An Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapes

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dc.contributor.authorGoes, Fernando deen_US
dc.contributor.authorCohen-Steiner, Daviden_US
dc.contributor.authorAlliez, Pierreen_US
dc.contributor.authorDesbrun, Mathieuen_US
dc.contributor.editorMario Botsch and Scott Schaeferen_US
dc.date.accessioned2015-02-27T15:03:39Z
dc.date.available2015-02-27T15:03:39Z
dc.date.issued2011en_US
dc.description.abstractWe propose a robust 2D shape reconstruction and simplification algorithm which takes as input a defect-laden point set with noise and outliers. We introduce an optimal-transport driven approach where the input point set, considered as a sum of Dirac measures, is approximated by a simplicial complex considered as a sum of uniform measures on 0- and 1-simplices. A fine-to-coarse scheme is devised to construct the resulting simplicial complex through greedy decimation of a Delaunay triangulation of the input point set. Our method performs well on a variety of examples ranging from line drawings to grayscale images, with or without noise, features, and boundaries.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2011.02033.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.titleAn Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapesen_US
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SGP11: Eurographics Symposium on Geometry Processing