Publication: Reparametrizing swung surfaces over the reals
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Publication Date
2014-04
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Springer
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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.