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Anisotropic Smoothing of Point Sets
Please always quote using this URN:urn:nbn:de:0296-matheon-2314
- The use of point sets instead ofmeshes becamemore popular during the last years. We present a new method for anisotropic fairing of a point sampled surface using an anisotropic geometric mean curvature flow. The main advantage of our approach is that the evolution removes noise from a point set while it detects and enhances geometric features of the surface such as edges and corners. We derive a shape operator, principal curvature properties of a point set, and an anisotropic Laplacian of the surface. This anisotropic Laplacian reflects curvature properties which can be understood as the point set analogue of Taubin’s curvature-tensor for polyhedral surfaces. We combine these discrete tools with techniques from geometric diffusion and image processing. Several applications demonstrate the efficiency and accuracy of our method.
Author: | Carsten Lange, Konrad Polthier |
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URN: | urn:nbn:de:0296-matheon-2314 |
Referee: | Günter M. Ziegler |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2005/08/03 |
Release Date: | 2005/08/03 |
Preprint Number: | 224 |