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Proceedings Paper

Construction of shift-orthogonal wavelets using splines
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Paper Abstract

We present examples of a new type of wavelet basis functions that are orthogonal across shifts, but not across scales. The analysis functions are low order splines while the synthesis functions are polynomial splines of higher degree n2. The approximation power of these representations is essentially as good as that of the corresponding Battle- Lemarie orthogonal wavelet transform, with the difference that the present wavelet synthesis filters have a much faster decay. This last property, together with the fact that these transformation s are almost orthogonal, may be useful for image coding and data compression.

Paper Details

Date Published: 23 October 1996
PDF: 9 pages
Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255257
Show Author Affiliations
Michael A. Unser, National Institutes of Health (United States)
Philippe Thevenaz, National Institutes of Health (United States)
Akram Aldroubi, National Institutes of Health (United States)

Published in SPIE Proceedings Vol. 2825:
Wavelet Applications in Signal and Image Processing IV
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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