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Proceedings Paper

Equivalence relation between multiresolution analyses of L2(R)
Author(s): Manos Papadakis; Theodoros Stavropoulos; Nicholas Kalouptsidis
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Paper Abstract

This paper is concerned with the development of an equivalence relation between two multiresolution analyses of L2(R). The relation called unitary equivalence is created by the action of a unitary operator in a way that the multiresolution structure and the decomposition and reconstruction algorithms remain invariant. A characterization in terms of the scaling functions of the multiresolution analyses is given. Distinct equivalence classes of multiresolution analyses are derived. Finally, we prove that B-splines give rise to non- equivalent examples.

Paper Details

Date Published: 6 April 1995
PDF: 8 pages
Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); doi: 10.1117/12.205458
Show Author Affiliations
Manos Papadakis, Hellenic Military Academy (United States)
Theodoros Stavropoulos, Univ. of Athens (Greece)
Nicholas Kalouptsidis, Univ. of Athens (Greece)

Published in SPIE Proceedings Vol. 2491:
Wavelet Applications II
Harold H. Szu, Editor(s)

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