Comparing shapes of high genus surfaces

23 Oct 2020 Luo Yanwen

In this paper, we define a new metric structure on the shape space of a high genus surface. We introduce a rigorous definition of a shape of a surface and construct a metric based on two energies measuring the area distortion and the angle distortion of a quasiconformal homeomorphism... (read more)

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Categories


  • DIFFERENTIAL GEOMETRY
  • METRIC GEOMETRY