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   -> Volume 6, Issue 9


Preprint: Discrete projections onto wavelet subspaces
 
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a.f.ware@durham.ac.uk
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PostPosted: Mon Aug 18, 1997 6:16 pm    
Subject: Preprint: Discrete projections onto wavelet subspaces
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#4 Preprint: Discrete projections onto wavelet subspaces

The following preprint is available at the URL
http://fourier.dur.ac.uk:8000/~dma0afw/discproj.ps.Z

Title: Discrete projections onto wavelet subspaces
Author: Antony Ware
Department of Mathematical Sciences
University of Durham,
Science Laboratories, South Road,
Durham, DH1 3LE.
U.K.

Abstract: Given a bounded continuous function $f$, there exist linear
functionals, each involving a finite number of samples of $f$, that
act as projections onto spaces spanned by (for example) Daubechies'
scaling functions and wavelets. The error from such a projection
carried out at one resolution level can then be expanded explicitly in
terms of wavelet coefficients of $f$ at higher resolution levels only.
This results in the possibility of projecting a function directly onto
an adapted wavelet basis, with an accuracy consistent with the overall
approximation error, and with an operations count proportional to the
size of the adapted basis. --

Dr. A.F. Ware University of Durham,
Department of Mathematical Sciences, Tel: Direct: (0191) 374 7784
Science Laboratories, South Road, Department: (0191) 374 2349
Durham, DH1 3LE. E-mail:A.F.Ware@durham.ac.uk
U.K. FAX: 0191 374 7388
http://fourier.dur.ac.uk:8000/~dma0afw/
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