Fundamental Papers in Wavelet Theory / Christopher Heil, David F. Walnut.

Format:

Book

Author/Creator:

Heil, Christopher, author.

Walnut, David F., author.

Contributor:

Daubechies, Ingrid.

Language:

English

Subjects (All):

Ondelettes.

Ondelettes--Histoire.

Wavelets (Mathematics).

Wavelets (Mathematics)--History.

Local Subjects:

Ondelettes.

Ondelettes--Histoire.

Wavelets (Mathematics).

Wavelets (Mathematics)--History.

Physical Description:

1 online resource (897 p.)

Edition:

Course Book

Place of Publication:

Princeton, NJ : Princeton University Press, [2009]

Language Note:

English

Summary:

This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.

Contents:

Frontmatter

Contents

Contributor Affiliations

Preface / Heil, Christopher / Walnut, David

Foreword / Daubechies, Ingrid

Introduction / Benedetto, John J.

Section I. Precursors in Signal Processing

Introduction / Kovačević, Jelena

The Laplacian Pyramid as a Compact Image Code / Burt, Peter J. / ADELSON, EDWARD H.

Digital Coding of Speech in Sub-bands / Crochiere, R. E. / Webber, S. A. / Flanagan, J . L.

Application of quadrature mirror filters to split-band voice coding schemes / Esteban, D. / Galand, C.

Procedure for designing exact reconstruction filter banks for tree-structured subband coders / Smith, M.J.T. / Barnwell, T. P.

Filters for distortion-free two-band multirate filter banks / Mintzer, Fred

Filter banks allowing perfect reconstruction / VETIERLI, Martin

Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property / Vaidyanathan, P

SECTION II. Precursors in Physics: Affine Coherent States

Introduction / Antoine, Jean-Pierre

Continuous representation theory using the affine group

Decomposition of Hardy functions into square integrable wavelets of constant shape / Grossmann, A. / Morlet, J.

Transforms associated to square integrable group representations I General results / Grossmann, A. / Morlet, J. / Paul, T.

Section III. Precursors in Mathematics: Early Wavelet Bases

Introduction / Feichtinger, Hans G.

On the Theory of Orthogonal Function Systems / Haar, Alfred / Zimmermann, Georg

A set of continuous orthogonal functions / Franklin, Philip

A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces / Strömberg, Jan-Olov

Uncertainty Principle, Hilbert Bases and Algebras of Operators / Meyer, Yves

Wavelets and Hilbert Bases / Lemarié, P. G. / Meyer, Y.

A block spin construction of Ondelettes. Part i: Lemarié Functions / Battle, Guy

SECTION IV. Precursors and Development in Mathematics: Atom and Frame Decompositions

Introduction / Meyer, Yves

A Class of Nonharmonic Fourier Series

Extensions of Hardy Spaces and Their Use in Analysis / Coifman, Ronald R. / Weiss, Guido

Painless Nonorthogonal Expansions / Daubechies, Ingrid / Grossmann, A. / Meyer, Y.

Decomposition of Besov Spaces / Frazier, Michael / Werth, Björn Ja

Banach Spaces Related to Integrable Group Representations and Their Atomic Decompositions, I / Feichtinger, Hans G. / Gröchenig, K. H.

The Wavelet Transform, Time-Frequency Localization And Signal Analysis / Daubechies, Ingrid

Section V. Multiresolution Analysis

Introduction / Weiss, Guido

A Theory for Multiresolution Signal Decomposition: The Wavelet Representation / Mallat, Stephane G.

Wavelets with Compact Support / Meyer, Yves

Approximations and Wavelet Orthonormal Bases of L<Sup>2</Sup>(R) / Mallat, Stephane G.

Wavelets, Multiresolution Analysis, and Quadrature Mirror F / Cohen, A. / Ryan, Robert D.

Tight frames of compactly supported affine wavelets / Lawton, Wayne M.

Orthonormal Bases of Compactly Supported Wavelets / Daubechles, Ingrid

SECTION VI. Multidimensional Wavelets

Wavelets, Spline Functions, and Multiresolution Analysis / Meyer, Yves / Horváth, John

Multiscale Analyses and Wavelet Bases / Gröchenig, Karlheinz / Ryan, Robert D.

Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn / Kovácević, Jelena / Vetterli, Martin

Multiresolution analysis, Haar bases and self-similar tilings of Rn / Gröchenig, K. / Madych, W. R.

SECTION VII. Selected Applications

Introduction / Wickerhauser, Mladen Victor

Fast wavelet transforms and numerical algorithms / Beylkin, G. / Coifman, R. / Rokhlin, V.

Compression of wavelet decompositions / DeVore, Ronald A. / Jawerth, Björn / Popov, Vasil

Adapting to unknown smoothness by wavelet shrinkage / Donoho, David L. / Johnstone, Iain M.

Hölder Exponents at Given Points and Wavelet Coefficients / Jaffard, Stéphane / Ryan, Robert D.

Embedded image coding using zerotrees of wavelet coefficients / Shapiro, Jerome M.

Notes:

Description based upon print version of record.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

1-282-50560-2

9786612505607

1-4008-2726-4

OCLC:

705526717