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Abstract: We determine necessary and sufficient conditions for a tubular surface to be swung, and vice versa. 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. © 2014 Elsevier Ltd.
Fuente: JournalofSymbolicComputation72 (2016) 55-64
Publisher: Academic Press
Publication date: 01/01/2016
No. of pages: 10
Publication type: Article
DOI: 10.1016/j.jsc.2014.12.003
ISSN: 0747-7171,1095-855X
Spanish project: MTM2011-25816-C02-(01,02)
Publication Url: https://doi.org/10.1016/j.jsc.2014.12.003
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TOMAS JESUS RECIO MUÑIZ
JUAN RAFAEL SENDRA PONS
LUIS FELIPE TABERA ALONSO
VILLARINO CABELLOS, CARLOS
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