Por favor, use este identificador para citar o enlazar este ítem:
https://doi.org/10.1007/978-3-031-38271-0_46
Twittear
Título: | Avoiding the general position condition whencomputing the topology of a real algebraic planecurve defined implicitly |
Fecha de publicación: | 2023 |
Editorial: | Springer Nature |
Materias relacionadas: | CDU::6 - Ciencias aplicadas::62 - Ingeniería. Tecnología |
Palabras clave: | Topology of curves Subresultants Singular points |
Resumen: | The problem of computing the topology of curves has re-ceived special attention from both Computer Aided Geometric Designand Symbolic Computation. It is well known that the general positioncondition simplifies the computation of the topology of a real algebraicplane curve defined implicitly since, under this assumption, singularpoints can be presented in a very convenient way for that purpose. Herewe will show how the topology of cubic, quartic and quintic plane curvescan be computed in the same manner even if the curve is not in gen-eral position, avoiding thus coordinate changes. This will be possibleby applying new formulae, derived from subresultants, which describemultiple roots of univariate polynomials as rational functions of the con-sidered polynomial coefficients. We will also characterize those higherdegree curves where this approach can be used and use this technique todescribe the curve arising when intersecting two ellipsoids. |
Autor/es principal/es: | Caravantes, Jorge Gema M., Diaz–Toca Gonzalez–Vega, Laureano |
Facultad/Departamentos/Servicios: | Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Matemática Aplicada |
Forma parte de: | 6th International Conference, GSI 2023 |
URI: | http://hdl.handle.net/10201/137741 |
DOI: | https://doi.org/10.1007/978-3-031-38271-0_46 |
Tipo de documento: | info:eu-repo/semantics/lecture info:eu-repo/semantics/lecture |
Número páginas / Extensión: | 9 |
Derechos: | info:eu-repo/semantics/embargoedAccess |
Descripción: | The Author(s), under exclusive license to Springer Nature Switzerland AG 2023F. Nielsen and F. Barbaresco (Eds.): GSI 2023, LNCS 14071, pp. 465–473, 2023.https://doi.org/10.1007/978-3-031-38271-0_46 Publicadas en cerrado |
Aparece en las colecciones: | Ponencias y comunicaciones: Ingeniería y Tecnología de Computadores |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
Avoiding the general position (versión editor).pdf | 194 kB | Adobe PDF | Visualizar/Abrir Solicitar una copia |
Los ítems de Digitum están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.