End of article 40808 (of 40834) -- what next? [npq] sci.math.num-analysis #40802 (17 + 315 more) [1]+-[1]
From: Thomas Harte \-[1]
Newsgroups: sci.math,sci.math.num-analysis
[1] Mathematics for WAVELETS
Date: Thu Mar 12 11:02:57 EST 1998
Hi,
I am interested in reading in-depth the mathematics relevant to
wavelets. Some wavelet texts have reasonable introductions
to functional analysis, measure theory, Lebesgue integration,
function spaces, and so on, but most are limited (naturally)
to presenting but the most cursory of outlines.
[Q.] What texts have YOU found to be most helpful on the above
topics if your background is engineering/physical sciences,
i.e. not mathematics?
Thanks,
Thomas.
From: Paul Abbott \-[1]
Newsgroups: sci.math,sci.math.num-analysis
[1] Re: Mathematics for WAVELETS
Date: Fri Mar 13 00:15:45 EST 1998
I am a physicist. I found the following texts to be most helpful:
Newland D E 1994 An Introduction to Random Vibrations, Spectral and
Koornwinder, T H 1993 Wavelets: An Elementary Treatment in Theory
and Applications (World Scientific, Singapore)
Rioul O and Vetterli M 1991 Wavelets and Signal Processing in IEEE
Signal Processing Magazine pp14-38
Chui C K 1992 An Introduction to Wavelets (Academic Press)
In addition, I have presented a short
course on Wavelets:

The lecture notes are available as a Mathematica Notebook and there are
links at this page to other wavelets resources.
In addition, I have found the Mathematica Wavelet Explorer package:
http://store.wolfram.com/view/wavelet/
to be very helpful.
Cheers,
Paul
____________________________________________________________________
Paul Abbott Phone: +61-8-9380-2734
Department of Physics Fax: +61-8-9380-1014
The University of Western Australia
Nedlands WA 6907 mailto:paul@physics.uwa.edu.au
AUSTRALIA http://www.pd.uwa.edu.au/~paul
God IS a weakly left-handed dice player
____________________________________________________________________
End of article 40810 (of 40834) -- what next? [npq] sci.math.num-analysis #40815 (15 + 315 more) (1)+-(1)
From: Jonathan G Campbell \-[1]
Newsgroups: sci.math,sci.math.num-analysis
[1] Re: Mathematics for WAVELETS
Date: Fri Mar 13 07:16:27 EST 1998
>
you sure you need the maths, that is, as a basis for wavelets, rather
than additional personal fulfillment.
I, also a (humble) engineer, like the following:
@Article{stollnitza,
author="E.J. Stollnitz and T.D. DeRose and D.H. Salesin",
year=1995,
title="Wavelets for computer graphics: a primer, Part 1",
journal= "IEEE Computer Graphics and Applications",
month="May"
}
[BTW NB. the typo. on p. 78
the eqn. should read
psi_i^j := psi(2^j-i), i=0,...]
@Article{stollnitzb,
author="E.J. Stollnitz and T.D. DeRose and D.H. Salesin",
year=1995,
title="Wavelets for computer graphics: a primer, Part 2",
journal= "IEEE Computer Graphics and Applications",
}
@Book{castleman,
author = "K.R. Castleman",
title = "Digital Image Processing",
publisher = "Prentice Hall",
year = "1996",
OPTedition = "3rd."
}
We recently had a seminar given by a guy called Colm Mulcahy who gave a
most accessible introduction to wavelets -- using no more than linear
algebra; apparently some documents and Matlab m-files available at
www.spelman.edu/~colm

.
Amongst the books he recommended were:
Burrus, Gopinath and Guo, Introduction to Wavelets and Wavelet
Transforms -- a Primer, Prentice Hall, 1998
Barbara Burke Hubbard, The World According to Wavelets, 2nd ed., A.K.
Stollnitz, DeRose and Salesin, Wavelets for Computer Graphics, Morgan
Kaufmann, 1996.
Hope this helps,
Jon Campbell
--
Jonathan G Campbell Univ. Ulster Magee College Derry BT48 7JL N. Ireland
+44 1504 375367 JG.Campbell@ulst.ac.uk http://www.infm.ulst.ac.uk/~jgc/
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