
Proceedings Paper
Multivariate complex B-splinesFormat | Member Price | Non-Member Price |
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Paper 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 Rs, 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.
Paper Details
Date Published: 20 September 2007
PDF: 9 pages
Proc. SPIE 6701, Wavelets XII, 670109 (20 September 2007); doi: 10.1117/12.736154
Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)
PDF: 9 pages
Proc. SPIE 6701, Wavelets XII, 670109 (20 September 2007); doi: 10.1117/12.736154
Show Author Affiliations
Peter Massopust, National Research Ctr. for Environment and Health (Germany)
Technische Univ. München (Germany)
Technische Univ. München (Germany)
Brigitte Forster, Technische Univ. München (Germany)
National Research Ctr. for Environment and Health (Germany)
National Research Ctr. for Environment and Health (Germany)
Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)
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