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dc.contributor.authorAmenta, Ninaen_US
dc.contributor.authorKil, Yong J.en_US
dc.contributor.editorMarkus Gross and Hanspeter Pfister and Marc Alexa and Szymon Rusinkiewiczen_US
dc.date.accessioned2014-01-29T16:25:41Z
dc.date.available2014-01-29T16:25:41Z
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/SPBG04/139-147en_US
dc.description.abstractIt is useful to be able to define a two-dimensional point-set surface determined by a point cloud. One popular definition is Levin's MLS surface. This surface is defined on a domain which is a three-dimensional subset of R3, a narrow region around the input point cloud. If we were to extend the definition outside the domain, we would produce components of the surface which are far from the point cloud. This is important in practice, since when moving points onto the MLS surface, we need to begin with an initial guess which is within the domain. We visualize the domain in two dimensions, and explain why it is so narrow. We also consider two MLS variants which can be defined on a wider domain without producing spurious surface components. One is efficient and works well except near sharp corners. The other is computationally expensive but seems to work well everywhere.en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Curve, surface, solid, and object representationsen_US
dc.titleThe Domain of a Point Set Surfaceen_US
dc.description.seriesinformationSPBG'04 Symposium on Point - Based Graphics 2004en_US


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