Conchoid surfaces of spheres

Peternell, Martin and Gruber, David and Sendra Pons, Juana (2013). Conchoid surfaces of spheres. "Computer Aided Geometric Design", v. 30 (n. 1); pp. 35-44. ISSN 0167-8396. https://doi.org/10.1016/j.cagd.2012.06.005.

Description

Title: Conchoid surfaces of spheres
Author/s:
  • Peternell, Martin
  • Gruber, David
  • Sendra Pons, Juana
Item Type: Article
Título de Revista/Publicación: Computer Aided Geometric Design
Date: 2013
ISSN: 0167-8396
Volume: 30
Subjects:
Freetext Keywords: Proyecto: MTM2011-25816-C02-01; MTM2008-04699-C03-01; Research Group ASYNACS (Ref.CCEE2011/R34)
Faculty: E.U.I.T. Telecomunicación (UPM)
Department: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación [hasta 2014]
Creative Commons Licenses: None

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Abstract

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.

More information

Item ID: 30900
DC Identifier: http://oa.upm.es/30900/
OAI Identifier: oai:oa.upm.es:30900
DOI: 10.1016/j.cagd.2012.06.005
Official URL: http://www.sciencedirect.com/science/article/pii/S0167839612000830
Deposited by: Profesor Titular de Universidad Juana Sendra Pons
Deposited on: 15 Sep 2014 06:32
Last Modified: 04 Nov 2014 06:52
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