Conchoid surfaces of spheres


Autoria(s): Peternell, Martin; Gruber, David; Sendra Pons, Juana
Data(s)

2013

Resumo

The conchoid of a surface F with respect to given xed point O is roughly speaking the surface obtained by increasing the radius function with respect to O by a constant. This paper studies conchoid surfaces of spheres and shows that these surfaces admit rational parameterizations. Explicit parameterizations of these surfaces are constructed using the relations to pencils of quadrics in R3 and R4. Moreover we point to remarkable geometric properties of these surfaces and their construction.

Formato

application/pdf

Identificador

http://oa.upm.es/30900/

Idioma(s)

spa

Publicador

E.U.I.T. Telecomunicación (UPM)

Relação

http://oa.upm.es/30900/1/Conchoid.pdf

http://www.sciencedirect.com/science/article/pii/S0167839612000830

info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cagd.2012.06.005

Direitos

(c) Editor/Autor

info:eu-repo/semantics/openAccess

Fonte

Computer Aided Geometric Design, ISSN 0167-8396, 2013, Vol. 30, No. 1

Palavras-Chave #Matemáticas
Tipo

info:eu-repo/semantics/article

Artículo

NonPeerReviewed