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Reparametrizing swung surfaces over the reals

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Andradas Heranz, Carlos and Recio, Tomás and Sendra, J. Rafael and Tabera, Luis F. and Villarino, Carlos (2014) Reparametrizing swung surfaces over the reals. Applicable Algebra in Engineering, Communication and Computing, 25 (1-2). pp. 39-65. ISSN 0938-1279

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Official URL: http://link.springer.com/article/10.1007%2Fs00200-014-0215-6


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Abstract

Let be a computable subfield of the real numbers (for instance, ). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in , can be reparametrized over a real (i.e., embedded in ) finite field extension of . Swung surfaces include, in particular, surfaces of revolution.


Item Type:Article
Uncontrolled Keywords:Swung surfaces; Revolution surfaces; Real and complex surfaces; Rational parametrization; Ultraquadrics
Subjects:Sciences > Mathematics > Algebra
ID Code:25293
Deposited On:07 May 2014 09:14
Last Modified:20 May 2014 08:47

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