Wavelet Resources
Welcome to the MathSoft
Wavelet Resources page: your site for onestop shopping for
wavelet papers. This page is a list of many preprints on the
subject of wavelets and their various applications in the worlds
of mathematics, engineering and physics. Many of these sources
were tracked down through the Wavelet
Digest which is a clearinghouse for wavelet
information of all sorts. As a convenience, we now provide links
to some of the tools
you need to view papers in this list.
By its very nature this page is perpetually under
construction. Any help you can lend in keeping this page up to
date will be appreciated greatly. If there is a preprint that you
are aware of that is available via anonymous ftp and does not
appear here please mail wavelets@mathsoft.com
and it will be added as soon as possible.
Many thanks are due to Steve Baum for compiling baum.bib,
an exhaustive list in BibTex of wavelet references for both
published papers and technical reports. Most of the papers in his
list that are available via anonymous ftp have been added here;
most of those that didn't make it to the page couldn't be found
at the supplied address.
One quick plug: MathSoft develops and markets S+Wavelets,
an objectoriented toolkit for advanced signal and image
analysis, time series analysis, statistical signal estimation and
data compression.
Seeking Wavelets Expert 
MathSoft is seeking an expert in
wavelets and applications to participate in writing a
Mathcad Electronic Book on wavelets immediately. More
information will be posted as soon as possible, but we
welcome inquiries.

Introductions to Wavelets
 Dl
C. S. Burrus and R. A. Gopinath, "A
Tutorial Overview of Wavelets, Filter Banks and
Interrelationships"
 Dl
T. Edwards, "Discrete
Wavelet Transforms: Theory and Application."
 Dl
E. Gootman and M. Wickerhauser, "Elementary
Wavelets."
 A. Graps, "An
Introduction To Wavelets."
 Dl
C. Heil and D. Walnut, "Continuous
and Discrete Wavelet Transforms."
 Dl
B. Jawerth and W. Sweldens, "An
Overview of Wavelet Based Multiresolution Analysis".
An abstract
is also available.
 Dl
J. Lewalle, "Tutorial
on Wavelet Analysis of Experimental Data"
local miror
 Dl
P. Schröder and W. Sweldens, "Building
Your Own Wavelets at Home." An abstract
is also available.
 Dl
G. Strang, "Wavelets"
 Dl
G. Strang "Wavelets
and dilation equations: a brief introduction."
 Dl
B. Vidakovic, "Wavelets
for Kids," also part
2.
General Theory
 L. Andersson, N. Hall, B. Jawerth and G. Peters, "Wavelets
on Closed Subsets of the Real Line"
 Dl
P. Auscher, G. Weiss and M. V. Wickerhauser, "Local
Sine and Cosine Bases of Coifman and Meyer and the
Construction of Smooth Wavelets"
 C. Basdevant and V. Perrier, "Besov
Norms in Terms of Continuous Wavelet Transforms and
Application to Structure Functions."
 B.E. Bassil, G.J. Dickson and D.M. Monro, "Orthonormal
Wavelets With Balanced Uncertainty".
 G. Beylkin and N. Saito, "Multiresolution
Representations using the Autocorrelation Functions of
Compactly Supported Wavelets."
 Dl
G. Beylkin and N. Saito, "Wavelets,
their Autocorrelation Functions and Multiresolution
Analysis of Signals."
 G. Beylkin and B. Torrésani, "Implementation
of Operators via Filter Banks, Autocorrelation Shell and
Hardy Wavelets."
 A. G. Bruce, H. Gao and D. Ragozin, "Nonsmooth
Wavelets: Graphing Functions Unbounded on Every
Interval."
 C. Cabrelli, C. Heil, and U. Molter, "Accuracy
of Lattice Translates of Several Multidimensional
Refinable Functions."
 R. C. Calderbank, I. Daubechies, W. Sweldens and B. Yeo "Wavelet
Transforms that Map Integers to Integers." There
is also an uncompressed
version.
 D. Chen, "Extended
Families of Cardinal Spline Wavelets."
 D. Chen, "Spline
Wavelets of Small Support."
 D. Chen, "Characterization
of Biorthogonal Cardinal Spline Wavelet Bases."
 D. Chen, "Cardinal
Spline Wavelets", dissertation. Also part
2, part
3, part
4, part
5 and part
6.
 Dl
S. Chen and D. Donoho, "Atomic
Decomposition by Basis Pursuit."
 A. Cohen, W. Dahmen and R. DeVore, "Multiscale
Decompositions on Bounded Domains."
 J. Cohen, "The
Foot Problem in Wavelet Packet Splitting." A
Mathematica notebook converted to Postscript.
 J. Cohen, "Schauder
Basis for [0,1]." A Mathematica notebook
converted to Postscript.
 J. Cohen, "The
LittlewoodPaleyStein Wavelet." A Mathematica
notebook converted to Postscript.
 J. Cohen, "BattleLemarie
Wavelets." A Mathematica notebook converted to
Postscript.
 J. Cohen, "The
Daubechies Minimum Phase Wavelets." A
Mathematica notebook converted to Postscript.
 J. Cohen, "Meyer
Wavelets." A Mathematica notebook converted to
Postscript.
 Dl
R. Coifman and M. V. Wickerhauser, "EntropyBased
Algorithms for Best Basis Selection"
 Dl
R. Coifman and M. Wickerhauser, "Bestadapted
Wave Packet Bases."
 Dl
R. Coifman(?), "Numerical
Harmonic Analysis."
 Dl
R. Coifman, Y. Meyer and M. Wickerhauser, "Size
Properties of Wavelets Packets."
 Dl
R. Coifman and Y. Meyer, "Orthonormal
Wave Packet Bases."
 Dl
R. Coifman and M. V. Wickerhauser, "Wavelets
and Adapted Waveform Analysis"
 Dl
R. Coifman, Y. Meyer and M. Wickerhauser, "Adapted
Wave Form Analysis, Wavelet Packets and
Applications."
 D. Colella and C. Heil, "Matrix
Refinement Equations: Existence and Accuracy."
 S. Dahlke, W. Dahmen, E. Schmitt and I. Weinreich, "Multiresolution
Analysis and Wavelets on S^2 and S^3."
 W. Dahmen, "Stability
of Multiscale Transformations."
 W. Dahmen and C. A. Micchelli, "Biorthogonal
Wavelet Expansions."
 Dl
G. Davis, S. Mallat and Z. Zhang, "Adaptive
Nonlinear Approximations."
 Dl
G. Davis, "Adaptive
Nonlinear Approximations."
 Dl
G. Davis, S. Mallat and Z. Zhang, "Adaptive
TimeFrequency Approximations with Matching
Pursuits."
 I. Daubechies and W. Sweldens, . An abstract
is also available.
 C. deBoor, R. DeVore and R. Amos, "On the
Construction of Multivariate (Pre)Wavelets."
 R. L. deQueiroz, "On
Lapped Transforms."
 M. Girardi and W. Sweldens, "A
New Class of Unbalanced Haar Wavelets That Form an
Unconditional Basis for Lp on General Measure
Spaces." An abstract
is also available.
 S. Haykin and S. Mann,
"The
Chirplet Transform: A New Signal Analysis Technique Based
on Affine Relationships in the TimeFrequency
Plane." This about 3.5 MB. Access denied.
Dl
There is short htmlversion:
Chirplet transform: Physical Consideration and local mirror
 C. Heil, G. Strang and V. Strela, "Approximation
By Translates of Refinable Functions."
 C. Heil and G. Strang, "Continuity
of the Joint Spectral Radius: Application to
Wavelets."
 Dl
B. Jawerth and W. Sweldens, "Biorthogonal
Smooth Local Trigonometric Bases." An abstract
is also available.
 B. Jawerth and W. Sweldens, "Weighted
Multiwavelets on General Domains."
 M. K. Kwong and P. T. Peter Tang, "WMatrices,
Nonorthogonal Multiresolution Analysis and Finite Signals
of Arbitrary Length."
 G. Leaf, J. M. Restrepo and G. Schlossnagle, "Periodized
Daubechies Wavelets."
 J. Lippus, "Wavelet
Coefficients of Functions of Generalized Lipschitz
Classes."
 Dl
S. Mallat and Z. Zhang, "Matching
Pursuit with TimeFrequency Dictionaries."
 E. J. McCoy, D. B. Percival and A. T. Walden, "On
the Phase of LeastAsymmetric Scaling and Wavelet
Filters."
 R. Piessens and W. Sweldens, "Wavelet
Sampling Techniques." An abstract
is also available.
 J. Shen and G. Strang, "The
zeros of the Daubechies polynomials."
 J. Shen and G. Strang, "Asymptotics
of Daubechies Filters, Scaling Functions and
Wavelets."
 M. J. Shensa, "An
Inverse DWT for Nonorthogonal Wavelets"
 W. Sweldens, "Compactly
Supported Wavelets which are Biorthogonal to a Weighted
Inner Product." An abstract
is also available.
 W. Sweldens, "The
Lifting Scheme: A CustomDesign Construction of
Biorthogonal Wavelets." An abstract
is also available.
 W. Sweldens, "The
Lifting Scheme: A Construction of Second Generation
Wavelets." An abstract
is also available.
 B. Suter and X. Xia, "Vector
Valued Wavelets and Vector Filter Banks."
 Dl
C. Taswell, "Wavelet
Transform Algorithms for Finite Duration DiscreteTime
Signals."
 C. Taswell, "NearBest
Basis Selection Algorithms with NonAdditive Information
Cost Functions."
 K. Urban, "On
DivergenceFree Wavelets."
 Dl
R. O. Wells Jr., "Recent
Advances in Wavelet Technology" psfile without figures
 Dl
M. V. Wickerhauser(?), "Entropy
of a Vector Relative to a Decomposition."
 Dl
M. V. Wickerhauser, "Lectures
on Wavelet Packet Algorithms"
 Dl
M. V. Wickerhauser, "Smooth
Localized Orthonormal Bases"
 C. Zarowski, "Notes
on Orthogonal Wavelets and Wavelet Packets"
 V. Zavadsky, "Multiresolution
Approximations of Banach Spaces."
 V. Zavadsky, "Wavelet
Approximation of Sampled Functions."
Frame Decompositions
MBand Wavelets and Filter Banks
Wavelets and General Signal Processing
 D. E. Ashpis and J. Lewalle, "Transport
in bypass transition: mapping the active time scales
using wavelet techniques"
 D.E. Ashpis and J. Lewalle, "Demonstration
of wavelet techniques in the spectral analysis of bypass
transition data"
 Dl
C. Basdevant, V. Perrier and T. Philipovitch, "Wavelet
Spectra Compared to Fourier Spectra."
 J.P. Bonnet, J. Lewalle and M.N. Glauser, "Coherent
Structures: Past, Present and Future."
 G. Buresti, J. Lewalle and P. Petagna, "Wavelet
statistics and the nearfield structure of coaxial
jets"
 Dl
C. S. Burrus and R. A. Gopinath, "WaveletBased
Lowpass/Bandpass Interpolation"
 C. S. Burrus, R. A. Gopinath and J. E. Odegard, "Design
of Linear Phase Cosine Modulated Filter Banks for Subband
Image Compression"
 Dl
S. Cabrera, V. Krienovich and O. Sirisaengtaksin, "Wavelets
Compress Better Than All Other Methods: A 1D
Theorem."
 Dl
S. Cabrera, V. Krienovich and O. Sirisaengtaksin, "Wavelet
Nerual Networks are Optimal Approximators for Functions
of One Variable."
 R. Carmona, W. L. Hwang and B. Torresani, "Characterization
of Signals by the Ridges of Their Wavelet
Transforms."
 R. Carmona, W. L. Hwang and B. Torresani, "MultiRidge
Detection and TimeFrequency Reconstruction."
 R. Coifman, "Adapted
Multiresolution Analysis, Computation, Signal Processing
and Operator Theory"
 Dl
R. Coifman, Y. Meyer, S. Quake and M. Wickerhauser, "Signal
Processing and Compression with Wave Packets."
 Dl
. Coifman, Y. Meyer and M. V. Wickerhauser, "Wavelet
Analysis and Signal Processing"
 P. Crane, H. Higuchi and J. Lewalle, "On
the structure of twodimensional wakes behind a pair of
flat plates"
 M. Goldburg, "Applications
of Wavelets to Quantization and Random Process
Representations." About 1.1 MB.
 D. M. Healy, Jr., J. Lu and J. B. Weaver, "Signal
Recovery and Wavelet Reproducing Kernels."
 D. M. Healy, Jr., J. Lu, J. B. Weaver and Y. Xu, "Noise
Reduction With Multiscale Edge Representation and
Perceptual Criteria."
 D. M. Healy, Jr. and J. Lu, "Contrast
Enhancement via Multiscale Gradient
Transformations."
 W. Hwang and S. Mallat, "Singularity
Detection and Processing with Wavelets."
 Dl
B Jawerth, Y. Liu and W. Sweldens, "Signal
Compression with Smooth Local Trigonometric Bases."
An abstract
is also available.
 M. M. Lankhorst and M. D. van der Laan, "WaveletBased
Signal Approximation with Genetic Algorithms."
 J. Lewalle, K. Read and M. T. Schobeiri, "Effect
of unsteady wakepassing frequency on boundary layer
transition  experimental investigation and wavelet
analysis"
 J. Lewalle, S.J. Murphy and F.W. Peek, "Wavelet
analysis of olfactory nerve response to stimulus"
 J. Lewalle, "Wavelet
analysis of experimental data: some methods and the
underlying physics"
 G. Strang, "Eigenvalues
of (!2)H and convergence of the cascade algorithm."
 Dl
G. Strang, "Creating
and comparing wavelets."
 A. R. Tate, "Pattern
Recognition Analysis of in vivo Magnetic Resonance
Spectra"
 G. Uytterhoeven, "Design
and Implementation of Compression Algorithms using
Multiwavelets."
Wavelets and Image Processing
 E. Adelson and E. Simoncelli, "Subband
Image Coding with Threetap Pyramids."
 E. H. Adelson, W. T. Freeman, D. J. Heeger and E. P.
Simoncelli, "Shiftable
MultiScale Transforms."
 E. H. Adelson and E. P. Simoncelli, "Subband
Transforms."
 V.R. Algazi, R.R. Estes and J. Lu, "Comparison
of wavelet image coders using the Picture Quality Scale
(PQS)."
 M. Bhatia, W. C. Karl, and A. S. Willsky, "A
WaveletBased Method for Multiscale Tomographic
Reconstruction."
 M. Bhatia, W. C. Karl, and A. S. Willsky, "Using
Natural Wavelet Bases and Multiscale Stochastic Models
for Tomographic Reconstruction."
 A. Bijaoui, B. Lopez, C. Perrier and J. L. Stark, "Image
Reconstruction by the Wavelet Transform Applied to
Aperture Synthesis."
 A. Bijaoui, F. Murtagh and J. L. Stark, "Image
Restoration with Noise Suppression Using a Wavelet
Transform and a Multiresolution Support Constraint,"
with figures.
 A. Bijaoui, F. Murtagh and J. L. Stark, "Restauration
des Images MultiEchelles par l'Algorithm a Trous."
Be forwarned: this is 4 MB.
 A. Bijaoui, F. Murtagh and J. L. Stark, "Multiresolution
Support Applied to Image Filtering and Restoration."
 A. Bijaoui, F. Murtagh and J. L. Stark, "Multiresolution
and Astronomical Image Processing."
 A. Bijaoui, F. Murtagh and J. L. Stark, "Image
Restoration with Noise Suppression Using a
Multiresolution Analysis Support."
 A. Bijaoui, F. Murtagh ,J. L. Stark and W. Zeilinger, "Object
Detection Using Multiresolution Analysis."
 R. A. Carmona, R. D. Frostig and W. L. Hwang, "Wavelet
Analysis for Brain Function Imaging."
 H. Chao and P. Fisher, "An
Approach of Fast Integer Reversible Wavelet Transforms
for Image Compression."
 B. Deng, B. D. Jawerth, G. Peters and W. Sweldens, "Wavelet
Probing for Compression Based Segmentation". An abstract
is also available.
 J. Fan and A. Laine, "An
Adaptive Approach for Texture Segmentation by
MultiChannel Wavelet Frames.".
 W. T. Freeman and E. P. Simoncelli, "The
Steerable Pyramid: A Flexible Architecture for
MultiScale Derivative Computation." / C
Source Code (75k)
 A. Grzeszczak, M. K. Mandal, S. Panchanathan and T. Yeap,
"VLSI
Implementation of Discrete Wavelet Transform."
 O. Guleryuz, M. T. Orchard and Z. Xiong, "A
DCTbased Embedded Image Coder."
 D. M. Healy, Jr., J. Lu and J. B. Weaver, "Contrast
Enhancement of Medical Images Using Multiscale Edge
Representation."
 C. Heil, P. N. Heller, G. Strang, V. Strela, and P.
Topiwala, "Accuracy
of Lattice Translates of Several Multidimensional
Refinable Functions."
 C. Herley, M. T. Orchard, K. Ramchandran and Z. Xiong, "Flexible
Treestructured Signal Expansions for Compression Using
TimeVarying Filter Banks."
 M. L. Hilton, B. D. Jawerth and A. Sengupta, "Compressing
Still and Moving Images with Wavelets" with figure.
 P. Kovesi, "Image
Features from Phase Congruency"
 B. Lin, "Wavelet
Phase Filter for Denoising Tomographic Image
Reconstruction"
 M. Louys, F. Murtagh and J. L. Stark, "Astronomical
Image Compression Using the Pyramidal Median
Transform." Also summary
version.
 M. K. Mandal, T. Aboulnasr and S. Panchanathan, "Image
Indexing Using Moments and Wavelets."
 M. K. Mandal, E. Chan, X. Wang and S. Panchanathan, "Multiresolution
Motion Estimation Techniques for Video Compression."
 M. K. Mandal, S. Panchanathan and T. Aboulnasr, "Choice
of Wavelets for Image Compression."
 D.M. Monro and B.G. Sherlock, "Psychovisually
Tuned Wavelet Fingerprint Compression".
 D.M. Monro and B.G. Sherlock, "Optimised
Wavelets for Fingerprint Compression".
 P. Moulin, "A
Multiscale Relaxation Algorithm for SNR Maximization in
2D Nonorthogonal Subband Coding."
 F. Murtagh and J. L. Stark, "Multiresolution
Image Analysis Using Wavelets."
 F. Murtagh and J. L. Stark, "Image
Restoration with Noise Suppression Using the Wavelet
Transform," with figure
1, "figure
2, figure
3, figure
4, figure
5a, figure
5b, figure
6, and figure
7.
 M. T. Orchard, Z. Xiong and Y. Zhang, "A
Simple Deblocking Algorithm for JPEG Compressed Images
Using Overcomplete Wavelet Representations."
 M. T. Orchard, K. Ramchandran and Z. Xiong, "Wavelet
Packets Image Coding Using SpaceFrequency
Quantization."
 M. T. Orchard, K. Ramchandran and Z. Xiong, "Spacefrequency
Quantization for Wavelet Image Coding."
 H. Pan, "Uniform
FullInformation Image Matching Using Complex Conjugate
Wavelet Pyramids", with figures.
 H.Pan, "General
Stereo Image Matching Using Symmetric Complex
Wavelets," presented at SPIE Conference: Wavelet
Applications in Signal and Image Processing, VI. Denver,
August 1996, Published in SPIE Proceedings, vol. 2825.
 P. Schröder and W. Sweldens, "Spherical
wavelets: Efficiently representing functions on the
sphere." An abstract
is also available.
 P. Schröder and W. Sweldens, "Spherical
Wavelets: Texture Processing." An abstract
is also available.
 J. A. Solomon, J. Villasenor, A. B. Watson and G. Y.
Yang, "Visual
Thresholds For Wavelet Quantization Error."
 V. Strela, P. Heller, G. Strang, P. Topiwala and C. Heil,
"The
application of multiwavelet filter banks to signal and
image processing."
 G. Weiss, "TimeFrequency
and TimeScaling Methods in Signal and Image
Processing"
 M. Wickerhauser, "Picture
Compression by BestBasis Subband Coding."
 M. V. Wickerhauser, "HighResolution
Still Picture Compression"
 Z. Xiong, "Representation
and Coding of Images Using Wavelets."
The FBI Wavelet Fingerprint Compression Standard
Wavelets and Speech Processing
Wavelets and Ordinary Differential Equations
Wavelets and Partial Differential Equations
 A. Averbuch, G. Beylkin R. R. Coifman and M. Israeli, "Multiscale
Inversion of Elliptic Operators."
 E. Bacry, S. Mallat and G. Papanicolaou, "A
Wavelet Based SpaceTime Adaptive Numerical Method for
Partial Differential Equations"
 G. Beylkin and N. Coult, "A
Multiresolution Strategy for Reduction of Elliptic PDE's
and Eigenvalue Problems."
 G. Beylkin and J. H. Keiser, "On
the Adaptive Numerical Solution of Nonlinear Partial
Differential Equations in Wavelet Bases."
 D. M. Bond and S. A. Vavasis, "Fast
Wavelet Transforms for Matrices Arising From Boundary
Element Methods."
 T. Chan, W. Tang and W. Wan, .
 P.
Charton and V. Perrier, "Factorisation
sur Bases d'Ondelettes du Noyeau de la Chaleur et
Algorithmes Matriciels Rapides Associes."
 P. Charton and V. Perrier, "Towards
a Wavelet Based Numerical Scheme for the TwoDimensional
NavierStokes Equations."
 P. Charton and V. Perrier, "A
PseudoWavelet Scheme for the TwoDimensional
NavierStokes Equations."
 S. Dahlke and A. Kunoth, "Biorthogonal
Wavelets and Multigrid."
 S. Dahlke and I. Weinreich, "WaveletGalerkin
Methods: An Adapted Biorthogonal Wavelet Basis."
 S. Dahlke and I. Weinreich, "Wavelet
Bases Adapted to PseudoDifferential Operators."
 W. Dahmen and A. Kunoth, "Multilevel
Preconditioning."
 W. Dahmen, A. Kunoth and K. Urban "A
WaveletGalerkin Method for the StokesEquations,"
also full
version with pictures.
 R. Glowinski, T. Pan , R. O. Wells, Jr. and X. Zhou, "Wavelet
and Finite Element Solutions for the Neumann Problem
Using Fictitious Domains"
 R. Glowinski, A. Rieder, R. O. Wells, Jr. and X. Zhou, "A
Wavelet Multigrid Preconditioner for Dirichlet Boundary
Value Problems in General Domains."
 R. Glowinski, A. Rieder, R. O. Wells, Jr. and X. Zhou, "A
Preconditioned CGMethod for WaveletGalerkin
Discretizations of Elliptic Problems"
 F. Heurtaux, F. Planchon and M. V. Wickerhauser, "Scale
Decomposition in Burgers' Equation"
 A. Jiang, .
 J. H. Keiser, "On
I. Wavelet Based Approach to Numerical Solution on
Nonlinear Partial Differential Equations and II.
Nonlinear Waves in Fully Discrete Dynamical
Systems."
 A. Kunoth, "Multilevel
Preconditioning  Appending Boundary Conditions by
Lagrange Multipliers."
 G. Leaf and J. M. Restrepo, "WaveletGalerkin
Discretization of Hyperbolic Equations."
 J. Lewalle, "Wavelet
Transforms of some Equations of Fluid Mechanics"
 J. Lewalle, "Energy
Dissipation in the WaveletTransformed NavierStokes
Equations"
 J. Lewalle, "On
the effect of boundary conditions on the multifractal
statistics of incompressible turbulence"
 J. Lewalle, "Diffusion
is Hamiltonian".
 J. Lewalle, "Gaussian
Wavelets as Green's functions".
 D. Lu, T. Ohyoshi and L. Zhu, "Treatment
of Boundary Conditions in the Application of
WaveletGalerkin Method to a SH Wave Problem"
 P. Monasse and V. Perrier, "Orthonormal
Wavelet Bases Adapted for Partial Differential Equations
with Boundary Conditions."
 A. Rieder and X. Zhou, "On
the Robustness of the Damped VCycle of the Wavelet
Frequency Decompositions Multigrid Method"
 A. Rieder, R. O. Wells, Jr. and X. Zhou, "A
Wavelet Approach to Robust Multilevel Solvers for
Anisotropic Elliptic Problems."
 A. Rieder, R. O. Wells, Jr. and X. Zhou, "On
the Wavelet Frequency Decomposition Method"
 K. Urban, "A
WaveletGalerkin Algorithm for the
DrivenCavityStokesProblem in Two Space
Dimensions."
 R. O. Wells, Jr. and X. Zhou, "Wavelet
Solutions for the Dirichlet Problem"
 R. O. Wells, Jr. and X. Zhou, "Wavelet
Interpolation and Approximate Solution of Elliptic
Partial Differential Equations"
 R. O. Wells, Jr. and X. Zhou, "Representing
the Geometry of Domains by Wavelets with Applications to
Partial Differential Equations"
 R. O. Wells, Jr., "Multiscale
Applications of Wavelets to Solutions of Partial
Differential Equations"
Wavelets and Numerical Analysis
 G. Beylkin, R. Coifman and V. Rokhlin, "Fast
Wavelet Transforms and Numerical Algorithms I."
 G. Beylkin, "On
the Representation of Operators in Bases of Compactly
Supported Wavelets."
 G. Beylkin, "On
the Fast Algorithm for Multiplication of Functions in the
Wavelet Bases."
 G. Beylkin, "Wavelets
and Fast Numerical Algorithms." Lecture notes
for an AMS short course, 1993.
 G. Beylkin, "Wavelets,
Multiresolution Analysis and Fast Numerical
Algorithms." Draft of INRIA lectures, May 1991.
 G. Beylkin and M. E. Brewster, "A
Multiresolution Strategy for Numerical
Homogenization."
 P. Charton and V. Perrier, "Produits
Rapides MatricesVecteur en Bases d'Ondelettes:
Application a la Resolution Numerique d'Equation aux
Derivees Partielles."
 P. Charton, "Produits
de Matrices Rapides en Bases d'Ondelettes: Application a
la Resolution Numerique d'Equation aux Derivees
Partielles."
 N. H. Getz, "A
Fast Discrete Periodic Wavelet Transform." An
associated toolbox
of Matlab routines is also available.
 L. Jameson, "On
the SplineBased Wavelet Differentiation Matrix."
 L. Jameson, "On
the Differention Matrix for DaubechiesBased Wavelets on
an Interval."
 L. Jameson, "On
the DaubechiesBased Wavelet Differentiation
Matrix."
 L. Jameson, "On
the Wavelet Optimized Finite Difference Method."
 E. Kolaczyk, "Wavelet
Methods for the Inversion of Certain Homogeneous Linear
Operators in the Presence of Noisy Data," with fig
5.1, figs
5.2, fig
5.4, fig
5.5, figs
5.6, figs
5.8, fig
5.10, figs
5.11, fig
5.13, and figs
5.14.
 R. Piessens and W. Sweldens, "Quadrature
Formulae and Asymptotic Error Expansion of Wavelet
Approximations of Smooth Functions." An abstract
is also available.
 R. Piessens and W. Sweldens, "Asymptotic
Error Expansion of Wavelet Approximations of Smooth
Functions II." An abstract
is also available.
 W. C. Shann, "Quadratures
Involving Polynomials and Daubechies' Wavelets."
 W. Sweldens, "Construction
and Application of Wavelets in Numerical Analysis."
 M. Wickerhauser, "Nonstandard
Matrix Multiplication."
 M. V. Wickerhauser, "Computation
with Adapted TimeFrequency Atoms"
 M. V. Wickerhauser, "Wavelet
Approximations to Jacobians and the Inversion of
Complicated Maps"
Wavelets and Statistics
 E. H. Adelson and E. P. Simoncelli, "Noise
Removal via Bayesian Wavelet Coring."
 A. G. Bruce, D. L.Donoho, H. Gao and R. D. Martin, "Denoising
and Robust Nonlinear Wavelet Analysis."
 A. G. Bruce and H. Gao, "WaveShrink:
Shrinkage Functions and Thresholds."
 A. G. Bruce and H. Gao, "WaveShrink
with Semisoft Shrinkage."
 A. G. Bruce and H. Gao, "Understanding
WaveShrink: Variance and Bias Estimation."
 A. G. Bruce, H. Gao and D. Ragozin, "S+WAVELETS:
An ObjectOriented Toolkit for Wavelet Analysis."
 A. G. Bruce and H. Gao, "S+WAVELETS:
Algorithms and Technical Details."
 J. Buckheit and D. Donoho, "WaveLab
and Reproducible Research."
 R. Coifman and N. Saito, "Local
Discriminant Bases."
 R. Coifman and F. Majid, "Adapted
Waveform Analysis and Denoising."
 R. Coifman and D. Donoho, "TranslationInvariant
DeNoising."
 A. Davis, A. Marshak and W. Wiscombe, "WaveletBased
Multifractal Analysis of NonStationary and/or
Intermittent Geophysical Signals." with figures.
 B. Deylon and A. Juditsky, "Wavelet
Estimators. Global Error Mesures Revisited."
 D. Donoho, "Nonlinear
Solution of Linear Inverse Problems by WaveletVaguelette
Decomposition"
 Dl
D. Donoho, "Smooth
Wavelet Decompositions with Blocky Coefficient
Kernels"
 Dl
D. Donoho, "Denoising
by Soft Thresholding"
 D. Donoho, "Interpolating
Wavelet Transforms"
 D. Donoho, "Unconditional
Bases are Optimal Bases for Data Compression and for
Statistical Estimation"
 Dl
D. Donoho and I. Johnstone, "Adapting
to Unknown Smoothness by Wavelet Shrinkage"
 Dl
D. Donoho and I. Johnstone, "Ideal
Spatial Adaptation via Wavelet Shrinkage"
 Dl
D. Donoho and I. Johnstone, "Minimax
Estimation via Wavelet Shrinkage"
 Dl
D. Donoho and I. Johnstone, "Minimax
Risk over l_p Balls"
 D. Donoho, I. Johnstone, G. Kerkyacharian and D. Picard, "Density
Estimation via Wavelet Shrinkage"
 Dl
D. Donoho, I. Johnstone, G. Kerkyacharian and D. Picard, "Wavelet
Shrinkage: Asymptopia?"
 Dl
D. Donoho and I. Johnstone, "Ideal
Denoising in an Orthonormal Basis Chosen From a Library
of Bases."
 H. Y. Gao, "Choice
of Thresholds for Wavelet Shrinkage Estimate of the
Spectrum."
 P. Goel and B. Vidakovic, "Wavelet
Transformations as Diversity Enhancers"
 I. Johnstone, "Minimax
Bayes, Asymptotic Minimax and Sparse Wavelet Priors"
 I. M. Johnstone and B. W. Silverman, "Wavelet
Threshold Estimators for Data with Correlated
Noise."
 A. Juditsky, "Wavelet
Estimators. Adapting To Unkown Smoothness."
 A. Juditsky and F. Leblanc, "Computing
Wavelet Density Estimators for Stochastic
Processes."
 G. Katul and B. Vidakovic, "Partitioning
eddy motion using Lorentz wavelet filtering."
 P. Moulin, "Wavelet
Thresholding Techniques for Power Spectrum
Estimation."
 G.P. Nason and B. W. Silverman, "The
Discrete Wavelet Transform in S."
 G.P. Nason and B. W. Silverman, "the
Stationary Wavelet Transform and some Statistical
Applications."
 G.P. Nason, "Wavelet
Regression by CrossValidation"
 A. B. Owen, "Monte
Carlo Variance of Scrambled Equidistribution
Quadrature."
 D. B. Percival, "On
the Estimation of the Wavelet Variance."
 A. Pinheiro and B. Vidakovic, "Estimating
the Square Root of a Density Via Compactly Supported
Wavelets."
 N. Saito, "Local
Feature Extraction and Its Appplications Using a Library
of Bases."
 N. Saito, "Simultaneous
Noise Supression and Signal Compression using a Library
of Orthonormal Bases and the Minimum Description Length
Criterion."
 B. Vidakovic, "A
Note on Random Densities via Wavelets"
 B. Vidakovic, "Nonlinear
Wavelet Shrinkage with Bayes Rules and Bayes
Factors."
 A. T. Walden, D. B. Percival and E. J. McCoy, "Spectrum
Estimation by Wavelet Thresholding of Multitaper
Estimators."
 M. V. Wickerhauser, "Fast
Approximate Factor Analysis"
Wavelets and Econometrics
Wavelets and Fractals
Wavelets and Communication Theory
 J. Dill and A. R. Lindsey, "Wavelet
Packet Modulation: A Generalized Method for Orthogonally
Multiplexed Communication."
 R. Learned, H. Krim, B. Claus, A. S. Willsky, and W. C.
Karl, "WaveletPacketBased
Multiple Access Communication."
 A. R. Lindsey, "Multidimensional
Signaling via Wavelet Packets."
 A. R. Lindsey, Generalized Orthogonally Multiplexed
Communication via Wavelet Packet Bases, chapter
1, chapter
2, chapter
3, chapter
4, chapter
5, chapter
6. Also with appendix
and references.
Wavelets and Computer Graphics
 M. Cohen, S. Gortler, P. Hanrahan and P. Schröder, "Wavelet
Radiosity." With figure
12 and figure
14 .
 M. Cohen, S. Gortler, P. Hanrahan and P. Schröder, "Wavelet
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 A. Dreger, M. H. Gross R. Koch and L. Lippert, "A
New Method to Approximate the Volume Rendering Equation
using Wavelet Bases and Piecewise Polynomials,"
with figures
56, figures
710, and figures
1113. Also abstract
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Department, ETH Zürich, 1994.
 A. Fournier, "Wavelets
and their Applications in Computer Graphics."
This is 2.5 MB compressed.
 M. H. Gross and L. Lippert, "Fast
Wavelet Based Volume Rendering by Accumulation of
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6, figure
7, figure
8, figure
9, figure
10 and figure
11. Also abstract
available. Technical Report No. 228, Computer Science
Department, ETH Zürich, 1995.
 M. H. Gross and R. Koch, "Visualization
of Multidimensional Shape and Texture Features in Laser
Range Data using ComplexValued Gabor Wavelets."
 M. H. Gross and L. Lippert, "Raytracing
of Multiresolution BSpline Volumes." Also abstract
available. Technical Report No. 239, Computer Science
Department, ETH Zürich, 1996.
 P. Hanrahan and P. Schröder, "Wavelet
Methods for Radiance Computations." With figure
8, figure
9 left, figure
9 right, figure
10, figure
10 top left and figure
10 top right.
 C. Herley, "Exact
Interpolation and Iterative Subdivision Schemes."
 P. Schröder, W. Sweldens and D. Zorin, "Interpolating
Subdivision for Meshes with Arbitrary Topology".
An abstract
is also available.
Wavelets and Physics
 C. Best and A. Schäfer, "Variational
Description of Statistical Field Theories using
Daubechies' Wavelets."
 G. Beylkin, J. Dunn and D. Gines, "Order
N Static and QuasiStatic Computations in Electrodynamics
using Wavelets."
 Dl
J. C. Cohen and T. Chen, "Fundamentals
of the Discrete Wavelet Transform for Seismic Data
Processing."
 A. Fournier, "Wavelet
Analysis of Observed Geopotential and Wind: Blocking and
Local Energy Coupling Across Scales."
 A. Fournier, "Wavelet
Multiresolution Analysis of Numerically Simulated 3d
Radiative Convection."
 A. Fournier, "Wavelet
Representation of LowerAtmospheric Long Nonlinear Wave
Dynamics, Governed by the BenjaminDavisOnoBurgers
Equation."
 F. Hermann, "A
scaling medium representation, a discussion on welllogs,
fractals and waves." An abstract
is also available.
 I. Pierce and L. Watkins, "Modelling
optical pulse propagation in nonlinear media using
wavelets."
 W. C. Shann, "Finite
Element Methods for Maxwell's Equations with Stationary
Magnetic Fields and Galerkinwavelet Methods for Two
Point Boundary Value Problems," with separate abstract
and table
of contents.
 L. R. Watkins and Y. R. Zhou, "Modelling
Propagation in Optical Fibres using Wavelets."
 Dl
R. O. Wells, "Adaptive
Wave Propogation Modelling."
 L. Zubair, "Studies
in Turbulence using Wavelet Transforms for Data
Compression and ScaleSeparation."
Hardware and Software Implementation of Wavelet Transforms
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