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Proceedings Paper

A construction of multiscaling functions for deficient spline spaces
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Paper Abstract

In this work we attempt to analize the structure of the classes of deficient spline functions, that is, the ones generated by traslations on the integers of the truncated power functions. Since these classes are correlated with multiresolution structures, the main pourpose of this presentation is to design vector scaling functions, with minimal support. For this, we do not apply Fourier techniques, but elemental properties of the truncated power functions. The double-scale or refinement relationship is demonstrated again from the autosimilarity property of these functions.

Paper Details

Date Published: 17 September 2005
PDF: 8 pages
Proc. SPIE 5914, Wavelets XI, 59140D (17 September 2005); doi: 10.1117/12.613088
Show Author Affiliations
Eduardo P. Serrano, Escuela de Ciencia y Technologia-UNSAM (Argentina)
Ada Cammilleri, UBA (Argentina)

Published in SPIE Proceedings Vol. 5914:
Wavelets XI
Manos Papadakis; Andrew F. Laine; Michael A. Unser, Editor(s)

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