Semantic Scholar
Open Access
2000
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Random Delaunay triangulations, the Thurston-Andreev theorem, and metric uniformization
Gregory Leibon
Abstrak
In this thesis a connection between the worlds of discrete and continuous conformal geometry is explored. Specifically, a disk pattern production theroem is proved using an energy which measures how ``uniform'' the angle data of a triangulation is, see also math.DG/0002150. Then this energy is averaged over all the Delaunay triangulation of a Riemannian surface to form an energy measuring how ``uniform'' a metric is, see also math.DG/0010316.
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Gregory Leibon
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- Tahun Terbit
- 2000
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- en
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- Semantic Scholar
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- Open Access ✓