Multivariate complex B-splines

Peter Massopust; Brigitte Forster

doi:10.1117/12.736154

20 September 2007 Multivariate complex B-splines

Peter Massopust, Brigitte Forster

Proceedings Volume 6701, Wavelets XII; 670109 (2007) https://doi.org/10.1117/12.736154
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

We extend the notion of complex B-splines to a multivariate setting by employing the relationship between ordinary B-splines and multivariate B-splines by means of ridge functions. In order to obtain properties of complex B-splines in R^s, 1 < s ∈ N, the Dirichlet average has to be generalized to include infinite dimensional simplices. Based on this generalization several identities of multivariate complex B-splines are exhibited.

Citation Download Citation

Peter Massopust and Brigitte Forster "Multivariate complex B-splines", Proc. SPIE 6701, Wavelets XII, 670109 (20 September 2007); https://doi.org/10.1117/12.736154

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