Discrete Welding on Riemann Surfaces

J'Lee Bumpus, G. Brock Williams

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish
Pages (from-to)1481-1493
Number of pages13
JournalComplex Analysis and Operator Theory
Issue number5
StatePublished - Oct 2013


  • Circle packing
  • Conformal
  • Moduli
  • Quasiconformal
  • Riemann surface
  • Teichmüller
  • Triangulation
  • Welding


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