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dc.contributor.authorKanai, Takashien_US
dc.contributor.authorOhtake, Yutakaen_US
dc.contributor.authorKase, Kiwamuen_US
dc.contributor.editorAlla Sheffer and Konrad Polthieren_US
dc.date.accessioned2014-01-29T08:14:00Z
dc.date.available2014-01-29T08:14:00Z
dc.date.issued2006en_US
dc.identifier.isbn3-905673-24-Xen_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttp://dx.doi.org/10.2312/SGP/SGP06/021-030en_US
dc.description.abstractThis paper describes an efficient method for the hierarchical approximation of implicit surfaces from polygonal meshes. A novel error function between a polygonal mesh and an implicit surface is proposed. This error function is defined so as to be scale-independent from its global behavior as well as to be area-sensitive on local regions. An implicit surface tightly-fitted to polygons can be computed by the least-squares fitting method. Furthermore, this function can be represented as the quadric form, which realizes a compact representation of such an error metric. Our novel algorithm rapidly constructs a SLIM (Sparse Low-degree IMplicit) surface which is a recently developed non-conforming hierarchical implicit surface representation. Users can quickly obtain a set of implicit surfaces with arbitrary resolution according to errors from a SLIM surface.en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Curve, Surface, Solid and Object Representations, G.1.2 [Numerical Analysis]: Approximation of Surfaces and Contoursen_US
dc.titleHierarchical Error-Driven Approximation of Implicit Surfaces from Polygonal Meshesen_US
dc.description.seriesinformationSymposium on Geometry Processingen_US


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