Cissoid constructions of augmented rational ruled surfaces
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/45127DOI: 10.1016/j.cagd.2017.12.001
ISSN: 0167-8396
Publisher
Elsevier
Date
2018-02Funders
Ministerio de Economía y Competitividad
Bibliographic citation
Sendra, J.R., Peternell, M. & Sendra, J. 2018, “Cissoid constructions of augmented rational ruled surfaces”, Computer Aided Geometric Design, vol.
60, pp. 1-9
Keywords
Rational surface
Ruled surface
Steiner surfaces
Augmented surface
Cissoid
Symbolic computation
Description / Notes
J.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683)
Project
info:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.cagd.2017.12.001Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2018 Elsevier
Access rights
info:eu-repo/semantics/openAccess
Abstract
Given two real affine rational surfaces we derive a criterion for deciding the rationality of their cissoid. Furthermore, when one of the surfaces is augmented ruled and the other is either an augmented ruled or an augmented Steiner surface, we prove that the cissoid is rational. Furthermore, given rational parametrizations of the surfaces, we provide a rational parametrization of the cissoid.
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