Anisotropic smoothing of point sets,

9 years 3 months ago
Anisotropic smoothing of point sets,
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. CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling--Curve, surface, solid and object representationsCurve, surface, sol...
Carsten Lange, Konrad Polthier
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2005
Where CAGD
Authors Carsten Lange, Konrad Polthier
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