Wavelet Shopping
Welcome to Wavelet Resources page: your site
for one-stop 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.
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 madani@ieee.org
and it will be added as soon as possible.
Introductions 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.
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, "Non-smooth
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
Littlewood-Paley-Stein Wavelet." A Mathematica notebook converted to Postscript.
- J. Cohen, "Battle-Lemarie
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, "Entropy-Based
Algorithms for Best Basis Selection"
- R. Coifman and M. Wickerhauser, "Best-adapted 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
Time-Frequency 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
Time-Frequency 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, "W-Matrices,
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 Time-Frequency Dictionaries."
- E. J. McCoy, D. B. Percival and A. T. Walden, "On the Phase of
Least-Asymmetric 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 Custom-Design 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 Discrete-Time Signals."
- C. Taswell, "Near-Best
Basis Selection Algorithms with Non-Additive Information Cost Functions."
- K. Urban, "On
Divergence-Free 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."
Frame Decompositions
M-Band 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"
- 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 near-field structure of coaxial jets"
- C. S. Burrus and R. A. Gopinath, "Wavelet-Based
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 1-D 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, "Multi-Ridge
Detection and Time-Frequency 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
two-dimensional 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, "Wavelet-Based Signal
Approximation with Genetic Algorithms."
- J. Lewalle, K. Read and M. T. Schobeiri, "Effect of
unsteady wake-passing 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"
- G. Uytterhoeven, "Design
and Implementation of Compression Algorithms using Multiwavelets."
Wavelets and Image Processing
- E. Adelson and E. Simoncelli, "Subband
Image Coding with Three-tap Pyramids."
- E. H. Adelson, W. T. Freeman, D. J. Heeger and E. P. Simoncelli, "Shiftable Multi-Scale
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 Wavelet-Based 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 Multi-Echelles 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."
- 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 Near-Optimal 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 Multi-Channel Wavelet Frames.".
- W. T. Freeman and E. P. Simoncelli, "The Steerable Pyramid: A
Flexible Architecture for Multi-Scale 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 DCT-based 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 Tree-structured
Signal Expansions for Compression Using Time-Varying 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 2-D 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 Space-Frequency Quantization."
- M. T. Orchard, K. Ramchandran and Z. Xiong, "Space-frequency Quantization
for Wavelet Image Coding."
- H. Pan, "Uniform
Full-Information 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,"
Scale-space derived from B-splines."
- G. Weiss, "Time-Frequency
and Time-Scaling Methods in Signal and Image Processing"
- M. Wickerhauser, "Picture
Compression by Best-Basis Subband Coding."
- M. V. Wickerhauser, "High-Resolution
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 Space-Time 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 Two-Dimensional Navier-Stokes Equations."
- P. Charton and V. Perrier, "A
Pseudo-Wavelet Scheme for the Two-Dimensional Navier-Stokes Equations."
- S. Dahlke and A. Kunoth, "Biorthogonal
Wavelets and Multigrid."
- S. Dahlke and I. Weinreich, "Wavelet-Galerkin
Methods: An Adapted Biorthogonal Wavelet Basis."
- S. Dahlke and I. Weinreich, "Wavelet
Bases Adapted to Pseudo-Differential Operators."
- W. Dahmen and A. Kunoth, "Multilevel
Preconditioning."
- W. Dahmen, A. Kunoth and K. Urban "A Wavelet-Galerkin
Method for the Stokes-Equations," 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 CG-Method for
Wavelet-Galerkin 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, "Wavelet-Galerkin
Discretization of Hyperbolic Equations."
- J. Lewalle, "Wavelet
Transforms of some Equations of Fluid Mechanics"
- J. Lewalle, "Energy
Dissipation in the Wavelet-Transformed Navier-Stokes 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 Wavelet-Galerkin 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 V-Cycle 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
Wavelet-Galerkin Algorithm for the Driven-Cavity-Stokes-Problem 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 Multi-Dimensional PDEs." with figures.
- 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 Poro-Viscoelastic Medium Using Adaptive Wavelet Collocation
Method." with figures.
- O. V. Vasilyev, D. A. Yuen and S. Paolucci, " The
Solution of PDEs Using Wavelets." with figures.
- O. V. Vasilyev, D. A. Yuen and Y. Y. Podladchikov, "
Applicability of Wavelet Algorithm for Geophysical Viscoelastic Flow." with figures.
- 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
Matrices-Vecteur 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
Spline-Based Wavelet Differentiation Matrix."
- L. Jameson, "On the
Differention Matrix for Daubechies-Based Wavelets on an Interval."
- L. Jameson, "On the
Daubechies-Based 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 Time-Frequency 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 Vaguelette-Wavelet
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
Non-linear 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
Object-Oriented 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, "Translation-Invariant
De-Noising."
- R. Dahlhaus, M. H. Neumann and R. von Sachs, "Non-linear Wavelet
Estimation of Time--Varying Autoregressive Processes."
- A. Davis, A. Marshak and W. Wiscombe, "Wavelet-Based
Multifractal Analysis of Non-Stationary 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 Wavelet-Vaguelette Decomposition"
- D. Donoho, "Smooth
Wavelet Decompositions with Blocky Coefficient Kernels"
- D. Donoho, "De-noising
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 Non-integer 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 Non-decimated Wavelet Representations."
- G. P. Nason, "Wavelet
Regression by Cross-Validation"
- 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 , "Smoothing of Evolutionary
Spectra by Non-linear Thresholding. " Also available are the figures.
- R. von Sachs and M. H. Neumann , "A Wavelet-based Test for
Stationarity. "
- R. von Sachs and B. MacGibbon, "Non-parametric 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."
- 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, "Wavelet-Packet-Based
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
5-6, figures
7-10, and figures
11-13. 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 Complex-Valued
Gabor Wavelets."
- M. H. Gross and L. Lippert, "Ray-tracing
of Multiresolution B-Spline 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 Quasi-Static 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 Lower-Atmospheric Long Nonlinear Wave Dynamics, Governed by the
Benjamin-Davis-Ono-Burgers Equation."
- F. Herrmann, "A scaling medium
representation, a discussion on well-logs, 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
Galerkin-wavelet 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 Scale-Separation."
Hardware and Software Implementation of Wavelet Transforms
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