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Positive quadrature and hyperinterpolation on the rotation group.

In: Proceedings (10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010, 27-30 June 2010). Almeria: CMMSE, 2010. 1-10
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We consider scattered data approximation problems on the rotation group SO(3). More precisely, we provide suffcient conditions on the distribution of the scattered sampling points to guarantee the existence of positive quadrature formulas with respect to these points on the rotation group. These quadrature weights, in turn, are then used to defne hyperinterpolation schemes that are exact for polynomials on SO(3) up to a given degree.
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Publikationstyp Artikel: Konferenzbeitrag
Schlagwörter Rotation group; Scattered data; Quadrature rules; Wigner D-functions
Konferenztitel 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010
Konferzenzdatum 27-30 June 2010
Konferenzband Proceedings
Quellenangaben Band: , Heft: , Seiten: 1-10 Artikelnummer: , Supplement: ,
Verlag CMMSE
Verlagsort Almeria