%0 Journal Article %A Andradas Heranz, Carlos %A Recio, Tomas %A Tabera, Luis F. %A Sendra, J. Rafael %T On the simplification of the coefficients of a parametrization %D 2009 %@ 0747-7171 %U https://hdl.handle.net/20.500.14352/42076 %X Let 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. %~