Conchoid surfaces of spheres
Data(s) |
2013
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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 | |
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 |