Anisotropic Filtering of Non-Linear Surface Features
No Thumbnail Available
Date
2004
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing, Inc
Abstract
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.
Description
@article{10.1111:j.1467-8659.2004.00770.x,
journal = {Computer Graphics Forum},
title = {{Anisotropic Filtering of Non-Linear Surface Features}},
author = {Hildebrandt, Klaus and Polthier, Konrad},
year = {2004},
publisher = {The Eurographics Association and Blackwell Publishing, Inc},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2004.00770.x}
}