TY - GEN A1 - Lange, Carsten A1 - Polthier, Konrad T1 - Anisotropic Smoothing of Point Sets N2 - 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. T3 - ZIB-Report - 05-16 KW - point sets KW - anisotropic mean curvature KW - anisotropic sampling KW - shape operator KW - principal curvatures KW - anisotropic Laplace KW - mean curvature flow KW - f Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-8508 ER -