A new Projection Method for Point Set Surfaces

dc.contributor.authorKalbe, Thomasen_US
dc.contributor.authorFuhrmann, Simonen_US
dc.contributor.authorUhrig, Stefanen_US
dc.contributor.authorZeilfelder, Franken_US
dc.contributor.authorKuijper, Arjanen_US
dc.contributor.editorP. Alliez and M. Magnoren_US
dc.date.accessioned2015-07-09T11:07:40Z
dc.date.available2015-07-09T11:07:40Z
dc.date.issued2009en_US
dc.description.abstractA successful approach in triangulating point set surfaces is to apply operations, like a projection operator for advancing front algorithms, directly to Moving-Least Squares (MLS) surfaces. The MLS method naturally handles noisy input data and is especially useful for point clouds derived from real-world solids. Unfortunately, MLS is computationally extensive and complex. We present a novel projection method that does not require solving a nonlinear optimization problem as MLS does. We create a polynomial approximation of the surface similar to MLS but our method adapts the degree of the polynomial with respect to the points to be approximated. The approximated points are iteratively collected compromising connectivity information. We enhance the orientation of the local coordinate system to further improve the method. The results confirm that our method is more robust and also accelerates triangulation due to a preprocessing step that needs to be done only once per data set.en_US
dc.description.sectionheadersGeometry and Imagesen_US
dc.description.seriesinformationEurographics 2009 - Short Papersen_US
dc.identifier.doi10.2312/egs.20091053en_US
dc.identifier.pages77-80en_US
dc.identifier.urihttps://doi.org/10.2312/egs.20091053en_US
dc.publisherThe Eurographics Associationen_US
dc.titleA new Projection Method for Point Set Surfacesen_US
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