Anisotropic Filtering of Non-Linear Surface Features

dc.contributor.authorHildebrandt, Klausen_US
dc.contributor.authorPolthier, Konraden_US
dc.date.accessioned2015-02-19T09:54:12Z
dc.date.available2015-02-19T09:54:12Z
dc.date.issued2004en_US
dc.description.abstractA new method for noise removal of arbitrary surfaces meshes is presented which focuses on the preservation and sharpening of non-linear geometric features such as curved surface regions and feature lines. Our method uses a prescribed mean curvature flow (PMC) for simplicial surfaces which is based on three new contributions: 1. the definition and efficient calculation of a discrete shape operator and principal curvature properties on simplicial surfaces that is fully consistent with the well-known discrete mean curvature formula, 2. an anisotropic discrete mean curvature vector that combines the advantages of the mean curvature normal with the special anisotropic behaviour along feature lines of a surface, and 3. an anisotropic prescribed mean curvature flow which converges to surfaces with an estimated mean curvature distribution and with preserved non-linear features. Additionally, the PMC flow prevents boundary shrinkage at constrained and free boundary segments.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume23en_US
dc.identifier.doi10.1111/j.1467-8659.2004.00770.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages391-400en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2004.00770.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing, Incen_US
dc.titleAnisotropic Filtering of Non-Linear Surface Featuresen_US
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