Andradas Heranz, CarlosRecio, TomasTabera, Luis F.Sendra, J. Rafael2023-06-202023-06-2020090747-717110.1016/j.jsc.2008.09.001https://hdl.handle.net/20.500.14352/42076Let K subset of R be a computable field. We present an algorithm to decide whether a proper rational parametrization of a ruled surface, with coefficients in K((i), can be properly reparametrized over a real (i.e. embedded in R) finite field extension of K. Moreover, in the affirmative case, the algorithm provides a proper parametrization with coefficients in a real extension of K of degree at most 2.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0747717108001338http://www.sciencedirect.comrestricted access512.7Parametric varietiesField of definitionSimplification of parametrizationsGeometria algebraica1201.01 Geometría Algebraica