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  • 1
    Online-Ressource
    Online-Ressource
    Beyond wavelets (2003)
    San Diego, Calif : Academic Press
    Details
    UID:
    b3kat_BV036962219
    Umfang: 1 Online-Ressource (xiv, 305 p.) , ill , 25 cm
    Ausgabe: 1st ed
    Ausgabe: Online_Ausgabe Amsterdam Elsevier Science & Technology 2007 Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    Ausgabe: Electronic reproduction; Mode of access: World Wide Web
    ISBN: 0127432736 , 9780127432731
    Serie: Studies in computational mathematics 10
    Anmerkung: "Beyond Wavelets" presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis. Wavelets, introduced 20 years ago by Morlet and Grossmann and developed very rapidly during the 1980's and 1990's, has created a common link between computational mathematics and other disciplines of science and engineering. Classical wavelets have provided effective and efficient mathematical tools for time-frequency analysis which enhances and replaces the Fourier approach. However, with the current advances in science and technology, there is an immediate need to extend wavelet mathematical tools as well. "Beyond Wavelets" presents a list of ideas and mathematical foundations for such extensions, including: continuous and digital ridgelets, brushlets, steerable wavelet packets, contourlets, eno-wavelets, spline-wavelet frames, and quasi-affine wavelets. Wavelet subband algorithms are extended to pyramidal directional and nonuniform filter banks. In addition, this volume includes a method for tomographic reconstruction using a mechanical image model and a statistical study for independent adaptive signal representation. Investigators already familiar with wavelet methods from areas such as engineering, statistics, and mathematics will benefit by owning this volume. *Curvelets, Contourlets, Ridgelets, *Digital Implementation of Ridgelet Packets *Steerable Wavelet Packets *Essentially Non-Oscillatory Wavelets *Medical Imaging *Non-Uniform Filter Banks *Spline-wavelet frames and *Vanishing Moment Recovery Functions , Includes bibliographical references and index
    Weitere Ausg.: Reproduktion von Beyond wavelets 2003
    Sprache: Englisch
    Schlagwort(e): Wavelet ; Electronic books ; Electronic books
    URL: Volltext
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext
    URL: lizenzpflichtig
    URL: Inhaltstext
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Online Zugang
    Stabi Berlin
    HWR Berlin
    UB Potsdam
    EUV Frankfurt
    TH Brandenburg
    HTW Berlin
    TH Wildau
    BTU Cottbus
    BHT
  • 2
    Online-Ressource
    Online-Ressource
    Beyond wavelets / (2003)
    San Diego, Calif. :Academic Press,
    Details
    UID:
    almahu_9947367266502882
    Umfang: 1 online resource (321 p.)
    Ausgabe: 1st ed.
    ISBN: 1-281-18669-4 , 9786611186692 , 0-08-052780-9 , 1-4356-3199-4
    Serie: Studies in computational mathematics ; 10
    Inhalt: ""Beyond Wavelets"" presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis. Wavelets, introduced 20 years ago byMorlet and Grossmann and developed very rapidly during the 1980's and 1990's, has created a common link between computational mathematics and other disciplines of science and engineering.Classical wavelets have provided effective and efficient mathematical tools for time-frequency analysis which enhances and replaces the Fourier approach.However, with the current advances in science and techn
    Anmerkung: Description based upon print version of record. , Cover; Preface; Contents; Chapter 1. Digital Ridgelet Transform based on True Ridge Functions; 1.1 Introduction; 1.2 Digital Ridgelets; 1.3 Relation to Fast Slant Stack; 1.4 Structural Analogies; 1.5 Example: HalfDome; 1.6 Sparsity of the Frame Kernel; 1.7 Comparisons; 1.8 Discussion; References; Chapter 2. Digital Implementation of Ridgelet Packets; 2.1 Introduction; 2.2 Fourier Preliminaries; 2.3 Radon Preliminaries; 2.4 The Ridgelet Construction, and its Properties; 2.5 Ridgelet Packet Construction; 2.6 Implementation on Digital Data; 2.7 Adaptation; 2.8 Discussion; References , Chapter 3. Brushlets: Steerable Wavelet Packets3.1 Introduction; 3.2 Biorthogonal windowed Fourier bases; 3.3 Choice of the bell function; 3.4 Biorthogonal brushlet bases; 3.5 Conclusion; References; Chapter 4. Contourlets; 4.1 Introduction and Motivation; 4.2 Representing 2-D Piecewise Smooth Functions; 4.3 Pyramidal Directional Filter Bank; 4.4 Multiresolution Analysis; 4.5 Numerical Experiments; 4.6 Conclusion; References; Chapter 5. ENO-wavelet Transforms and Some Applications; 5.1 Introduction; 5.2 The ENO-Wavelet Algorithm; 5.3 Theory: Error Bound and Stability; 5.4 Application , ReferencesChapter 6. A Mechanical Image Model for Bayesian Tomographic Reconstruction; 6.1 Introduction and Background; 6.2 Materials and Methods; 6.3 Results and Discussion; References; Chapter 7. Recent Development of Spline Wavelet Frames with Compact Support; 7.1 Introduction; 7.2 Characterization of Wavelet Spline Frames; 7.3 Wavelet Frames of Splines with Multiple Knots; 7.4 The Common Link: Approximate Duals; 7.5 Tight Spline Frames with Non-uniform Knots; References; Chapter 8. Afiine, Quasi-Affine and Co-Affine Wavelets; 8.1 Introduction , 8.2 Frames and the three systems X(Ψ), X*(Ψ), and X(Ψ)References; Chapter 9. Sparsity vs. Statistical Independence in Adaptive Signal Representations: A Case Study of the Spike Process; 9.1 Introduction; 9.2 Notation and Terminology; 9.3 Sparsity vs. Statistical Independence; 9.4 Two-Dimensional Counterexample; 9.5 The Spike Process; 9.6 Proofs of Propositions and Theorems; 9.7 Discussion; 9.8 Appendices; References; Chapter 10. Nonuniform Filter Banks: New Results and Open Problems; 10.1 Introduction; 10.2 Background: Equivalent Uniform FBs; PR Equations , 10.3 Problem Statement, and Unconstrained FBs10.4 Tree Structures; 10.5 Delay-chains; 10.6 The Class of Rational FBs; 10.7 Conditions Based on Reductions to Tree Structures; 10.8 Summary and Comparison of Necessary Conditions; 10.9 Concluding Remarks; 10.10 Appendices; References; Index , English
    Weitere Ausg.: ISBN 0-12-743273-6
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Online-Ressource
    HU Berlin
    FU Berlin
    Charité
  • 3
    Buch
    Buch
    Beyond wavelets (2003)
    Amsterdam [u.a.] : Acad. Press
    Details
    UID:
    b3kat_BV019662521
    Umfang: XIV, 305 S. , Ill., graph. Darst.
    Ausgabe: 1. ed.
    ISBN: 0127432736
    Serie: Studies in computational mathematics 10
    Sprache: Englisch
    Schlagwort(e): Wavelet
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Buch
    TU Berlin get availability status
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