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.
Author: | Klaus Hildebrandt, Konrad Polthier |
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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 |