As you can tell from the embarassing date at the bottom of this page, it hasn't been updated in 15 years, i.e. about 15 computer generations. Fortunately for those who've had the misfortune to cyberstumble onto this, someone has provided a recent update about wavelets. It can be found at:

http://www.surveillance-video.com/wavelet-feb-2010.html

In addition to providing you with better and much more current information, Karen's page allows me to slack off on this page for another 15 years, and we all owe her a debt of gratitude.

Selecting the following will guide you to sources (or meta-sources) for information about wavelets and their applications. You really might want to give this a skip and go straight to the wavelet pages of Amara Graps. She's putting a lot of effort into both maintaining and expanding her pages and I'm too busy with my other pages to do much more than occasionally check the links to see if they're still valid.

Bibliographies

Tutorials and overviews

Individual or group sites

- Wavelet Digest Site
- This site at the University of South Carolina
contains the back issues of the Wavelet Digest as well as
various papers and software.

[http://www.wavelet.org] - MathSoft Wavelet Resources Page
- This site contains an extensive list
of wavelet preprints and published papers that can be
obtained via the Web.

[http://www.mathsoft.com/wavelets.html] - High Performance Computing Article Archive
- This is an archive of technical reports, notes, theses, and other sorts of documents in the area of high performance (i.e. parallel, RISC, etc.) computing. Papers applying wavelets can be found in the PDE subject area in the computational mathematics archive section.

- Annotated Bibliography of skb
- This is a bibliography in BibTeX format that I've
created. It contains entries for papers published in
journals and conference proceedings as well as entries
for preprints and technical reports available via the
Web. Many of the articles include their abstracts and
occasionally even some additional information. Some of
the preprints and articles indicated as available on the
Web may no longer be available. I can't continually keep track
of such things, but I've tried to give enough information so
you can at least contact the author, if only via snailmail.

[http://www-ocean.tamu.edu/~baum/records/wavelet.docs] - Wavelet Bibliography Collection
- This is a collection of bibliographies pertaining to wavelets
as part of a much larger collection of bibliographies pertaining to
various topics in computer science and mathematics.

[http://liinwww.ira.uka.de/bibliography/Theory/Wavelets/]

- Plotting and Scheming with Wavelets
- An elementary, linear algebra-based introduction to wavelets aimed at a non-sophisticated mathematical audience.
- An Introduction to Wavelets
- No description yet.

[http://www.amara.com/IEEEwave/IEEEwavelet.html] - Wavelets: An Elementary Introduction and Examples
- This paper by M. Ueda and S. Lodha introduces wavelets
via scaling functions using the theory of multiresolution
analysis. The primary focus is to describe many examples
of scaling functions and their corresponding wavelets without
proofs. The two-scale reconstruction and decomposition
relations are described in order to provide the reader with
a quick working knowledge of wavelets. The filename of
this report is ucsc-crl-94-47.ps.Z.

[ftp://ftp.cse.ucsc.edu/pub/tr/] - Introduction to Wavelets in Engineering
- This link provides information on how to obtain this paper
via an email request.

[http://www-iesl.mit.edu/pub/wavelet/4_Intro-92.html] - Fundamentals of the Discrete Wavelet Transform for Seismic Data Processing
- The purpose of this report by Jack C. Cohen and Tong Chen is
to explain and illustrate the effect of the discrete wavelet transform
on seismic data, thus providing the information necessary for
researchers to assess its possible use in their areas of data
processing. The report number is cwp-130P.ps.Z.

[ftp://ftp.mines.colorado.edu/pub/papers/math_cs_dept/pub93/] - Wavelets
- A review by Ronald DeVore and Bradley Lucier. This is an introduction chiefly from the viewpoint of approximation theory and data compression. The authors want the reader to become "sufficiently acquainted with the subject to understand the enthusiasm of its proponents toward its potential application to various numerical problems." This is a 50 page compressed PostScript file (168 kb).
- Wavelets in Computer Graphics: A Primer
- This has evolved into a book published by Morgan Kaufmann.
- Wavelets and Their Applications in Computer Graphics
- This is a 2.5 Mb compressed PostScript file containing a compilation of SIGGRAPH '94 course notes by Alain Fournier. It includes an introduction and sections on wavelets and multiresolution, wavelets, signal compression and image processing, curves and surfaces, wavelet radiosity, and applications. There is a basic software package associated with this document as well as a brief informational file describing both.
- Lectures on Wavelet Packet Algorithms
- A paper by Mladen Wickerhauser that is concerned with choosing an optimum wavelet set for a given application. This set is called a wavelet packet. This is a 74 page compressed PostScript file (2.2 mb).

- Jack Cohen
- Jack Cohen at the Colorado School of Mines has made
available several tutorial papers and a series of
Mathematica programs for expository purposes.

[http://timna.mines.edu/~jkc/] - Amara Graps
- Amara's done a nice job of collecting various links and
distinguishes herself by offering a brief online tutorial
on the subject.

[http://www.amara.com/current/wavelet.html] - Juan Restropo
- A list of Juan Restrepo's papers pertaining to W-transform wavelets.

[http://www.mcs.anl.gov/home/restrepo/] - Brani Vidakovic
- Vidakovic's papers applying wavelets to statistics and a
Mathematica program to perform discrete wavelet transforms.

[ftp://ftp.isds.duke.edu/pub/Users/brani/papers/]

- WaveLib
- A C and Matlab library of wavelets functions. The goal of this
project is to provide code that is as easy as possible to use.
**[http://www-sim.int-evry.fr/~bourges/WaveLib.html]** - EPIC
- Biorthogonal wavelet encoder/decoder for 8 bit grayscale images
with very efficient decoding. The full source code (written in C)
is provided.
**[http://www.cis.upenn.edu/~eero/epic.html]** - Imager Wavelet Library
- A small collection of routines that allow the user to
manipulate wavelets, with some scattered documentation.
**[http://www.cs.ubc.ca/nest/imager/contributions/bobl/wvlt/download/]** - Mathematica wavelet programs
- This directory contains a series of Mathematica programs
designed to display the features and properties of various types
of wavelets. There are also PostScript files documenting the
programs as well as some additional documents about wavelets.
**[http://timna.Mines.EDU/wavelets/]** - morletpackage
- C and Matlab code to perform 1-D nonorthogonal discrete wavelet
transforms and their inverses. It is set up to use Morlet,
Daubechies and Tryme wavelets.
**[ftp://ftp.nosc.mil/pub/Shensa/]** - p-wavelets
- A software package of algorithms to perform analyses
using M-band compactly supported prime scaling wavelets.
See the documentation in the package for further details.
**[ftp://pandemonium.physics.missouri.edu/pub/wavelets/]** - WaveLab
- This is a library of Matlab routines for wavelet analysis,
wavelet-packet analysis, cosine-packet analysis, and matching
pursuit. There are versions for Mac, UNIX and Windows systems.
Fairly extensive documentation is available.
**[http://playfair.Stanford.EDU/~wavelab/]** - Rice Wavelet Tools
- This is a collection of Matlab files for implementing wavelet
and filter bank design and analysis. It also includes code for
wavelet applications like 1-D and 2-D denoising and SAR image
processing.
**[http://jazz.rice.edu/RWT/]** - Uvi_Wave Software
- This is a collection of wavelet programs that is available either
as a Matlab toolbox or a Khoros toolbox.
**[http://www.tsc.uvigo.es/~wavelets/uvi_wave.html]** - WAVBOX
- A Matlab toolbox for performing wavelet transforms for
finite-duration discrete-time signals. Version 3.0 is freely
available, although version 4.1 (and presumably higher versions)
is a commercial product available from the
Commercial WavBox site.
**[ftp://simplicity.stanford.edu/pub/taswell/]** - wavecompress
- Wavelet-based image compression software written in C.
No documentation is available.
**[ftp://ftp.nosc.mil/pub/Shensa/]** - WaveThresh
- Wavelet transform software with thresholding. This is written
in C with extensive linkages and functions is S-PLUS, a commercially
available language for statistical computations.
**[http://www.stats.bris.ac.uk/pub/software/wavethresh/WaveThresh.html]** - WPLIB
- Wavelet packet library routines, utilities and applications.
This is available in binary form for DOS, NeXT, SGI and Sun
platforms, and the source code is apparently available if
you sign a nondisclosure form.
**[ftp://pascal.math.yale.edu/pub/wavelets/software/wplib/]** - W-Transform Matlab Toolbox
- A toolbox to perform
multiresolution analysis based on the W-transform is available.
The W-transform is a class of discrete transforms that treats
signal endpoints differently than usual and allows signals of
any length to be handled efficiently. In addition to the
toolbox (310 Kb tarred/compressed)
there is a
paper (590 Kb compressed PostScript)
describing the W-transform and a
manual (108 Kb compressed PostScript) for the toolbox.
**[ftp://info.mcs.anl.gov/pub/W-transform/]** - XWPL
- The X Wavelet Packet Laboratory is an X based tool to examine
1-D real-valued signals using wavelets and wavelet packets.
It is designed more as an educational and exploratory tool rather
than a numerical analysis program. It is available only in
binary form for various UNIX platforms.
**[ftp://pascal.math.yale.edu/pub/wavelets/software/xwpl/]**

- Univ. of Salzburg Dept. of Math. Wavelet Links
- A metasite maintained by Andreas Uhl.

[http://www.mat.sbg.ac.at/~uhl/wav.html] - Univ. of S. Carolina Wavelet Links
- A list of links at the South Carolina site that also
houses the Wavelet Digest.

[http://arabigo.math.scarolina.edu/~wavelet/Other.html]

- U.C. Berkeley Wavelet Group
- This group is headed by
Martin Vetterli, but
their Web pages are still in their nascent stages so I'm not
quite sure what they do yet. Stay tuned.

[http://gabor.eecs.berkeley.edu/] - Fractales Projects (INRIA)
- The goal of this project is to develop theoretical tools in the
field of fractal geometry to finely analyze complex signals for the
purposes of modelling, prediction, and synthesis. The
connection is that wavelets are often used for this sort
of work seeing how their multiscale features mesh nicely with
the multiscale form of fractals.

[http://www-rocq.inria.fr/fractales/] - Multiresolution Signal Processing - Univ. of Minn.
- This group is researching the broader field of
multiresolution signal processing which relies heavily
on the use of wavelets. There are a few papers about.

[http://www.ee.umn.edu/groups/msp/index.html] - Wavelets in Astronomy - European Southern Observatory
- This site is concerned with applying wavelets to the
field of astronomy. It contains several papers by
F. Murtagh et al.

[http://http.hq.eso.org/~fmurtagh/wavelets.html] - Wavelets in Statistics - Univ. of Bristol
- The Univ. of Bristol in England is pursuing applications of
wavelets for statistical applications. This site has several
papers and some software.

[http://www.stats.bris.ac.uk/pub/reports/Wavelets/Wavelets.html]

Last updated or checked: Jan. 2, 1996

baum@astra.tamu.edu