Introductions to Wavelets
 G. Kaiser, "A Friendly Guide to
Wavelets"
 C. S. Burrus and R. A. Gopinath,
"A Tutorial Overview of
Wavelets, Filter Banks and Interrelationships"
 R. A. DeVore and B. J. Lucier,
" Wavelets"
 T. Edwards,
"Discrete Wavelet Transforms: Theory and Application."
 E. Gootman and M. Wickerhauser,
"Elementary Wavelets."
 A. Graps, "An
Introduction To Wavelets."
 C. Heil and D. Walnut,
"Continuous and
Discrete Wavelet Transforms."
 B. Jawerth and W. Sweldens,
"An Overview
of Wavelet Based Multiresolution Analysis". An
abstract
is also available.
 J. Lewalle,
"Tutorial
on Wavelet Analysis of Experimental Data"
 P. Schröder and W. Sweldens,
"Building Your
Own Wavelets at Home." An
abstract
is also available.
 G. Strang,
"Wavelets."
 G. Strang
"Wavelets and dilation equations: a brief introduction."
 C. Torrence and G. P. Compo,
"A Practical Guide to
Wavelet Analysis, with Significance and Confidence Testing."
 B. Vidakovic,
"Wavelets for Kids," also
part 2.
 E. Tolkova,
"Orthogonal Wavelets Construction."
General Theory
 L. Andersson, N. Hall, B. Jawerth and G. Peters,
"Wavelets on
Closed Subsets of the Real Line"
 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."
 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.
 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.
 R. Coifman and M. V. Wickerhauser,
"EntropyBased Algorithms for Best Basis Selection"
 R. Coifman and M. Wickerhauser,
"Bestadapted Wave Packet Bases."
 R. Coifman(?),
"Numerical Harmonic Analysis."
 R. Coifman, Y. Meyer and M. Wickerhauser,
"Size
Properties of Wavelets Packets."
 R. Coifman and Y. Meyer,
"Orthonormal
Wave Packet Bases."
 R. Coifman and M. V. Wickerhauser,
"Wavelets and Adapted Waveform Analysis"
 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."
 G. Davis, S. Mallat and Z. Zhang,
"Adaptive
Nonlinear Approximations."
 G. Davis,
"Adaptive
Nonlinear Approximations."
 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.
 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."
 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."
 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."
 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."
 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."
 R. O. Wells Jr.,
"Recent Advances in Wavelet Technology"
 M. V. Wickerhauser(?),
"Entropy
of a Vector Relative to a Decomposition."
 M. V. Wickerhauser,
"Lectures on Wavelet Packet Algorithms"
 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."
 B.G. Sherlock and D.M. Monro,
"On the Space of
Orthonormal Wavelets."
Frame Decompositions
MBand Wavelets and Filter Banks
Wavelets and General Signal Processing
 M. Vetterli and J. Kovacevic,
"Wavelets and Subband
Coding", Prentice Hall, 1995.
 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"
 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"
 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"
 S. Cabrera, V. Krienovich and O. Sirisaengtaksin,
"Wavelets Compress Better
Than All Other Methods: A 1D Theorem."
 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"
 R. Coifman, Y. Meyer, S. Quake and M. Wickerhauser,
"Signal
Processing and Compression with Wave Packets."
 R. 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."
 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."
 G. Strang,
"Creating and comparing wavelets."
 A. R. Tate,
"Pattern
Recognition Analysis of in vivo Magnetic Resonance Spectra"
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."
 M. Louys, J.L. Starck, S. Mei, F. Bonnarel, and F. Murtagh,
"Astronomical Image Compression."
 M. Louys, J.L. Starck and F. Murtagh,
"Lossless Compression of Astronomical Images."
 F. Murtagh and J.L. Starck,
"Wavelets
and Multiscale Transforms in Massive Data Sets."
 F. Murtagh and J.L. Starck,
"Image
Processing through Multiscale Analysis and Measurement Noise Modeling."
 J.L. Starck and F. Murtagh,
"Multiscale
Entropy Filtering."
 J.L. Starck and F. Murtagh,
"Image
Filtering by Combining Multiple Vision Models".
 F. Murtagh,
"Wedding the Wavelet Transform and Multivariate Data Analysis."
 F. Murtagh and J.L. Starck,
"Pattern Clustering based on Noise Modeling in Wavelet Space."
 G. Zheng, J.L. Starck, J.G. Campbell and F. Murtagh,
"Multiscale Transforms for Filtering Financial Data Streams."
 M. Morehart, F. Murtagh and J.L. Starck,
"Multiresolution
Spatial Analysis."
 F. Murtagh, J.L. Starck and M.W. Berry,
"Overcoming
the Curse of Dimensionality in Clustering by means of the Wavelet Transform."
 R. A. Carmona, R. D. Frostig and W. L. Hwang,
"Wavelet Analysis for Brain Function Imaging."
 A. Chambolle, R. A. DeVore, N. Lee, and B. J. Lucier,
"Nonlinear
Wavelet Image Processing: Variational Problems, Compression, and Noise Removal
through Wavelet Shrinkage."
 H. Chao and P. Fisher,
"An Approach
of Fast Integer Reversible Wavelet Transforms for Image Compression."
 R. A. DeVore and B. J. Lucier,
" Fast Wavelet
Techniques for NearOptimal Image Processing"
 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. 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."
 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."
 Y. Wang,"
Image representations using multiscale differential operators."
 Y. Wang and S. L. Lee,"
Scalespace derived from Bsplines."
 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."
 D.M. Monro and B.G. Sherlock,
"SpaceFrequency
Balance in Biorthogonal Wavelets."
 Xuejun Li, "Low Bit Rate
Wavelet Image and Video Coding Algorithm and Software."
The FBI Wavelet Fingerprint Compression Standard
Wavelets and Speech Processing
Wavelets and Ordinary Differential Equations
Wavelets and Partial Differential Equations
 G. Kaiser, "
ComplexDistance Potential Theory and Hyperbolic 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".
 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."
 O. V. Vasilyev and S. Paolucci,
" A Dynamically Adaptive Multilevel Wavelet Collocation Method for Solving
Partial Differential Equations in a Finite Domain."
 O. V. Vasilyev and S. Paolucci,
" Thermoacoustic Wave Propagation Modeling Using a Dynamically Adaptive
Wavelet Collocation Method."
 O. V. Vasilyev and S. Paolucci,
" A Fast Adaptive Wavelet Collocation Algorithm for MultiDimensional PDEs."
 O. V. Vasilyev, S. Paolucci and M. Sen,
" A
Multilevel Wavelet Collocation Method for Solving Partial Differential
Equations in a Finite Domain."
 O. V. Vasilyev, Y. Y. Podladchikov and D. A. Yuen,
" Modeling of Compaction Driven Flow in PoroViscoelastic Medium Using
Adaptive Wavelet Collocation Method."
 O. V. Vasilyev, D. A. Yuen and S. Paolucci,
" The Solution of PDEs Using Wavelets."
 O. V. Vasilyev, D. A. Yuen and Y. Y. Podladchikov,
" Applicability of Wavelet Algorithm for Geophysical Viscoelastic Flow."
 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
 F. Abramovich, T. Sapatinas and B. W. Silverman,
" Wavelet
Thresholding via a Bayesian Approach."
 F. Abramovich, T. Sapatinas and B. W. Silverman,
" Stochastic Atomic
Decompositions in a Wavelet Dictionary. "
 F. Abramovich and B. W. Silverman,
"The VagueletteWavelet
Decomposition Approach to Statistical Inverse Problems."
 E. H. Adelson and E. P. Simoncelli,
"Noise Removal
via Bayesian Wavelet Coring."
 A. Antoniadis, G. Gregoire and G. P. Nason,
"Density and Hazard Rate Estimation for Right Censored Data using Wavelet
Methods."
 T. Bailey, T. Sapatinas, K. Powell and W. J. Krzanowski,
"Signal Detection
in Underwater Sounds using Wavelets."
 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."
 J. F. Burn, A. M. Wilson and G. P. Nason,
"Impact During Equine Locomotion: Techniques for Measurement and Analysis."
 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."
 R. Dahlhaus, M. H. Neumann and R. von Sachs,
"Nonlinear
Wavelet Estimation of TimeVarying Autoregressive Processes."
 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"
 D. Donoho, "Smooth
Wavelet Decompositions with Blocky Coefficient Kernels"
 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"
 D. Donoho and I. Johnstone,
"Adapting to Unknown
Smoothness by Wavelet Shrinkage"
 D. Donoho and I. Johnstone,
"Ideal Spatial
Adaptation via Wavelet Shrinkage"
 D. Donoho and I. Johnstone,
"Minimax Estimation
via Wavelet Shrinkage"
 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"
 D. Donoho, I. Johnstone, G. Kerkyacharian and D. Picard,
"Wavelet Shrinkage:
Asymptopia?"
 D. Donoho and I. Johnstone,
"Ideal Denoising in an
Orthonormal Basis Chosen From a Library of Bases."
 D. Donoho, S. Mallat and R. von Sachs,
"Estimating
Covariances of Locally Stationary Processes: Rates of Convergence of Best
Basis Methods."
 T. Downie and B.W. Silverman,
"The Discrete
Multiple Wavelet Transform and Thresholding Methods."
 H. Y. Gao,
"Choice of Thresholds for Wavelet Shrinkage Estimate of the Spectrum."
 P. Goel and B. Vidakovic,
"Wavelet
Transformations as Diversity Enhancers"
 P. Hall and G. P. Nason,
" On
Choosing a Noninteger Resolution Level when Using Wavelet Methods. "
 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."
 R. Morgan and G. P. Nason,
"
Wavelet Shrinkage of Itch Response Sata."
 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 and B. W. Silverman,
"Wavelets for Regression and other Statistical Problems."
 G. P. Nason, T. Sapatinas and A. Sawczenko,
"Statistical Modelling of Time Series using Nondecimated Wavelet
Representations."
 G. P. Nason,
"Wavelet Regression by CrossValidation"
 G. P. Nason,
"Functional Projection Pursuit."
 M. H. Neumann and R. von Sachs,
"Wavelet
Thresholding in Anisotropic Function Classes and Application to Adaptive
Estimation of Evolutionary Spectra."
 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."
 J. Raz, L. Dickerson and B. Turetsky,
"A Wavelet Packet Model
of Evoked Potentials."
 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."
 R. von Sachs, G. P. Nason and G. Kroisandt,
"Adaptive Estimation
of the Evolutionary Wavelet Spectrum. "
 R. von Sachs and K. Schneider ,
"Wavelet Smoothing of
Evolutionary Spectra by Nonlinear Thresholding. ".
 R. von Sachs and M. H. Neumann ,
"A Waveletbased
Test for Stationarity. "
 R. von Sachs and B. MacGibbon,
"Nonparametric Curve Estimation by Wavelet Thresholding with Locally
Stationary Errors."
 A. T. Walden, D. B. Percival and E. J. McCoy,
"Spectrum
Estimation by Wavelet Thresholding of Multitaper Estimators."
 Yazhen Wang,
"Jump and sharp cusp detection by wavelets."
 Yazhen Wang,
"Function
estimation via wavelet shrinkage for longmemory data."
 Yazhen Wang,
"Small ball problems via wavelets for Gaussian processes."
 Yazhen Wang,
"Fractal function estimation via wavelet shrinkage."
 Yazhen Wang,
"Minimax estimation via wavelets for indirect longmemory data."
 Yazhen Wang,
"Change curve estimation via wavelets" (with an application to image
processing);
Figure 4(a),
Figure 4(b).
 Yazhen Wang,
"Changepoint analysis via wavelets for indirect data."
 Yazhen Wang,
"Selfsimilarity index estimation via wavelets for locally selfsimilar
processes" (with Cavanaugh and Song);
Figure 1
, Figure 2
,
Figures 3 and 4.
 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
Projections for Radiosity."
 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 available. Technical Report No. 220, Computer Science 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 Tranparent Texture
Maps." With
figure 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
 J.C. van den Berg, ed.,
"Wavelets in Physics", Cambridge University Press, 1999 (a survey of many
applications).
 A. Gapps, "An
Introduction to Wavelets"
 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."
 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. Herrmann,
"A scaling
medium representation, a discussion on welllogs, fractals and waves."
Author's homepage
abstract 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."
 R. O. Wells, "Adaptive
Wave Propogation Modelling."
 L. Zubair,
"Studies in Turbulence using Wavelet Transforms for Data Compression and
ScaleSeparation."
 A. Fournier,
"An introduction to orthonormal wavelet analysis with shift invariance:
Application to observed atmosphericblocking spatial structure", to appear
in J. Atmos. Sci., 2000/12/1.
 A. Fournier,
"Atmospheric energetics in the wavelet domain I: Governing equations and
interpretation for idealized flows", submitted to J. Atmos. Sci., 2000
(revised).
 A. Fournier,
"Atmospheric energetics in the wavelet domain II: Timeaveraged observed
atmospheric blocking", submitted to J. Atmos. Sci., 1999.
 A. Fournier,
"Atmospheric energetics in the wavelet domain III: Instantaneous transfers
between block and local eddies", submitted to J. Atmos. Sci., 1999.
Hardware and Software Implementation of Wavelet Transforms
