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.

翻译：我们提出了一种方法,用于计算以其对称法表示的理性表面之间的投影异形。主要的想法是修改参数图,使产生的地图各组成部分程度较低,从而将这种投影异形的计算减少到五个基本情况。我们的方法可以用来计算表面之间的等离子、Euclidean和M\“obius”异形。