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dc.contributor.authorClarenz, U.en_US
dc.contributor.authorRumpf, M.en_US
dc.contributor.authorTelea, A.en_US
dc.contributor.editorMarkus Gross and Hanspeter Pfister and Marc Alexa and Szymon Rusinkiewiczen_US
dc.date.accessioned2014-01-29T16:25:48Z
dc.date.available2014-01-29T16:25:48Z
dc.date.issued2004en_US
dc.identifier.isbn3-905673-09-6en_US
dc.identifier.issn1811-7813en_US
dc.identifier.urihttp://dx.doi.org/10.2312/SPBG/SPBG04/201-211en_US
dc.description.abstractframework efficiently and effectively brings well-known PDE-based processing techniques to the field of point-based surfaces. Our method is based on the construction of local tangent planes and a local Delaunay triangulation of adjacent points projected onto this plane. The definition of tangent spaces relies on moment-based computation with proven scaling and stability properties. Once local couplings are obtained, we are able to easily assemble PDE-specific mass and stiffness matrices and solve corresponding linear systems by standard iterative solvers. We demonstrate our framework by different classes of PDE-based surface processing applications, such as texture synthesis and processing, geometric fairing, and segmentation.en_US
dc.publisherThe Eurographics Associationen_US
dc.titleFinite Elements on Point Based Surfacesen_US
dc.description.seriesinformationSPBG'04 Symposium on Point - Based Graphics 2004en_US


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