On tubular vs. swung surfaces

Authors
Recio, Tomás; Tabera, Luis Felipe; Villarino Cabellos, CarlosUniversity of Alcalá Author; Sendra Pons, Juan RafaelUniversity of Alcalá Author
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/23478
DOI: 10.1016/j.jsc.2014.12.003
ISSN: 0707-7171
ISSN: 1095-855X
Publisher
Elsevier
Date
2014
Affiliation
Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas
Funders
Ministerio de Ciencia e Innovación
Bibliographic citation
Journal of Symbolic Computation, 2016, v.72, p.55-64.
Keywords
Swung surface
Tubular surface
Description / Notes
Second and fourth authors are members of the research group ASYNACS (Ref. CCEE2011/R34)
Project
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
http://dx.doi.org/10.1016/j.jsc.2014.12.003
Rights
© Elsevier, 2014
Access rights
info:eu-repo/semantics/openAccess
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Abstract
We determine necessary and sufficient conditions for a tubular surface to be swung, and viceversa. From these characterizations, we derive two symbolic algorithms. The first one decides whether a given implicit equation, of a tubular surface, admits a swung parametrization and, in the affirmative case, it outputs such a parametrization. The second one decides whether a given swung surface parametrization is a tubular surface and, in the affirmative case, it outputs the implicit equation.
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