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Wavelets : a tutorial in theory and applications.

Wavelets: A Tutorial in Theory and Applications is the second volume in the new series WAVELET ANALYSIS AND ITS APPLICATIONS. As a companion to the first volume in this series, this volume covers several of the most important areas in wavelets, ranging from the development of the basic theory such a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Chui, Charles K.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston : Academic Press, Inc, 1992.
Colección:Wavelet analysis and its applications.
Temas:
Acceso en línea:Texto completo

MARC

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520 |a Wavelets: A Tutorial in Theory and Applications is the second volume in the new series WAVELET ANALYSIS AND ITS APPLICATIONS. As a companion to the first volume in this series, this volume covers several of the most important areas in wavelets, ranging from the development of the basic theory such as construction and analysis of wavelet bases to an introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding. A fairly extensive bibliography is also included in this volume. Key Features * Covers several of the most important areas in wavelets, ranging from the development of the basic theory, such as: * Construction and analysis of wavelet bases, and * Introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding * Extensive bibliography is also included in this volume * Companion to the first volume in this series, An Introduction to Wavelets, and can be used as supplementary instructional material for a two-semester course on wavelet analysis. 
505 8 |a 3. Haar wavelet matrices4. The algebraic and geometric structure of wavelet matrix spaces; 5. Wavelet matrix series; References; Chapter 3. Wavelets and Generalized Functions; 1. Introduction; 2. Background on wavelets and distributions; 3. Expansion of distributions in wavelets; 4. An application to sampling theorems; 5. Wavelets of distributions; References; Part II: Semi-orthogonal and Nonorthogonal Wavelets; Chapter 4. Cardinal Spline Interpolation and the Block Spin Construction of Wavelets; 1. Introduction; 2. Construction of the mother wavelet; 3. The Lemari�e case 
505 8 |a 4. Lemari�e pre-ondelettes in position space5. Cardinal spline interpolation; 6. The dual basis; 7. The polynomial relation; References; Chapter 5. Polynomial Splines and Wavelets-A Signal Processing Perspective; 1. Introduction; 2. Polynomial splines; 3. Polynomial spline wavelets; 4. Signal and image processing applications; 5. Conclusion; References; Chapter 6. Biorthogonal Wavelets; 1. Introduction; 2. Dual filters and dual wavelets; 3. Biorthogonal wavelet bases and stable subband coding schemes; 4. Biorthogonal wavelets and splines; Appendix: Proof of some lemmas; References 
505 8 |a Chapter 7. Nonorthogonal Multiresolution Analysis Using Wavelets1. Introduction; 2. Limitations of orthogonal multiresolution analysis; 3. Nonorthogonal multiresolution analysis; 4. Examples of nonorthogonal multiresolution analyses; Appendix A. (Proof of Proposition 9); Appendix B. (Proof of Proposition 10); Appendix C. (Proof of Theorem 13); Appendix D. (Proof of Proposition 15); References; Part III: Wavelet-like Local Bases; Chapter 8. Wavelets and Other Bases for Fast Numerical Linear Algebra; 1. Introduction; 2. Function representations in mathematical physics 
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650 0 |a Wavelets (Mathematics) 
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700 1 |a Chui, Charles K. 
776 0 8 |i Print version:  |t Wavelets.  |d Boston : Academic Press, Inc, 1992  |z 9780121745905 
830 0 |a Wavelet analysis and its applications. 
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