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19972026
most citedThe Deformation Space of Geodesic Triangulations and Generalized Tutte's Embedding Theorem

6 citations · 12 across the 15 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.GT2019

Spaces of Geodesic Triangulations of Surfaces

Yanwen Luo

We give a short proof of the contractibility of the space of geodesic triangulations with fixed combinatorial type of a convex polygon in the Euclidean plane. Moreover, for any $n>…

math.DG2019

Comparing shapes of high genus surfaces

Yanwen Luo

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…