Global parametrization by incremental flattening

Ashish Myles, Denis Zoriny

Research output: Contribution to journalArticlepeer-review

58 Citations (Scopus)


Global parametrization of surfaces requires singularities (cones) to keep distortion minimal. We describe a method for finding cone locations and angles and an algorithm for global parametrization which aim to produce seamless parametrizations with low metric distortion. The idea of the method is to evolve the metric of the surface, starting with the original metric so that a growing fraction of the area of the surface is constrained to have zero Gaussian curvature; the curvature becomes gradually concentrated at a small set of vertices which become cones. We demonstrate that the resulting parametrizations have significantly lower metric distortion compared to previously proposed methods.

Original languageEnglish
Article number109
JournalACM Transactions on Graphics
Issue number4
Publication statusPublished - Jul 2012
Externally publishedYes


  • Geometric modeling
  • Parametrization


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