Back Matter Source: SIAM Review, Vol. 39, No. 2 (Jun., 1997), pp. 375-382 Published by: Society for Industrial and Applied Mathematics Stable URL: http://www.jstor.org/stable/2133141 . Accessed: 17/06/2014 04:40 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. . Society for Industrial and Applied Mathematics is collaborating with JSTOR to digitize, preserve and extend access to SIAM Review. http://www.jstor.org This content downloaded from 185.44.78.129 on Tue, 17 Jun 2014 04:40:11 AM All use subject to JSTOR Terms and Conditions
Transcript
Back MatterSource: SIAM Review, Vol. 39, No. 2 (Jun., 1997), pp. 375-382Published by: Society for Industrial and Applied MathematicsStable URL: http://www.jstor.org/stable/2133141 .
Accessed: 17/06/2014 04:40
Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at .http://www.jstor.org/page/info/about/policies/terms.jsp
.JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range ofcontent in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new formsof scholarship. For more information about JSTOR, please contact [email protected].
.
Society for Industrial and Applied Mathematics is collaborating with JSTOR to digitize, preserve and extendaccess to SIAM Review.
http://www.jstor.org
This content downloaded from 185.44.78.129 on Tue, 17 Jun 2014 04:40:11 AMAll use subject to JSTOR Terms and Conditions
SIAM Monographs on Mathematical Modeling and Computation
Wavelets: A Mathematical Tool for Signal alys Charles K. Chui AI /avelets continue to be powerful math- V ematical tools that can be used to solve
problems for which the Fourier (spectral) method Audience does not perform well or cannot handle. This book Written for an interdisciplinary audience of engi- is for engineers, applied mathematicians, and other
abou usig waelet to neers, apptlied mathematicians, and other scientists scientists who want to learn about using waveletsto with little or no knowledge of wavelets, readers analyze, process, and synthesize images and sig- ., , , with an undergraduate backgroundiln applied math- nals. Applications are described in detail and there ematics or engineering will benefit from and appre- are step-by-step instructions about how to con- ciate this book. Nontechnical people, such as finan- struct and apply wavelets. The only matnemati- cial analysts, artists, and medical professionals, cally rigorous monograph written by a mathemati- who have begun to benefit from the various appli- cian specifically for nonspecialists, it describes the cations of wavelets may also find this book of basic concepts of these mathematical techniques, interest. outlines the procedures for using them, compares the performance of various approaches, and pro- About the Author vides information for problem solving, putting the Charles K. Chui is a Distinguished Professor at reader at the forefront of current research. Texas A&M University and is the author of several
New methods and important topics described in books published by SIAM, Academic Press, and the book include the following: Springer-Verlag. * Multidimensional and multifrequency wavelet
transforms (including wavelet packets). This ap- Contents proach gives the user more flexibility in apply- Foreword; Preface; Software; Notation; Chapter 1: What are ing wavelets to study multidimensional data sets. wavelets? Waveform modeling and segmentation; Time-fre- Spline wavelets with uniform or arbitrary knots quency analysis; Fast algorithms andfilter banks; Chapter 2:
Time-Frequency Localization. Analog filters; RMS band- on a bounded interval (with methods to construct widths; The short-time Fouriertransform; The integral wave- these wavelets, their duals, as well as all decom- let transform; Modeling the cochlea; Chapter 3: position and reconstruction matrices). This tool Multiresolution Analysis.Signal spaces withfinite RMS band- allows analysis and synthesis of discrete data on width; Two simple mathematical representations;
Multiresolution analysis; Cardinal splines; Chapter 4: Or- uniform or nonuniform sample sites without any thonormalWavelets.Orthogonalwaveletspaces; Waveletsof boundary effect. Haar, Shannon, and Meyer; Spline wavelets ofBattle-Lemari6
* Wavelets as a mathematical tool for waveform and Stromberg; The Daubechies wavelets; Chapter 5: matching, signal segmentation, and time-fre- Biorthogonal Wavelets. The needfor duals; Compactly sup-
quency localization as well as effective imple- ported spline wavelets; The duality principle; Totalpositivity and optimality of time-frequency windows; Chapter 6: Algo-
mentation and fast computation. rithms. Signal representations; Orthogonal decompositions * Procedures to construct all the well-known wave- and reconstructions; Graphical display of signal representa-
lets and to find their corresponding filter tions; Multidimensional wavelet transforms; The need for boundary wavelets; Spline functions on a bounded interval; sequences. Boundary spline wavelets with arbitrary knots; Chapter 7:
* Detailed comparisons of the most popular wave- Applications. Detection of singularities and feature extrac- lets and tables of values for evaluating their tion; Data compression; Numerical solutions of integral filtering performance. equations; Summary and Notes; References; Subject Index.
1997 * xviii + 210 pages * Softcover * ISBN 0-89871-384-6 List Price $36.50 * SIAM Member Price $29.20 * Order Code MM01
To Order Use your credit card (AMEX, MC, and VISA): Call toll free Shipping and Handling: USA: Add $2.75 for first book and $.50 in USA: 800-447-SIAM * Outside USA call: 215-382-9800 for each additional book. Canada: Add $4.50 for first book and Fax: 215-386-7999 * [email protected] $1.50 for each additional book. Outside USA/Canada: Add $4.50 Or send check or money order to: SIAM, Dept. BJ1997, per book. All overseas delivery is by ai-mail. P.O. Box 7260, Philadelphia, PA 19101-7260
SL iTML, Society for Industrial and Applied Mathematics h tp: w w w siam .org
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Contains research articles on the development and analysis of numerical methods SIAM Journal on including their convergence, stability, and error analysis as well as related results Numerical in functional analysis and approximation theory. Computational experiments and Analysis new types of numerical applications are also included. Thomas Manteuffel, Editor- in-Chief. Published bimonthly. Subscription: domestic $336.00, overseas $393.00.
Contains research and expository articles on the theory and practice of optimization, SIAM Journal on and papers that link optimization theory with computational practice and applications. Optimization Among the areas addressed are linear and quadratic programming, large scale optimization including the solution of large nonlinear systems of equations, stochastic optimization, combinatorial optimization, mixed integer programming, nonsmooth optimization, convex analysis, numerical optimization including optimization algorithms for use on parallel architectures, and applications in engineering, management, and the sciences. Michael L. Overton, Editor-in-Chief Published quarterly. Subscription: domestic $274.00, overseas $312.00.
Contains research articles on numerical methods and techniques for scientific compu- SIAM Journal on tation. Papers address computational isses relevant to the solution of scientific or Scientific engineering problems, and generally include computational results demonstrating Computing the effectiveness of the proposed techniques. James M. Hyman, Editor-in-Chief Published bimonthly. Subscription: domestic $354.00, overseas $418.00.
Contains articles that are written for a wide scientific audience and that are SIAMReview potentially of interest to the entire SIAM membership. Articles include expository or survey papers focusing on important advances in applied or computational mathematics, or papers outlining the mathematical and computational challenges in scientific or engineering applications. Other features include essays, book reviews, case studies from industry, classroom notes, and problems and solutions. Richard F. Sincovec, Editor-in-Chief: Published quarterly. Subscription: domestic $180.00, overseas $212.00.
A translation of the Russian journal Teoriya Veroyatnostei i ee Primeneniya, which Theory of contains papers on the theory and application of probability, statistics, and stochas- Probability and Its tic processes. Edited by Natascha A. Brunswick and Will Klump. Published Applications quarterly. Subscription: domestic $420.00, overseas $472.00.
Continued from back cover
354 Elliptic Marching Methods for Domain Decomposition (Patrick J. Roache), Diego A. Murio
355 Special Functions: An Introduction to the Classical Functions of Mathematical Physics (Nico M. Temme), Frank W. J. Olver
356 Stable Non-Gaussian Random Processes (Gennady Samorodnitsky and Murad S. Taqqu), Magda Peligrad
358 Nonlinear Waves in Elastic Media (A. Kulikovskii and E. Sveshmikova), Michael Renardy
358 Numerical Methods for Differential Equations: A Computational Approach (John R. Dormand), Lawrence F. Shampine
360 Integral Equations: Theory and Numerical Treatment (Wolfgang Hackbusch), Ian H. Sloan
360 Handbook on Splines for the User (Eugene V. Shikin and Alexander 1. Plis), Helmut Spath
362 Time Dependent Problems and Difference Methods (Bertil Gustafsson, Heinz-Otto Kreiss, and Joseph Oliger), Endre Suli
366 Applied Continuum Mechanics (T. J. Chung), Peter Wolfe 367 Conservative Finite-Difference Methods on General Grids
(Mikhail Shashkov), Zhimin Zhang
369 Selected Collections
373 Later Editions
375 Chronicle
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