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Conference papers

Multivariate Complex BSplines, Dirichlet Averages and Difference Operators

Abstract : For the Schoenberg B-splines, interesting relations between their functional representation, Dirichlet averages and difference operators are known. We use these relations to extend the B-splines to an arbitrary (infinite) sequence of knots and to higher dimensions. A new Fourier domain representation of the multidimensional complex B-spline is given.
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Contributor : Bruno Torrésani Connect in order to contact the contributor
Submitted on : Thursday, February 4, 2010 - 5:10:50 PM
Last modification on : Thursday, January 6, 2022 - 11:38:04 AM
Long-term archiving on: : Thursday, October 18, 2012 - 2:35:37 PM


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  • HAL Id : hal-00453453, version 1



Brigitte Forster, Peter Massopust. Multivariate Complex BSplines, Dirichlet Averages and Difference Operators. SAMPTA'09, May 2009, Marseille, France. pp.General session. ⟨hal-00453453⟩