Discrete Welding on Riemann Surfaces

J'Lee Bumpus; G. Brock Williams

doi:10.1007/s11785-012-0220-3

Discrete Welding on Riemann Surfaces

J'Lee Bumpus, G. Brock Williams

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The process of conformal welding had been investigated for nearly 50 years. In recent years welding has drawn increased interest with applications ranging from image recognition to string theory. We describe a discrete form of conformal welding for Riemann surfaces using circle packings and show how it can be used to approximate a continuous welding.

Original language	English
Pages (from-to)	1481-1493
Number of pages	13
Journal	Complex Analysis and Operator Theory
Volume	7
Issue number	5
DOIs	https://doi.org/10.1007/s11785-012-0220-3
State	Published - Oct 2013

Keywords

Circle packing
Conformal
Moduli
Quasiconformal
Riemann surface
Teichmüller
Triangulation
Welding

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10.1007/s11785-012-0220-3

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abstract = "The process of conformal welding had been investigated for nearly 50 years. In recent years welding has drawn increased interest with applications ranging from image recognition to string theory. We describe a discrete form of conformal welding for Riemann surfaces using circle packings and show how it can be used to approximate a continuous welding.",

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