Fundamental Papers in Wavelet Theory / / Christopher Heil, David F. Walnut.
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,...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2009] ©2006 |
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Heil, Christopher, author. aut http://id.loc.gov/vocabulary/relators/aut Fundamental Papers in Wavelet Theory / Christopher Heil, David F. Walnut. Course Book Princeton, NJ : Princeton University Press, [2009] ©2006 1 online resource (912 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Contributor Affiliations -- Preface -- Foreword -- Introduction -- Section I. Precursors in Signal Processing -- Introduction -- The Laplacian Pyramid as a Compact Image Code -- Digital Coding of Speech in Sub-bands -- Application of quadrature mirror filters to split-band voice coding schemes -- Procedure for designing exact reconstruction filter banks for tree-structured subband coders -- Filters for distortion-free two-band multirate filter banks -- Filter banks allowing perfect reconstruction -- Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property -- SECTION II. Precursors in Physics: Affine Coherent States -- Introduction -- Continuous representation theory using the affine group -- Decomposition of Hardy functions into square integrable wavelets of constant shape -- Transforms associated to square integrable group representations I General results -- Section III. Precursors in Mathematics: Early Wavelet Bases -- Introduction -- On the Theory of Orthogonal Function Systems -- A set of continuous orthogonal functions -- A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces -- Uncertainty Principle, Hilbert Bases and Algebras of Operators -- Wavelets and Hilbert Bases -- A block spin construction of Ondelettes. Part i: Lemarié Functions -- SECTION IV. Precursors and Development in Mathematics: Atom and Frame Decompositions -- Introduction -- A Class of Nonharmonic Fourier Series -- Extensions of Hardy Spaces and Their Use in Analysis -- Painless Nonorthogonal Expansions -- Decomposition of Besov Spaces -- Banach Spaces Related to Integrable Group Representations and Their Atomic Decompositions, I -- The Wavelet Transform, Time-Frequency Localization And Signal Analysis -- Section V. Multiresolution Analysis -- Introduction -- A Theory for Multiresolution Signal Decomposition: The Wavelet Representation -- Wavelets with Compact Support -- Approximations and Wavelet Orthonormal Bases of L<Sup>2</Sup>(R) -- Wavelets, Multiresolution Analysis, and Quadrature Mirror F -- Tight frames of compactly supported affine wavelets -- Orthonormal Bases of Compactly Supported Wavelets -- SECTION VI. Multidimensional Wavelets -- Introduction -- Wavelets, Spline Functions, and Multiresolution Analysis -- Multiscale Analyses and Wavelet Bases -- Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn -- Multiresolution analysis, Haar bases and self-similar tilings of Rn -- SECTION VII. Selected Applications -- Introduction -- Fast wavelet transforms and numerical algorithms -- Compression of wavelet decompositions -- Adapting to unknown smoothness by wavelet shrinkage -- Hölder Exponents at Given Points and Wavelet Coefficients -- Embedded image coding using zerotrees of wavelet coefficients restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Mathematics Essays. Ondelettes Histoire. Ondelettes. Wavelets (Mathematics) History. Wavelets (Mathematics). MATHEMATICS / Essays. bisacsh ADELSON, EDWARD H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Antoine, Jean-Pierre, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Barnwell, T. P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Battle, Guy, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Benedetto, John J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Beylkin, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Burt, Peter J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cohen, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Coifman, R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Coifman, Ronald R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Crochiere, R. E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Daubechies, Ingrid, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Daubechies, Ingrid. Daubechles, Ingrid, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb DeVore, Ronald A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Donoho, David L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Esteban, D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Feichtinger, Hans G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Flanagan, J . L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Franklin, Philip, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Frazier, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Galand, C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Grossmann, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gröchenig, K. H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gröchenig, K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gröchenig, Karlheinz, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Haar, Alfred, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Heil, Christopher, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Horváth, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jaffard, Stéphane, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jawerth, Björn, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Johnstone, Iain M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kovačević, Jelena, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kovácević, Jelena, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lawton, Wayne M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lemarié, P. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Madych, W. R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mallat, Stephane G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Meyer, Y., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Meyer, Yves, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mintzer, Fred, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Morlet, J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Paul, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Popov, Vasil, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rokhlin, V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ryan, Robert D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shapiro, Jerome M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Smith, M.J.T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Strömberg, Jan-Olov, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb VETIERLI, Martin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vaidyanathan, P, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vetterli, Martin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Walnut, David F., author. aut http://id.loc.gov/vocabulary/relators/aut Walnut, David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Webber, S. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Weiss, Guido, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Werth, Björn Ja, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wickerhauser, Mladen Victor, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zimmermann, Georg, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691127057 https://doi.org/10.1515/9781400827268 https://www.degruyter.com/isbn/9781400827268 Cover https://www.degruyter.com/cover/covers/9781400827268.jpg |
language |
English |
format |
eBook |
author |
Heil, Christopher, Heil, Christopher, Walnut, David F., |
spellingShingle |
Heil, Christopher, Heil, Christopher, Walnut, David F., Fundamental Papers in Wavelet Theory / Frontmatter -- Contents -- Contributor Affiliations -- Preface -- Foreword -- Introduction -- Section I. Precursors in Signal Processing -- The Laplacian Pyramid as a Compact Image Code -- Digital Coding of Speech in Sub-bands -- Application of quadrature mirror filters to split-band voice coding schemes -- Procedure for designing exact reconstruction filter banks for tree-structured subband coders -- Filters for distortion-free two-band multirate filter banks -- Filter banks allowing perfect reconstruction -- Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property -- SECTION II. Precursors in Physics: Affine Coherent States -- Continuous representation theory using the affine group -- Decomposition of Hardy functions into square integrable wavelets of constant shape -- Transforms associated to square integrable group representations I General results -- Section III. Precursors in Mathematics: Early Wavelet Bases -- On the Theory of Orthogonal Function Systems -- A set of continuous orthogonal functions -- A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces -- Uncertainty Principle, Hilbert Bases and Algebras of Operators -- Wavelets and Hilbert Bases -- A block spin construction of Ondelettes. Part i: Lemarié Functions -- SECTION IV. Precursors and Development in Mathematics: Atom and Frame Decompositions -- A Class of Nonharmonic Fourier Series -- Extensions of Hardy Spaces and Their Use in Analysis -- Painless Nonorthogonal Expansions -- Decomposition of Besov Spaces -- Banach Spaces Related to Integrable Group Representations and Their Atomic Decompositions, I -- The Wavelet Transform, Time-Frequency Localization And Signal Analysis -- Section V. Multiresolution Analysis -- A Theory for Multiresolution Signal Decomposition: The Wavelet Representation -- Wavelets with Compact Support -- Approximations and Wavelet Orthonormal Bases of L<Sup>2</Sup>(R) -- Wavelets, Multiresolution Analysis, and Quadrature Mirror F -- Tight frames of compactly supported affine wavelets -- Orthonormal Bases of Compactly Supported Wavelets -- SECTION VI. Multidimensional Wavelets -- Wavelets, Spline Functions, and Multiresolution Analysis -- Multiscale Analyses and Wavelet Bases -- Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn -- Multiresolution analysis, Haar bases and self-similar tilings of Rn -- SECTION VII. Selected Applications -- Fast wavelet transforms and numerical algorithms -- Compression of wavelet decompositions -- Adapting to unknown smoothness by wavelet shrinkage -- Hölder Exponents at Given Points and Wavelet Coefficients -- Embedded image coding using zerotrees of wavelet coefficients |
author_facet |
Heil, Christopher, Heil, Christopher, Walnut, David F., ADELSON, EDWARD H., ADELSON, EDWARD H., Antoine, Jean-Pierre, Antoine, Jean-Pierre, Barnwell, T. P., Barnwell, T. P., Battle, Guy, Battle, Guy, Benedetto, John J., Benedetto, John J., Beylkin, G., Beylkin, G., Burt, Peter J., Burt, Peter J., Cohen, A., Cohen, A., Coifman, R., Coifman, R., Coifman, Ronald R., Coifman, Ronald R., Crochiere, R. E., Crochiere, R. E., Daubechies, Ingrid, Daubechies, Ingrid, Daubechies, Ingrid. Daubechles, Ingrid, Daubechles, Ingrid, DeVore, Ronald A., DeVore, Ronald A., Donoho, David L., Donoho, David L., Esteban, D., Esteban, D., Feichtinger, Hans G., Feichtinger, Hans G., Flanagan, J . L., Flanagan, J . L., Franklin, Philip, Franklin, Philip, Frazier, Michael, Frazier, Michael, Galand, C., Galand, C., Grossmann, A., Grossmann, A., Gröchenig, K. H., Gröchenig, K. H., Gröchenig, K., Gröchenig, K., Gröchenig, Karlheinz, Gröchenig, Karlheinz, Haar, Alfred, Haar, Alfred, Heil, Christopher, Heil, Christopher, Horváth, John, Horváth, John, Jaffard, Stéphane, Jaffard, Stéphane, Jawerth, Björn, Jawerth, Björn, Johnstone, Iain M., Johnstone, Iain M., Kovačević, Jelena, Kovačević, Jelena, Kovácević, Jelena, Kovácević, Jelena, Lawton, Wayne M., Lawton, Wayne M., Lemarié, P. G., Lemarié, P. G., Madych, W. R., Madych, W. R., Mallat, Stephane G., Mallat, Stephane G., Meyer, Y., Meyer, Y., Meyer, Yves, Meyer, Yves, Mintzer, Fred, Mintzer, Fred, Morlet, J., Morlet, J., Paul, T., Paul, T., Popov, Vasil, Popov, Vasil, Rokhlin, V., Rokhlin, V., Ryan, Robert D., Ryan, Robert D., Shapiro, Jerome M., Shapiro, Jerome M., Smith, M.J.T., Smith, M.J.T., Strömberg, Jan-Olov, Strömberg, Jan-Olov, VETIERLI, Martin, VETIERLI, Martin, Vaidyanathan, P, Vaidyanathan, P, Vetterli, Martin, Vetterli, Martin, Walnut, David F., Walnut, David F., Walnut, David, Walnut, David, Webber, S. A., Webber, S. A., Weiss, Guido, Weiss, Guido, Werth, Björn Ja, Werth, Björn Ja, Wickerhauser, Mladen Victor, Wickerhauser, Mladen Victor, Zimmermann, Georg, Zimmermann, Georg, |
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ADELSON, EDWARD H., ADELSON, EDWARD H., Antoine, Jean-Pierre, Antoine, Jean-Pierre, Barnwell, T. P., Barnwell, T. P., Battle, Guy, Battle, Guy, Benedetto, John J., Benedetto, John J., Beylkin, G., Beylkin, G., Burt, Peter J., Burt, Peter J., Cohen, A., Cohen, A., Coifman, R., Coifman, R., Coifman, Ronald R., Coifman, Ronald R., Crochiere, R. E., Crochiere, R. E., Daubechies, Ingrid, Daubechies, Ingrid, Daubechies, Ingrid. Daubechles, Ingrid, Daubechles, Ingrid, DeVore, Ronald A., DeVore, Ronald A., Donoho, David L., Donoho, David L., Esteban, D., Esteban, D., Feichtinger, Hans G., Feichtinger, Hans G., Flanagan, J . L., Flanagan, J . L., Franklin, Philip, Franklin, Philip, Frazier, Michael, Frazier, Michael, Galand, C., Galand, C., Grossmann, A., Grossmann, A., Gröchenig, K. H., Gröchenig, K. H., Gröchenig, K., Gröchenig, K., Gröchenig, Karlheinz, Gröchenig, Karlheinz, Haar, Alfred, Haar, Alfred, Heil, Christopher, Heil, Christopher, Horváth, John, Horváth, John, Jaffard, Stéphane, Jaffard, Stéphane, Jawerth, Björn, Jawerth, Björn, Johnstone, Iain M., Johnstone, Iain M., Kovačević, Jelena, Kovačević, Jelena, Kovácević, Jelena, Kovácević, Jelena, Lawton, Wayne M., Lawton, Wayne M., Lemarié, P. G., Lemarié, P. G., Madych, W. R., Madych, W. R., Mallat, Stephane G., Mallat, Stephane G., Meyer, Y., Meyer, Y., Meyer, Yves, Meyer, Yves, Mintzer, Fred, Mintzer, Fred, Morlet, J., Morlet, J., Paul, T., Paul, T., Popov, Vasil, Popov, Vasil, Rokhlin, V., Rokhlin, V., Ryan, Robert D., Ryan, Robert D., Shapiro, Jerome M., Shapiro, Jerome M., Smith, M.J.T., Smith, M.J.T., Strömberg, Jan-Olov, Strömberg, Jan-Olov, VETIERLI, Martin, VETIERLI, Martin, Vaidyanathan, P, Vaidyanathan, P, Vetterli, Martin, Vetterli, Martin, Walnut, David F., Walnut, David F., Walnut, David, Walnut, David, Webber, S. A., Webber, S. A., Weiss, Guido, Weiss, Guido, Werth, Björn Ja, Werth, Björn Ja, Wickerhauser, Mladen Victor, Wickerhauser, Mladen Victor, Zimmermann, Georg, Zimmermann, Georg, |
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author_sort |
Heil, Christopher, |
title |
Fundamental Papers in Wavelet Theory / |
title_full |
Fundamental Papers in Wavelet Theory / Christopher Heil, David F. Walnut. |
title_fullStr |
Fundamental Papers in Wavelet Theory / Christopher Heil, David F. Walnut. |
title_full_unstemmed |
Fundamental Papers in Wavelet Theory / Christopher Heil, David F. Walnut. |
title_auth |
Fundamental Papers in Wavelet Theory / |
title_alt |
Frontmatter -- Contents -- Contributor Affiliations -- Preface -- Foreword -- Introduction -- Section I. Precursors in Signal Processing -- The Laplacian Pyramid as a Compact Image Code -- Digital Coding of Speech in Sub-bands -- Application of quadrature mirror filters to split-band voice coding schemes -- Procedure for designing exact reconstruction filter banks for tree-structured subband coders -- Filters for distortion-free two-band multirate filter banks -- Filter banks allowing perfect reconstruction -- Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property -- SECTION II. Precursors in Physics: Affine Coherent States -- Continuous representation theory using the affine group -- Decomposition of Hardy functions into square integrable wavelets of constant shape -- Transforms associated to square integrable group representations I General results -- Section III. Precursors in Mathematics: Early Wavelet Bases -- On the Theory of Orthogonal Function Systems -- A set of continuous orthogonal functions -- A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces -- Uncertainty Principle, Hilbert Bases and Algebras of Operators -- Wavelets and Hilbert Bases -- A block spin construction of Ondelettes. Part i: Lemarié Functions -- SECTION IV. Precursors and Development in Mathematics: Atom and Frame Decompositions -- A Class of Nonharmonic Fourier Series -- Extensions of Hardy Spaces and Their Use in Analysis -- Painless Nonorthogonal Expansions -- Decomposition of Besov Spaces -- Banach Spaces Related to Integrable Group Representations and Their Atomic Decompositions, I -- The Wavelet Transform, Time-Frequency Localization And Signal Analysis -- Section V. Multiresolution Analysis -- A Theory for Multiresolution Signal Decomposition: The Wavelet Representation -- Wavelets with Compact Support -- Approximations and Wavelet Orthonormal Bases of L<Sup>2</Sup>(R) -- Wavelets, Multiresolution Analysis, and Quadrature Mirror F -- Tight frames of compactly supported affine wavelets -- Orthonormal Bases of Compactly Supported Wavelets -- SECTION VI. Multidimensional Wavelets -- Wavelets, Spline Functions, and Multiresolution Analysis -- Multiscale Analyses and Wavelet Bases -- Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn -- Multiresolution analysis, Haar bases and self-similar tilings of Rn -- SECTION VII. Selected Applications -- Fast wavelet transforms and numerical algorithms -- Compression of wavelet decompositions -- Adapting to unknown smoothness by wavelet shrinkage -- Hölder Exponents at Given Points and Wavelet Coefficients -- Embedded image coding using zerotrees of wavelet coefficients |
title_new |
Fundamental Papers in Wavelet Theory / |
title_sort |
fundamental papers in wavelet theory / |
publisher |
Princeton University Press, |
publishDate |
2009 |
physical |
1 online resource (912 p.) Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Contributor Affiliations -- Preface -- Foreword -- Introduction -- Section I. Precursors in Signal Processing -- The Laplacian Pyramid as a Compact Image Code -- Digital Coding of Speech in Sub-bands -- Application of quadrature mirror filters to split-band voice coding schemes -- Procedure for designing exact reconstruction filter banks for tree-structured subband coders -- Filters for distortion-free two-band multirate filter banks -- Filter banks allowing perfect reconstruction -- Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property -- SECTION II. Precursors in Physics: Affine Coherent States -- Continuous representation theory using the affine group -- Decomposition of Hardy functions into square integrable wavelets of constant shape -- Transforms associated to square integrable group representations I General results -- Section III. Precursors in Mathematics: Early Wavelet Bases -- On the Theory of Orthogonal Function Systems -- A set of continuous orthogonal functions -- A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces -- Uncertainty Principle, Hilbert Bases and Algebras of Operators -- Wavelets and Hilbert Bases -- A block spin construction of Ondelettes. Part i: Lemarié Functions -- SECTION IV. Precursors and Development in Mathematics: Atom and Frame Decompositions -- A Class of Nonharmonic Fourier Series -- Extensions of Hardy Spaces and Their Use in Analysis -- Painless Nonorthogonal Expansions -- Decomposition of Besov Spaces -- Banach Spaces Related to Integrable Group Representations and Their Atomic Decompositions, I -- The Wavelet Transform, Time-Frequency Localization And Signal Analysis -- Section V. Multiresolution Analysis -- A Theory for Multiresolution Signal Decomposition: The Wavelet Representation -- Wavelets with Compact Support -- Approximations and Wavelet Orthonormal Bases of L<Sup>2</Sup>(R) -- Wavelets, Multiresolution Analysis, and Quadrature Mirror F -- Tight frames of compactly supported affine wavelets -- Orthonormal Bases of Compactly Supported Wavelets -- SECTION VI. Multidimensional Wavelets -- Wavelets, Spline Functions, and Multiresolution Analysis -- Multiscale Analyses and Wavelet Bases -- Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn -- Multiresolution analysis, Haar bases and self-similar tilings of Rn -- SECTION VII. Selected Applications -- Fast wavelet transforms and numerical algorithms -- Compression of wavelet decompositions -- Adapting to unknown smoothness by wavelet shrinkage -- Hölder Exponents at Given Points and Wavelet Coefficients -- Embedded image coding using zerotrees of wavelet coefficients |
isbn |
9781400827268 9783110442502 9780691127057 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA403 |
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QA 3403.3 |
genre_facet |
Essays. Histoire. |
url |
https://doi.org/10.1515/9781400827268 https://www.degruyter.com/isbn/9781400827268 https://www.degruyter.com/cover/covers/9781400827268.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.2433 |
dewey-sort |
3515.2433 |
dewey-raw |
515.2433 |
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515.2433 |
doi_str_mv |
10.1515/9781400827268 |
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Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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Fundamental Papers in Wavelet Theory / |
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Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>12246nam a22014535i 4500</leader><controlfield tag="001">9781400827268</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20210830012106.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">210830t20092006nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400827268</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400827268</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)446410</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979725975</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA403.3</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT039000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515.2433</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Heil, Christopher, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fundamental Papers in Wavelet Theory /</subfield><subfield code="c">Christopher Heil, David F. Walnut.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Course Book</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2009]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (912 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Contributor Affiliations -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Foreword -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Section I. Precursors in Signal Processing -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">The Laplacian Pyramid as a Compact Image Code -- </subfield><subfield code="t">Digital Coding of Speech in Sub-bands -- </subfield><subfield code="t">Application of quadrature mirror filters to split-band voice coding schemes -- </subfield><subfield code="t">Procedure for designing exact reconstruction filter banks for tree-structured subband coders -- </subfield><subfield code="t">Filters for distortion-free two-band multirate filter banks -- </subfield><subfield code="t">Filter banks allowing perfect reconstruction -- </subfield><subfield code="t">Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property -- </subfield><subfield code="t">SECTION II. Precursors in Physics: Affine Coherent States -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Continuous representation theory using the affine group -- </subfield><subfield code="t">Decomposition of Hardy functions into square integrable wavelets of constant shape -- </subfield><subfield code="t">Transforms associated to square integrable group representations I General results -- </subfield><subfield code="t">Section III. Precursors in Mathematics: Early Wavelet Bases -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">On the Theory of Orthogonal Function Systems -- </subfield><subfield code="t">A set of continuous orthogonal functions -- </subfield><subfield code="t">A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces -- </subfield><subfield code="t">Uncertainty Principle, Hilbert Bases and Algebras of Operators -- </subfield><subfield code="t">Wavelets and Hilbert Bases -- </subfield><subfield code="t">A block spin construction of Ondelettes. Part i: Lemarié Functions -- </subfield><subfield code="t">SECTION IV. Precursors and Development in Mathematics: Atom and Frame Decompositions -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">A Class of Nonharmonic Fourier Series -- </subfield><subfield code="t">Extensions of Hardy Spaces and Their Use in Analysis -- </subfield><subfield code="t">Painless Nonorthogonal Expansions -- </subfield><subfield code="t">Decomposition of Besov Spaces -- </subfield><subfield code="t">Banach Spaces Related to Integrable Group Representations and Their Atomic Decompositions, I -- </subfield><subfield code="t">The Wavelet Transform, Time-Frequency Localization And Signal Analysis -- </subfield><subfield code="t">Section V. Multiresolution Analysis -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">A Theory for Multiresolution Signal Decomposition: The Wavelet Representation -- </subfield><subfield code="t">Wavelets with Compact Support -- </subfield><subfield code="t">Approximations and Wavelet Orthonormal Bases of L<Sup>2</Sup>(R) -- </subfield><subfield code="t">Wavelets, Multiresolution Analysis, and Quadrature Mirror F -- </subfield><subfield code="t">Tight frames of compactly supported affine wavelets -- </subfield><subfield code="t">Orthonormal Bases of Compactly Supported Wavelets -- </subfield><subfield code="t">SECTION VI. Multidimensional Wavelets -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Wavelets, Spline Functions, and Multiresolution Analysis -- </subfield><subfield code="t">Multiscale Analyses and Wavelet Bases -- </subfield><subfield code="t">Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn -- </subfield><subfield code="t">Multiresolution analysis, Haar bases and self-similar tilings of Rn -- </subfield><subfield code="t">SECTION VII. Selected Applications -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Fast wavelet transforms and numerical algorithms -- </subfield><subfield code="t">Compression of wavelet decompositions -- </subfield><subfield code="t">Adapting to unknown smoothness by wavelet shrinkage -- </subfield><subfield code="t">Hölder Exponents at Given Points and Wavelet Coefficients -- </subfield><subfield code="t">Embedded image coding using zerotrees of wavelet coefficients</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="v">Essays.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Ondelettes</subfield><subfield code="v">Histoire.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Ondelettes</subfield><subfield code="x">Histoire.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Ondelettes.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Wavelets (Mathematics)</subfield><subfield code="x">History.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Wavelets (Mathematics).</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Essays.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">ADELSON, EDWARD H., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Antoine, Jean-Pierre, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Barnwell, T. 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