Signal and image representation in combined spaces / edited by Yehoshua Zeevi, Ronald Coifman.

Format:

Book

Contributor:

Zeevi, Y. Y.

Coifman, Ronald R. (Ronald Raphaël)

Series:

Wavelet analysis and its applications ; v. 7.

Wavelet analysis and its applications ; 7

Language:

English

Subjects (All):

Signal processing--Mathematics.

Signal processing.

Image processing--Mathematics.

Image processing.

Wavelets (Mathematics).

Physical Description:

1 online resource (603 p.)

Place of Publication:

San Diego : Academic Press, c1998.

Language Note:

English

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:

Cover; Contents; Preface; Contributors; Part I: Variations of the Windowed Fourier Transform and Its Applications; Chapter 1. Weyl-Heisenberg Systems and the Finite Zak Transform; Chapter 2. Gabor's Expansion and the Zak Transform for Continuous-Time and Discrete-Time Signals; Chapter 3. Non-Commutative Affine Geometry and Symbol Calculus: Fourier Transform Magnetic Resonance Imaging and Wavelets; Chapter 4. The Generalized Gabor Scheme and Its Application in Signal and Image Representation; Part II: Construction of Special Waveforms for Specific Tasks

Chapter 5. A Low Complexity Energy Spreading Transform CoderChapter 6. Nonstationary Subdivision Schemes, Multiresolution Analysis, and Wavelet Packets; Chapter 7. Interpolatory and Orthonormal Trigonometric Wavelets; Part III: Redundant Waveform Representations for Signal Processing and Image Analysis; Chapter 8. Noise Reduction in Terms of the Theory of Frames; Chapter 9. Matching Pursuit of Images; Chapter 10. Overcomplete Expansions and Robustness; Part IV: Numerical Compression and Applications; Chapter 11. Multiscale Inversion of Elliptic Operators

Chapter 12. Multiresolution Representation of Cell-Averaged Data: A Promotional ReviewPart V: Analysis of Waveform Representations; Chapter 13. Characterization of Smoothness via Functional Wavelet Transforms; Chapter 14. Characterizing Convergence Rates for Multiresolution Approximations; Chapter 15. On Calderón's Reproducing Formula; Chapter 16. Continuous Wavelet Transforms on a Sphere; Chapter 17. Periodic Splines, Harmonic Analysis, and Wavelets; Part VI: Filter Banks and Image Coding; Chapter 18. A Density Theorem for Time-Continuous Filter Banks

Chapter 19. Sampling and Interpolation for Functions with Multi-Band Spectrum: The Mean Periodic Continuation MethodChapter 20. Group Theoretical Transforms, Statistical Properties of Image Spaces and Image Coding; Subject Index; Wavelet Analysis and Its Applications

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-04702-3

9786611047023

0-08-054117-8

OCLC:

476104548