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Anisotropic Filtering of Non-Linear Surface Features

Please always quote using this URN: urn:nbn:de:0297-zib-8003
  • A 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.

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Metadaten
Author:Klaus Hildebrandt, Konrad Polthier
Document Type:ZIB-Report
Tag:anisotropic smoothing; feature lines; mesh smoothing; prescribed mean curvature; principal curvature
CCS-Classification:I. Computing Methodologies / I.3 COMPUTER GRAPHICS / I.3.5 Computational Geometry and Object Modeling
Date of first Publication:2004/06/15
Series (Serial Number):ZIB-Report (04-25)
ZIB-Reportnumber:04-25
Published in:Appeared in: Computer Graphics Forum - Eurographics Vol. 23 (2004) 3, Blackwell Publishing
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