc.format.extent	4 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Publicacions de la Universitat Jaume I	es_ES
dc.rights	Attribution 4.0 International	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.source	EACA 2022. XVII Encuentro de Álgebra Computacional y Aplicaciones, Publicacions de la Universitat Jaume I, 2023	es_ES
dc.title	Computing the relative position of a parabola and an ellipse without intersecting them	es_ES
dc.type	info:eu-repo/semantics/conferenceObject	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.type.version	publishedVersion	es_ES