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EUROGRAPHICS 2004 / M.-P. Cani and M. Slater (Guest Editors)

Summary: EUROGRAPHICS 2004 / M.-P. Cani and M. Slater
(Guest Editors)
Volume 23 (2004), Number 3
Anisotropic Filtering of Non-Linear Surface Features
Klaus Hildebrandt
Konrad Polthier
Zuse Institute Berlin, Germany
Dedicated to the 65th birthday of Prof. Dr. Hermann Karcher
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 non-linear features. Additionally,
the PMC flow prevents boundary shrinkage at constrained and free boundary segments.
1. Introduction
Noise is an omnipresent artifact in 2d and 3d meshes due


Source: Andrzejak, Artur - Konrad-Zuse-Zentrum für Informationstechnik Berlin


Collections: Computer Technologies and Information Sciences