Constraint-based Fairing of Surface Meshes

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Date
2007
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.
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@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
} }
Citation