Smoothing of Partition of Unity Implicit Surfaces for Noise Robust Surface Reconstruction

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dc.contributor.authorNagai, Yukieen_US
dc.contributor.authorOhtake, Yutakaen_US
dc.contributor.authorSuzuki, Hiromasaen_US
dc.date.accessioned2015-02-23T15:43:28Z
dc.date.available2015-02-23T15:43:28Z
dc.date.issued2009en_US
dc.description.abstractWe propose a novel method for smoothing partition of unity (PU) implicit surfaces consisting of sets of non-conforming linear functions with spherical supports. We derive new discrete differential operators and Laplacian smoothing using a spherical covering of PU as a grid-like data structure. These new differential operators are applied to the smoothing of PU implicit surfaces. First, Laplacian smoothing is performed for the vector field defined by the gradient of the PU implicit surface, which is then updated to reflect the smoothing of the gradient field. This process achieves a method for noise robust surface reconstruction from scattered points.en_US
dc.description.number5en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume28en_US
dc.identifier.doi10.1111/j.1467-8659.2009.01511.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1339-1348en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2009.01511.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleSmoothing of Partition of Unity Implicit Surfaces for Noise Robust Surface Reconstructionen_US
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SGP09: Eurographics Symposium on Geometry Processing