Spherical Triangular B-splines with Application to Data Fitting

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dc.contributor.authorPfeifle, Ronen_US
dc.contributor.authorSeidel, Hans-Peteren_US
dc.date.accessioned2014-10-21T07:37:54Z
dc.date.available2014-10-21T07:37:54Z
dc.date.issued1995en_US
dc.description.abstractTriangular B-splines surfaces are a tool for representing arbitrary piecewise polynomial surfaces over planar triangulations, while automatically maintaining continuity properties across patch boundaries. Recently, Alfeld et al. [1] introduced the concept of spherical barycentric coordinates which allowed them to formulate Bernstein-Bezier polynomials over the sphere.In this paper we use the concept of spherical barycentric coordinates to develop a similar formulation for triangular B-splines, which we call spherical triangular B-splines. These splines defined over spherical triangulations share the same continuity properties and similar evaluation algorithms with their planar counterparts, but possess none of the annoying degeneracies found when trying to represent closed surfaces using planar parametric surfaces. We also present an example showing the use of these splines for approximating spherical scattered data.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume14en_US
dc.identifier.doi10.1111/j.1467-8659.1995.cgf143-0089.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages89-96en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.1995.cgf143-0089.xen_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleSpherical Triangular B-splines with Application to Data Fittingen_US
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