Discrete Welding on Riemann Surfaces

Discrete Welding on Riemann Surfaces

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...

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Veröffentlicht in:Complex analysis and operator theory 2013-10, Vol.7 (5), p.1481-1493
Hauptverfasser: Bumpus, J’Lee, Brock Williams, G.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Zusammenfassung: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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-012-0220-3