Reparametrizing Swung Surfaces over the Reals

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URI: http://hdl.handle.net/10902/5394
ISSN: 0938-1279
ISSN: 1432-0622
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Autoría
Andradas, Carlos; Recio Muñiz, TomásAutoridad Unican; Sendra Pons, Juan Rafael; Tabera Alonso, Luis FelipeAutoridad Unican; Villarino Cabellos, Carlos
Fecha
2014
Derechos
© Springer Berlin Heidelberg, 2014. The final publication is available at Springer via http://dx.doi.org/10.1007/s00200-014-0215-6
Publicado en
Applicable Algebra in Engineering, Communication and Computing, Vol. 25, Iss. 1-2 , pp 39-65, (2014)
Editorial
Springer Berlin Heidelberg
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Palabras clave
Swung surfaces
Revolution surfaces
Real and complex surfaces
Rational parametrization
Ultraquadrics
Resumen/Abstract
Let K⊆R be a computable subfield of the real numbers (for instance, Q). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in K(i), can be reparametrized over a real (i.e., embedded in R) finite field extension of K. Swung surfaces include, in particular, surfaces of revolution.
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