TY - GEN A1 - Hildebrandt, Klaus A. A1 - Polthier, Konrad T1 - Anisotropic Filtering of Non-Linear Surface Features N2 - 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 nonlinear features. Additionally, the PMC flow prevents boundary shrinkage at constrained and free boundary segments. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/107 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1073 ER -