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Comparing Shapes of High Genus Surfaces by Luo, Yanwen is a scholarly article available to read on EtoBox.

What is Comparing Shapes of High Genus Surfaces about?

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. We show that the energy minimizer in a fixed homotopy class is achieved by a quasiconformal homeomorphism by the lower semicontinuity property of these two energies.

Author

Luo, Yanwen

Published

2019

Language

EN