论文标题

理性表面之间的投射同构

Projective isomorphisms between rational surfaces

论文作者

Jüttler, Bert, Lubbes, Niels, Schicho, Josef

论文摘要

我们提出了一种计算根据其参数化给出的有理表面之间的投射同构的方法。主要思想是通过修改参数图,以使所得地图的成分具有较低的程度,从而将这种投射同构的计算减少到五个基本情况。我们的方法可用于计算表面之间的仿射,欧几生和莫比乌斯同构。

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 Möbius isomorphisms between surfaces.

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