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Conchoid surfaces of spheres
Citation
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: |
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| 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 |
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 |
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| 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 |
