Conformal flattening by curvature prescription and metric scaling

Mirela Ben-Chen, Craig Gotsman, Guy Bunin

Research output: Contribution to journalConference articlepeer-review

131 Scopus citations

Abstract

We present an efficient method to conformally parameterize 3D mesh data sets to the plane. The idea behind our method is to concentrate all the 3D curvature at a small number of select mesh vertices, called cone singularities, and then cut the mesh through those singular vertices to obtain disk topology. The singular vertices are chosen automatically. As opposed to most previous methods, our flattening process involves only the solution of linear systems of Poisson equations, thus is very efficient. Our method is shown to be faster than existing methods, yet generates parameterizations having comparable quasi-conformal distortion.

Original languageEnglish (US)
Pages (from-to)449-458
Number of pages10
JournalComputer Graphics Forum
Volume27
Issue number2
DOIs
StatePublished - 2008
Externally publishedYes
Event29th Annual Conference on European Association for Computer Graphics, EUROGRAPHICS 2008 - Crete, Greece
Duration: Apr 14 2008Apr 18 2008

All Science Journal Classification (ASJC) codes

  • Computer Graphics and Computer-Aided Design

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