Refine
Year of publication
- 2005 (2)
Document Type
- Article (1)
- ZIB-Report (1)
Language
- English (2)
Is part of the Bibliography
- no (2)
Keywords
- anisotropic Laplace (1)
- anisotropic mean curvature (1)
- anisotropic sampling (1)
- f (1)
- mean curvature flow (1)
- point sets (1)
- principal curvatures (1)
- shape operator (1)
Institute
The use of point sets instead of meshes became more 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.