We present a method for computing projective isomorphisms between rational surfaces that are given in terms of their parametrizations. The main idea is to reduce the computation of such projective isomorphisms to five base cases by modifying the parametric maps such that the components of the resulting maps have lower degree. Our method can be used to compute affine, Euclidean and M\"obius isomorphisms between surfaces.

中文翻译：

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有理曲面之间的投影同构

我们提出了一种计算有理曲面之间的射影同构的方法，这些曲面根据它们的参数化给出。主要思想是通过修改参数映射来将这种投影同构的计算减少到五个基本情况，从而使结果映射的分量具有较低的度数。我们的方法可用于计算表面之间的仿射、欧几里得和 M\"obius 同构。