📄 wavelet software.htm
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<H2><FONT size=8>W</FONT>avelet Software</H2></FONT>
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<P>The amount of wavelets-related software is multiplying. Many sources are on
Internet. If you are looking for papers and preprints, as well, browse around
in some of the Internet sites listed next. You may find papers in
subdirectories named: "/reports" or "/papers."
<P>
<DL><B>
<DT>"WaveLab" at Stanford University</B>
<DD>David Donoho and Iain Johnstone in the Stanford Statistics Department,
the Stanford graduate students Jonathan Buckheit and Shaobing Chen, and
Jeffrey Scargle at NASA-Ames Research Center have made publicly available:
WaveLab .701, a library of Matlab routines for wavelet analysis,
wavelet-packet analysis, cosine-packet analysis and matching pursuit. The
library, provided for Macintosh, UNIX and Windows machines, is available
free of charge over the Internet. WaveLab currently has over 900 files
consisting of scripts, M-files, MEX-files, datasets, self- running
demonstrations, and on-line documentation. It been used in teaching courses
in adapted wavelet analysis at Stanford and at Berkeley, and is the basis
for wavelet research by the authors. IDL versions of many of these
procedures are in progress (written by myself.. see "Wavelet Workbench"
below). <BR><IMG alt="Red Button" src="Wavelet Software.files/redbutton.gif"
align=top> <A href="http://stat.stanford.edu/~wavelab/">WaveLab Matlab
Software.</A>
<P><B></P>
<DT>"Wavelet Workbench" from Research Systems, Inc.</B>
<DD>Wavelet Workbench (WWB) is a library or "toolkit" written in IDL that
demonstrates wavelet concepts as well as providing wavelet functions to
manipulate data. This software is currently in beta testing. This library
can be run from a graphical user interface ("widget"), or it can be called
from the IDL command level. Wavelet Workbench currently consists of
functions to perform scalegrams, discrete wavelet transforms,
multi-resolution analysis, wavelet packet analysis, wavelet transform
compression, wavelet packet compression, and denoising. To see a simple
example with chirp functions in WWB, click on the link below. If you wish to
be a Beta Tester, that link will also provide instructions for where to
download the software.<BR><IMG alt="Red Button"
src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://www.amara.com/wwbdev/wwbdev.html">Wavelet Workbench IDL
Software.</A>
<P><B></P>
<DT>"Liftpack" from Gabriel Fernandez, Senthil Periaswamy, and Wim
Sweldens.</B>
<DD>Liftpack is a software package written in C for fast calculation of 2D
biorthogonal wavelet transforms using the lifting scheme. The lifting scheme
is a new approach for the construction of "biorthogonal wavelets" entirely
in the spatial domain, i.e., independent of the Fourier Transform. The
lifting scheme ensures fast calculation of the forward and inverse wavelet
transforms that only involve FIR filters. The transform works for images of
arbitrary size with correct treatment of the boundaries and all computations
can be done in-place. Both 1-D and 2-D signals are accepted. All UNIX
platforms are supported. After some modifications, the software runs under
DOS, Windows 3.1/95/NT, and MAC platforms. You can read more about the
algorithms used by LIFTPACK at the link below.<BR><IMG alt="Red Button"
src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://www.cs.sc.edu/~fernande/liftpack/beta.html">LIFTPACK.</A><BR><IMG
alt="Red Button" src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://cm.bell-labs.com/who/wim/papers/papers.html#spie96">LIFTPACK
paper to appear in SPIE 2825, 1996.</A>
<P><B></P>
<DT>Mathematica "Lifting" Notebook by Paul Abbott.</B>
<DD>Abbott has placed a Mathematica tutorial Notebook on Wavelets via
Lifting at the following URL. This Notebook gives some background on
factorization of transforms (such as the FFT) and then works through some of
the examples in the paper: <A
href="http://cm.bell-labs.com/who/wim/papers/papers.html#factor"
<A>http://cm.bell-labs.com/who/wim/papers/papers.html#factor</A> by
Daubechies and Sweldens which describes a technique which can accelerate
wavelet transforms by a factor of two by factoring them in elementary
lifting steps.<BR><IMG alt="Red Button"
src="Wavelet Software.files/redbutton.gif" align=top> <A
href="ftp://guadalcanal.pd.uwa.edu.au/pub/Wavelets/Lifting.nb">Mathematica
"Lifting" Notebook</A>
<P><B></P>
<DT>"WAILI" C++ Wavelet Transform Library by Uytterhoeven, Wulpen,
Jansen.</B>
<DD>Geert Uytterhoeven, Filip Van Wulpen, Maarten Jansen have written a
wavelet transform library. It includes some basic image processing
operations based on the use of wavelets and forms the backbone of more
complex image processing operations. It uses integer wavelet transforms
based on the Lifting Scheme, provides various wavelet transforms of the
Cohen-Daubechies-Feauveau family of biorthogonal wavelets, provides crop and
merge operations on wavelet-transformed images, provides noise reduction
based on wavelet thresholding, and provides scaling, edge enhancement of
images. WAILI is available in source form for research purposes only and may
not be further distributed. Enquiries about the license conditions should be
directed to wavelets@cs.kuleuven.ac.be.<BR><IMG alt="Red Button"
src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://www.cs.kuleuven.ac.be/~wavelets/">"WAILI" C++ Wavelet Transform
Library</A>
<P><B></P>
<DT>"SANTIS" by the Institute of Physiology at the University of Aachen.</B>
<DD>Tool for Signal ANd TIme Series analysis, with graphical user interface.
Contains standard facilities for signal processing as well as advanced
features like wavelet techniques and methods of nonlinear dynamics. Systems:
MS Windows, Linux, SUN Solaris 2.3, SGI Irix 5.3.<BR><IMG alt="Red Button"
src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://www.physiology.rwth-aachen.de/santis/">SANTIS by the University
of Aachen.</A>
<P><B></P>
<DT>"WaveLib" at INT, France</B>
<DD>WaveLib is a free, copyrighted (by INT) C and Matlab library of wavelet
functions to generate wavelets, filters, perform wavelet transforms on 1D
and 2D signals, calculate entropy, and perform thresholding, etc. In
addition, this package contains an interface with Matlab to display a
decomposition of a signal in the time-frequency plane as well as other
useful graphical wavelet displays. The current C and Matlab version is
v.1.2. Visit the Web site below. There is a form where you enter your name,
address, and email, and your interest in WaveLib. After you submit the form,
you will learn where to get the code, documentation, and will read more
details. Note: the WaveLib report is in French, but the technical part
describing the library is in English. (<EM> The link below is dead and email
to the author bounced. Does anyone know the fate of WaveLib?
--AG</EM>)<BR><IMG alt="Red Button"
src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://www-sim.int-evry.fr/~bourges/WaveLib.html">WaveLib at
INT.</A><BR>
<P><B></P>
<DT>"WavBox" Software by WavBox ToolSmiths</B>
<DD>A full-featured Matlab (GUI and command-line) toolbox by Carl Taswell
for performing wavelet transforms and adaptive wavelet packet
decompositions. WavBox contains a collection of wavelet transforms,
decompositions, and related functions that perform multiresolution analyses
of 1-D multichannel signals and 2-D images. The older version 4.1 includes
overscaled pyramid transforms, discrete wavelet transforms, and adaptive
wavelet and cosine packet decompositions by best basis and matching pursuit
as described by Mallat, Coifman, Wickerhauser, and other authors, as well as
Donoho and Johnstone's wavelet shrinkage denoising methods. The new version
4.2 does the above plus it implements Taswell's satisficing search
algorithms for the selection of near-best basis decompositions with either
additive or non-additive information costs. The new version also includes
the continuous wavelet transform valid for all wavelets including the
complex Morlet, real Gabor, and Mexican hat wavelets. Versions 1-3 are in
the public domain. Versions later than this are commercial.<BR><IMG
alt="Red Button" src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://www.wavbox.com/">Wavbox by WavBox ToolSmiths.</A>
<P><B></P>
<DT>"The MATLAB Wavelet Toolbox" by The MathWorks</B>
<DD>A full-featured MATLAB (GUI and command-line) toolbox written by Michel
Misiti, Yves Misiti, Georges Oppenheim and Jean-Michel Poggi, of the
Laboratoire de Mathematiques, Orsay-Paris 11 University, France. The MATLAB
Wavelet Toolbox contains continuous wavelet transforms (CWT), 1D and 2D
discrete wavelet transforms (DWT), multiresolution decomposition and
analysis of signals and images, user-extensible selection of wavelet basis
functions, 1D and 2D wavelet packet transforms, entropy-based wavelet packet
tree pruning for "best-tree" and "best-level" analysis, and soft and hard
thresholding De-noising. Bundled with the Wavelet Toolbox is the new book,
"Wavelets and Filter Banks", by Gilbert Strang and Truong Nguyen. Many
exercises in this book are drawn from the toolbox.<BR><IMG alt="Red Button"
src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://www.mathworks.com/products/wavelet/index.shtml">The MATLAB
Wavelet Toolbox by The MathWorks.</A>
<P><B></P>
<DT>"Wavelet Explorer" from Wolfram Research</B>
<DD>This Mathematica package from Wolfram Research offers a thorough
tutorial for those new to wavelet theory as well as provides a complete set
of tools for advanced wavelet research. Wavelet Explorer generates a variety
of orthogonal and biorthogonal filters and computes scaling functions,
wavelets, and wavelet packets from a given filter. It also contains 1D and
2D wavelet and wavelet packet transforms, 1D and 2D local trigonometric
transforms and packet transforms, and it performs multiresolution
decomposition as well as 1D and 2D data compression and denoising tasks.
Graphics utilities are provided to allow the user to visualize the results.
It is written entirely in Mathematica with all source code open, so that the
user is free to customize and extend all of the functions.<BR><IMG
alt="Red Button" src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://store.wolfram.com/view/wavelet/">Wavelet Explorer by Wolfram
Research.</A>
<P><B></P>
<DT>"Wavelet Image Compression Construction Kit" from Dartmouth</B>
<DD>The Wavelet Image Compression Construction Kit is a set of free C++
source files for facilitating research in wavelet-based image compression.
This code implements a wavelet transform-based image coder for grayscale
images, and is designed to be a foundation upon which more more
sophisticated coders can be built. <BR><IMG alt="Red Button"
src="Wavelet Software.files/redbutton.gif" align=top> <A
href="http://www.cs.dartmouth.edu/~gdavis/wavelet/wavelet.html">Wavelet
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