Memorias de investigación
Ponencias en congresos:
Rational Conchoid and Offset Constructions: Algorithms and Implementation
Año:2014
Áreas de investigación
  • Matemáticas,
  • Ingenierías
Datos
Descripción
This paper is framed within the problem of analyzing the rationality of the components of two classical geometric constructions, namely the offset and the conchoid to an algebraic plane curve and, in the affirmative case, the actual computation of parametrizations. We recall some of the basic definitions and main properties on offsets (see [13]), and conchoids (see [15]) as well as the algorithms for parametrizing their rational components (see [1] and [16], respectively). Moreover, we implement the basic ideas creating two packages in the computer algebra system Maple to analyze the rationality of conchoids and offset curves, as well as the corresponding help pages. In addition, we present a brief atlas where the offset and conchoids of several algebraic plane curves are obtained, their rationality analyzed, and parametrizations are provided using the created packages.
Internacional
Si
Nombre congreso
12th International Conference on Artificial Intelligence and Symbolic Computation AISC 2014
Tipo de participación
960
Lugar del congreso
Sevilla, España
Revisores
Si
ISBN o ISSN
978-3-319-13769-8
DOI
10.1007/978-3-319-13770-4_15
Fecha inicio congreso
11/12/2014
Fecha fin congreso
13/12/2014
Desde la página
168
Hasta la página
179
Título de las actas
12th International Conference, AISC 2014, Seville, Spain, December 11-13, 2014. Proceedings - 884 - Lecture Notes in Computer Science - Springer
Esta actividad pertenece a memorias de investigación
Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Grupo de Redes y Servicios de Próxima Generación (GRyS)
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones
  • Centro o Instituto I+D+i: Tecnologías del Software y Sistemas Multimedia para la Sostenibilidad (CITSEM)