Spherical splines | Vidéo | Carmin.tv

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Spherical splines

By Hartmut Prautzsch

Appears in collections : Multivariate approximation and interpolation with applications - MAIA / Approximation et interpolation à plusieurs variables et applications - MAIA, Exposés de recherche

The Bézier representation of homogenous polynomials has little and not the usual geometric meaning if we consider the graph of these polynomials over the sphere. However the graph can be seen as a rational surface and has an ordinary rational Bézier representation. As I will show, both Bézier representations are closely related. Further I consider rational spline constructions for spherical surfaces and other closed manifolds with a projective or hyperbolic structure.

Information about the video

Date of recording 22/09/2016
Date of publication 27/09/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19053403
Cite this video Prautzsch, Hartmut (22/09/2016). Spherical splines. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19053403
URL https://dx.doi.org/10.24350/CIRM.V.19053403

Domain(s)

Bibliography

Prautzsch, H., Boehm, W., & Paluszny, M. (2002). Bézier and B-spline techniques. Berlin: Springer - http://dx.doi.org/10.1007/978-3-662-04919-8

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