| Description |
1 online resource (xv, 584 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Wavelet analysis and its applications ; 7 |
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Wavelet analysis and its applications ; v. 7.
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| Summary |
This volume explains how the recent advances in wavelet analysis provide new means for multiresolution analysis and describes its wide array of powerful tools. The book covers variations of the windowed Fourier transform, constructions of special waveforms suitable for specific tasks, the use of redundant representations in reconstruction and enhancement, applications of efficient numerical compression as a tool for fast numerical analysis, and approximation properties of various waveforms in different contexts. |
| Contents |
Variations of Windowed Fourier Transform and Applications: M. An, A. Brozdzik, I. Gertner, and R. Tolimieri, Weyl-Heisenberg Systems and the Finite Zak Transform. M.J. Bastiaans, Gabors Expansion and the Zak Transform for Continuous-Time and Discrete-Time Signals. W. Schempp, Non-Commutative Affine Geometry and Symbol Calculus: Fourier Transform Magnetic Resonance Imaging and Wavelets. M. Zibulski and Y.Y. Zeevi, The Generalized Gabor Scheme and Its Application In Signal and Image Representation. Construction for Special Waveforms for Specific Tasks: J.S. Byrnes, A Low Complexity Energy Spreading Transform Coder. A. Cohen and N. Dyn, Nonstationary Subdivision Schemes, Multiresolution Analysis, and Wavelet Packets. J. Prestin and K. Selig, Interpolatory and Orthonormal Trigonometric Waves. Redundant Waveform Representations for Signal Processing and Image Analysis: J.J. Benedetto, Noise Reduction in Termsof the Theory of Frames. F. Bergeaud and S. Mallat, Matching Pursuit of Images. Z. Cvetkovi(and M. Vetterli, Overcomplete Expansions and Robustness. Numerical Compression and Applications: A. Averbuch, G. Beylkin, R. Coifman, and M. Israeli, Multiscale Inversion of Elliptic Operators. A. Harten, Multiresolution Representation of Cell-Averaged Data: A Promotional Review. Analysis of Waveform Representations: C.K. Chui and C. Li, Characterizations of Smoothness viaFunctional Wavelet Transforms. M.A. Kon and L.A. Raphael, Characterizing Convergence Rates for Multiresolution. B. Rubin, On Calderon's Reproducing Formula. B. Rubin, Continuous Wavelet Transforms on a Sphere. V.A. Zheludev, Periodic Splines, Harmonic Analysis, and Wavelets. Filter Banks and Image Coding: A.J.E.M. Janssen, A Density Theorem for Time-Continuous Filter Banks. V.E. Katsnelson, Sampling and Interpolation for Functions with Multi-Band Spectrum: The Mean Periodic Continuation Method. R. Lenz and J. Svanberg, Group Theoretical Transforms, Statistical Properties of Image Spaces and Image Coding. Subject Index. |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Weyl-Heisenberg systems and the finite zak transform / M. An [and others] -- Gabor's expansion and the zak transform for continuous-time and discrete-time signals / Martin J. Bastiaans -- Non-commutative affine geometry and symbol calculus : fourier transform magnetic resonance imaging and wavelets / Walter Schempp -- The generalized Gabor scheme and its application in signal and image representation / Meir Zibulski and Yehoshua Y. Zeevi -- A low complexity energy spreading transform coder / J.S. Byrnes -- Nonstationary subdividion schemes, multiresolution analysis, and wavelet packets / Albert Cohen and Nira Dyn -- Interpolatory and orthonormal trigonometric wavelets / Jürgen Prestin and Kathi Selig -- Noise reduction in terms of the theory of frames / John J. Benedetto -- Matching pursuit of images / François Bergeaud and Stéphane Mallat -- Overcomplete expansions and robustness / Zoran Cvetkovi and Martin Vetterli -- Multiscale inversion of elliptic operators / Amir Averbuch [and others] -- Multiresolution representation of cell-averaged data : a promotional review / Ami Harten -- Characterization of smoothness via functional wavelet transforms / Charles K. Chui and Chun Li -- Characterizing convergence rates for multiresolution approximations / Mark A. Kon and Louise A. Raphael -- On Calderón's reproducing formula ; Continuous wavelet transforms on a sphere / Boris Rubin -- Periodic splines, harmonic analysis, and wavelets / Valery A. Zheludev -- A density theorem for time-continuous filter banks / A.J.E.M. Janssen -- Sampling and interpolation for functions with multi-band spectrum : the mean periodic continuation method / Victor E. Katsnelson -- Group theoretical transforms, statistical properties of image spaces and image coding / Reiner Lenz and Jonas Svanberg. |
| Note |
Print version record. |
| Subject |
Signal processing -- Mathematics.
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Image processing -- Mathematics.
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Wavelets (Mathematics)
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Traitement du signal -- Mathématiques.
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Traitement d'images -- Mathématiques.
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Ondelettes.
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COMPUTERS -- Information Theory.
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TECHNOLOGY & ENGINEERING -- Signals & Signal Processing.
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Image processing -- Mathematics
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Signal processing -- Mathematics
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Wavelets (Mathematics)
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Wavelets.
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Signaalverwerking.
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Beeldverwerking.
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| Added Author |
Zeevi, Y. Y.
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Coifman, Ronald R. (Ronald Raphaël)
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| Other Form: |
Print version: Signal and image representation in combined spaces. San Diego : Academic Press, ©1998 0127778306 9780127778303 (DLC) 97030324 (OCoLC)37451790 |
| ISBN |
9780127778303 |
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0127778306 |
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9780080541174 (electronic bk.) |
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0080541178 (electronic bk.) |
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1281047023 |
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9781281047021 |
| Standard No. |
AU@ 000051555082 |
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CHNEW 001005160 |
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DEBBG BV042307429 |
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DEBBG BV043044862 |
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DEBSZ 405294328 |
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DEBSZ 422176192 |
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DEBSZ 482350350 |
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NZ1 12432309 |
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NZ1 15190352 |
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UKMGB 017548898 |
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