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Proceedings Paper

Nonlinear operator related to refinable function vectors
Author(s): Ying Huang; Bruce W. Suter
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Paper Abstract

We study a certain nonlinear operator T from L2(R, CN) to itself under which every refinable function vector is a fixed point. The iterations Tnf of T on any f (epsilon) L2(R, CN) with the Riesz basis property are investigated; they turn out to be the 'cascade algorithm' iterates of f with weights depending on f only. The paper also gives conditions for convergence of Tnf to a limit in different topologies.

Paper Details

Date Published: 23 October 1996
PDF: 10 pages
Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255290
Show Author Affiliations
Ying Huang, Air Force Institute of Technology (United States)
Bruce W. Suter, Air Force Institute of Technology (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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