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Proceedings Paper

Projection operators on piecewise polynomial spaces
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Paper Abstract

We propose an approximation scheme on representation spaces which elements are piecewise polynomial functions, with deficient regularity on a pre-established grid of knots. We characterize these spaces, expose relevant properties and define appropriate bases. We design approximations methods based on orthogonal projections of a given signal, restricted to certain conditions, according with the regularity that is wished. We suggest applications for this procedure in the context of signal processing.

Paper Details

Date Published: 13 November 2003
PDF: 7 pages
Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); doi: 10.1117/12.515315
Show Author Affiliations
Ada Cammilleri, Univ. Nacional de Gral. San Martin (Argentina)
Univ. de Buenos Aires (Argentina)
Eduardo P. Serrano, Univ. Nacional de Gral. San Martin (Argentina)

Published in SPIE Proceedings Vol. 5207:
Wavelets: Applications in Signal and Image Processing X
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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