Memorias de investigación
Artículos en revistas:
Offsets, Conchoids and Pedal Surfaces
Año:2014
Áreas de investigación
  • Matemáticas
Datos
Descripción
We discuss three geometric constructions and their relations, namely the offset, the conchoid and the pedal construction. The offset surface F d of a given surface F is the set of points at fixed normal distance d of F. The conchoid surface G d of a given surface G is obtained by increasing the radius function by d with respect to a given reference point O. There is a nice relation between offsets and conchoids: The pedal surfaces of a family of offset surfaces are a family of conchoid surfaces. Since this relation is birational, a family of rational offset surfaces corresponds to a family of rational conchoid surfaces and vice versa. We present theoretical principles of this mapping and apply it to ruled surfaces and quadrics. Since these surfaces have rational offsets and conchoids, their pedal and inverse pedal surfaces are new classes of rational conchoid surfaces and rational offset surfaces.
Internacional
Si
JCR del ISI
No
Título de la revista
Journal of Geometry
ISSN
0047-2468
Factor de impacto JCR
Información de impacto
Volumen
106
DOI
10.1007/s00022-014-0251-1
Número de revista
Desde la página
321
Hasta la página
339
Mes
SIN MES
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Martin Peternell
  • Autor: Lukas Gotthart
  • Autor: Juana Sendra Pons UPM
  • Autor: J.Rafael Sendra Pons
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)
  • Centro o Instituto I+D+i: Tecnologías del Software y Sistemas Multimedia para la Sostenibilidad (CITSEM)