Conformal Flattening by Curvature Prescription and Metric Scaling

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dc.contributor.authorBen-Chen, Mirelaen_US
dc.contributor.authorGotsman, Craigen_US
dc.contributor.authorBunin, Guyen_US
dc.date.accessioned2015-02-21T16:19:08Z
dc.date.available2015-02-21T16:19:08Z
dc.date.issued2008en_US
dc.description.abstractWe 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.en_US
dc.description.number2en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume27en_US
dc.identifier.doi10.1111/j.1467-8659.2008.01142.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages449-458en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2008.01142.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleConformal Flattening by Curvature Prescription and Metric Scalingen_US
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