Share Email Print

Proceedings Paper

Multivariate complex B-splines
Author(s): Peter Massopust; Brigitte Forster
Format Member Price Non-Member Price
PDF $17.00 $21.00

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
Show Author Affiliations
Peter Massopust, National Research Ctr. for Environment and Health (Germany)
Technische Univ. München (Germany)
Brigitte Forster, Technische Univ. München (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)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?