Multiresolution analysis of arbitrary meshes
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MAPS: multiresolution adaptive parameterization of surfaces
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Least squares conformal maps for automatic texture atlas generation
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Bounded-distortion piecewise mesh parameterization
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Globally smooth parameterizations with low distortion
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Global conformal surface parameterization
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Optimal Global Conformal Surface Parameterization
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Greedy optimal homotopy and homology generators
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A local/global approach to mesh parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
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SGP '09 Proceedings of the Symposium on Geometry Processing
Localized quadrilateral coarsening
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ACM SIGGRAPH 2010 papers
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Controlled-distortion constrained global parametrization
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SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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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.