[comp.compression] wavelets

abirenbo@adara.cel.scg.hac.com (Aaron Birenboim) (06/04/91)

I am working with some Wavelet Compression programs for
images.  (multi-band and individual).  I am familiar
with transform compression techniques, but i do not
understand the Wavelet transform?! (if it is a transform,
it kind of looks like one).  Can soembody out there offer
a nice reference to learn the basics fo Wavelet Compression
and/or transforms?  In my facility we do not have a large
library, and if I know the specific articles to ask for,
I could order them form another library.  (we do not
even have a subscription to IEEE ASSP!)

   Thanks in Advance
--
Aaron Birenboim                                |I was not told to make a 
abirenbo%rigel.cel.scg.hac.com@hac2arpa.hac.com|disclaimer about my opinions vs.
abirenbo@isis.cs.du.edu                        |those of Hughes, so I appointed
w (303) 344-6486                               |myself as the voice of HAC

gordon@analog.com (gordon@apollo.dsp.analog.com) (06/07/91)

    Some key papers about wavelets are:
    Ingrid Daubechies, "Orthonormal Bases of Compactly Supported
Wavelets", Communications on pure and Applied Mathematics 1988, 
Vol. 41, 909-996.
    Ingrid Daubechies, "The Wavelet Transform, Time-Frequency Localization
and Signal Analysis", IEEE Transactions on Information Theory, Vol. 36, No. 5,
Sep 90, 961-1005.

    There are other papers on specific applications such as compression, 
image analysis and sound analysis.  I am new to the subject too. Please Email me
if you would like to share some learning experience.

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abirenbo@castor.cel.scg.hac.com (Aaron Birenboim) (06/07/91)

  I am looking into Wavelet transform Image Compression.
Since I am just starting out, I'd like to understand the
Discrete Wavelet Transform, and the Quadrature Mirror
Filter implementation (which is rumored to be O(n) complexity?!)

  Unfortunately, my background is EE, and I would prefer a
good nuts and bolts paper, since my math background is not
extremely strong.

  I would really appreciate any help I can get.

    Thanks in advance,



--
Aaron Birenboim                                |I was not told to make a 
abirenbo%rigel.cel.scg.hac.com@hac2arpa.hac.com|disclaimer about my opinions vs.
abirenbo@isis.cs.du.edu                        |those of Hughes, so I appointed
w (303) 344-6486                               |myself as the voice of HAC

sdm7g@Virginia.EDU (Steven D. Majewski) (06/25/91)

BTW: For those interested, the complete list of 
 wavelet papers from Feb. 1991 Radio-Electronics magazine article is:


A New Wave in Applied Mathematics
	B. Cipra, Science, 24 Aug 1990 pp858-859

New Wave Number Crunching
	C. Brown, E.E.Times, 5 NOV 1990, pp31-34

Video compression using 3D wavelet transforms
	A. Lewis, Electronic Letters, vol 26 no 6 pp 396-8

Non-orthogonal wavelet representations in relaxation networks
	J. Daugman, New Developments in Nueral Computing, pp 233-50

A Theory for Multiresolution Signal Decomposition
	S. Mallat, IEEE Transactions on Machine Intelligence, v11-7 pp 674-93

Wavelet Transformation in Signal Detection
	F. Tuteur, 8th IFAC/IFORS Symposium, vol 2 pp 1061-5
	F. Tuteur, ICASSP Speech Conference 88, vol 3 pp 1435-8

Entropy Reduction and decorrelation in visual coding
	J. Daugman, IEEE Trans. Biomedical Engineering, vol 36 no 1 pp 107-14

Complete discrete 2-D Gabor transforms
	J. Daugman, IEEE Trans. Acoustics & Speech, vol 36 no 7 pp 1169-79

Dispersive noise removal in t-x space
	Beresford-Smith, Geophysics USA, vol 53 no 3 pp 346-58

Adaptive deconvolution by lattice filters.
	S. Persoglia, Bulletin of Geophysics Theory, vol 27 no 107 pp 169-83

A critique of seismic deconvolution methods.
	A. Jurkevics, Geophysics, vol 49 no 12 pp 2109-16

Statictical Pulse Compression
	E. Robinson, IEEE Proceedings, vol 72 no 10 pp 1276-89


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