On Transfinite Barycentric Coordinates

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dc.contributor.authorBelyaev, Alexanderen_US
dc.contributor.editorAlla Sheffer and Konrad Polthieren_US
dc.date.accessioned2014-01-29T08:14:02Z
dc.date.available2014-01-29T08:14:02Z
dc.date.issued2006en_US
dc.description.abstractA general construction of transfinite barycentric coordinates is obtained as a simple and natural generalization of Floater's mean value coordinates [Flo03, JSW05b]. The Gordon-Wixom interpolation scheme [GW74] and transfinite counterparts of discrete harmonic and Wachspress-Warren coordinates are studied as particular cases of that general construction. Motivated by finite element/volume applications, we study capabilities of transfinite barycentric interpolation schemes to approximate harmonic and quasi-harmonic functions. Finally we establish and analyze links between transfinite barycentric coordinates and certain inverse problems of differential and convex geometry.en_US
dc.description.seriesinformationSymposium on Geometry Processingen_US
dc.identifier.isbn3-905673-24-Xen_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP06/089-099en_US
dc.publisherThe Eurographics Associationen_US
dc.titleOn Transfinite Barycentric Coordinatesen_US
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SGP06: Eurographics Symposium on Geometry Processing