Conformal Flattening by Curvature Prescription and Metric Scaling
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Date
2008
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd
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.
Description
@article{10.1111:j.1467-8659.2008.01142.x,
journal = {Computer Graphics Forum},
title = {{Conformal Flattening by Curvature Prescription and Metric Scaling}},
author = {Ben-Chen, Mirela and Gotsman, Craig and Bunin, Guy},
year = {2008},
publisher = {The Eurographics Association and Blackwell Publishing Ltd},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2008.01142.x}
}