Constraint-based Fairing of Surface Meshes
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Date
2007
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
We propose a constraint-based method for the fairing of surface meshes. The main feature of our approach is that the resulting smoothed surface remains within a prescribed distance to the input mesh. For example, specifying the maximum distance in the order of the measuring precision of a laser scanner allows noise to be removed while preserving the accuracy of the scan. The approach is modeled as an optimization problem where a fairness measure is minimized subject to constraints that control the spatial deviation of the surface. The problem is efficiently solved by an active set Newton method.
Description
@inproceedings{:10.2312/SGP/SGP07/203-212,
booktitle = {Geometry Processing},
editor = {Alexander Belyaev and Michael Garland},
title = {{Constraint-based Fairing of Surface Meshes}},
author = {Hildebrandt, Klaus and Polthier, Konrad},
year = {2007},
publisher = {The Eurographics Association},
ISSN = {1727-8384},
ISBN = {978-3-905673-46-3},
DOI = {/10.2312/SGP/SGP07/203-212}
}