Global parametrization by incremental flattening

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Global parametrization by incremental flattening
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. CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—[Geometric algorithms, languages, and systems];
Ashish Myles, Denis Zorin
Added 28 Sep 2012
Updated 28 Sep 2012
Type Journal
Year 2012
Where TOG
Authors Ashish Myles, Denis Zorin
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