Conformal Alpha Shapes

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Date
2005
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
We define a new filtration of the Delaunay triangulation of a finite set of points in Rd, similar to the alpha shape filtration. The new filtration is parameterized by a local scale parameter instead of the global scale parameter in alpha shapes. Since our approach shares many properties with the alpha shape filtration and the local scale parameter conforms to the local geometry we call it conformal alpha shape filtration. The local scale parameter is motivated from applications and previous algorithms in surface reconstruction. We show how conformal alpha shapes can be used for surface reconstruction of non-uniformly sampled surfaces, which is not possible with alpha shapes.
Description

        
@inproceedings{
:10.2312/SPBG/SPBG05/055-061
, booktitle = {
Eurographics Symposium on Point-Based Graphics (2005)
}, editor = {
Marc Alexa and Szymon Rusinkiewicz and Mark Pauly and Matthias Zwicker
}, title = {{
Conformal Alpha Shapes
}}, author = {
Cazals, Frederic
and
Giesen, Joachim
and
Pauly, Mark
and
Zomorodian, Afra
}, year = {
2005
}, publisher = {
The Eurographics Association
}, ISSN = {
1811-7813
}, ISBN = {
3-905673-20-7
}, DOI = {
/10.2312/SPBG/SPBG05/055-061
} }
Citation