Parameterization of rational translational surfaces (Q2192388)

In this paper, the authors deals with translation surfaces. Rational translation surfaces are surfaces that can be rationally parametrized as the addition of two curve parametrizations. Therefore, the information on the surface lies on two rational curves contained in the surface. The authors solve algorithmically the problem of deciding whether an implicitely given rational surface is indeed a translation surface and, in the affirmative case, they find two rational curves on the surface such that its addition provides a parametrization of the surface.