Signal and image representation in combined spaces [electronic resource]

• 其他作者：
  • Zeevi, Y. Y.
  • Coifman, Ronald R. (Ronald Raphael)
  • ScienceDirect (Online service)
• 其他題名：
  • Wavelet analysis and its applications
• 出版： San Diego : Academic Press
• 叢書名： Wavelet analysis and its applications7
• 主題： Signal processing--Mathematics , Image processing--Mathematics , Wavelets (Mathematics) , Wavelets , Signaalverwerking. , Beeldverwerking. , Electronic books.
• ISBN： 9780127778303 (paper) 、 0127778306 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Includes bibliographical references and index. 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. S Weyl-Heisenberg systems and the finite zak transform / M. An ... [et al.] -- 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 / Jurgen Prestin and Kathi Selig -- Noise reduction in terms of the theory of frames / John J. Benedetto -- Matching pursuit of images / Francois Bergeaud and Stephane Mallat -- Overcomplete expansions and robustness / Zoran Cvetkovic and Martin Vetterli -- Multiscale inversion of elliptic operators / Amir Averbuch ... [et al.] -- 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 Calderon'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.
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• 摘要註: 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.
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