Mesh Statistics for Robust Curvature Estimation

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dc.contributor.author Váša, Libor en_US
dc.contributor.author Vaněček, Petr en_US
dc.contributor.author Prantl, Martin en_US
dc.contributor.author Skorkovská, Věra en_US
dc.contributor.author Martínek, Petr en_US
dc.contributor.author Kolingerová, Ivana en_US
dc.contributor.editor Maks Ovsjanikov and Daniele Panozzo en_US
dc.date.accessioned 2016-06-17T14:12:12Z
dc.date.available 2016-06-17T14:12:12Z
dc.date.issued 2016 en_US
dc.identifier.issn 1467-8659 en_US
dc.identifier.uri http://dx.doi.org/10.1111/cgf.12982 en_US
dc.description.abstract While it is usually not difficult to compute principal curvatures of a smooth surface of sufficient differentiability, it is a rather difficult task when only a polygonal approximation of the surface is available, because of the inherent ambiguity of such representation. A number of different approaches has been proposed in the past that tackle this problem using various techniques. Most papers tend to focus on a particular method, while an comprehensive comparison of the different approaches is usually missing. We present results of a large experiment, involving both common and recently proposed curvature estimation techniques, applied to triangle meshes of varying properties. It turns out that none of the approaches provides reliable results under all circumstances. Motivated by this observation, we investigate mesh statistics, which can be computed from vertex positions and mesh connectivity information only, and which can help in deciding which estimator will work best for a particular case. Finally, we propose a meta-estimator, which makes a choice between existing algorithms based on the value of the mesh statistics, and we demonstrate that such meta-estimator, despite its simplicity, provides considerably more robust results than any existing approach. en_US
dc.publisher The Eurographics Association and John Wiley & Sons Ltd. en_US
dc.subject I.3.5 [Computer Graphics] en_US
dc.subject Computational Geometry and Object Modeling en_US
dc.subject Geometric algorithms en_US
dc.subject languages en_US
dc.subject and systems en_US
dc.subject curve en_US
dc.subject surface en_US
dc.subject solid en_US
dc.subject and object representations en_US
dc.title Mesh Statistics for Robust Curvature Estimation en_US
dc.description.seriesinformation Computer Graphics Forum en_US
dc.description.sectionheaders Differential Properties en_US
dc.description.volume 35 en_US
dc.description.number 5 en_US
dc.identifier.doi 10.1111/cgf.12982 en_US
dc.identifier.pages 271-280 en_US


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