Ten Lectures on Wavelets
Seiten
1992
Society for Industrial & Applied Mathematics,U.S. (Verlag)
9780898712742 (ISBN)
Society for Industrial & Applied Mathematics,U.S. (Verlag)
9780898712742 (ISBN)
Contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.
Winner of the 1994 Leroy P. Steele Prize for excellence in expository writing.
Ingrid Daubechies received the 2000 National Academy of Sciences (NAS) Award in Mathematics, which is given every four years for excellence in published mathematical research. Daubechies was chosen “for fundamental discoveries on wavelets and wavelet expansions and for her role in making wavelet methods a pracical basic tool of applied mathematics”.
Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details.
This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.
The opening chapter provides an overview of the main problems presented in the book. Following chapters discuss the theoretical and practical aspects of wavelet theory, including wavelet transforms, orthonormal bases of wavelets, and characterization of functional spaces by means of wavelets. The last chapter presents several topics under active research, as multidimensional wavelets, wavelet packet bases, and a construction of wavelets tailored to decompose functions defined in a finite interval. Because of their interdisciplinary origins, wavelets appeal to scientists and engineers of many different backgrounds.
Special Features:
Only comprehensive book in English on this subject.
Ideal for mapping out a graduate course or a seminar on the subject.
Includes an extensive bibliography.
Winner of the 1994 Leroy P. Steele Prize for excellence in expository writing.
Ingrid Daubechies received the 2000 National Academy of Sciences (NAS) Award in Mathematics, which is given every four years for excellence in published mathematical research. Daubechies was chosen “for fundamental discoveries on wavelets and wavelet expansions and for her role in making wavelet methods a pracical basic tool of applied mathematics”.
Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details.
This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.
The opening chapter provides an overview of the main problems presented in the book. Following chapters discuss the theoretical and practical aspects of wavelet theory, including wavelet transforms, orthonormal bases of wavelets, and characterization of functional spaces by means of wavelets. The last chapter presents several topics under active research, as multidimensional wavelets, wavelet packet bases, and a construction of wavelets tailored to decompose functions defined in a finite interval. Because of their interdisciplinary origins, wavelets appeal to scientists and engineers of many different backgrounds.
Special Features:
Only comprehensive book in English on this subject.
Ideal for mapping out a graduate course or a seminar on the subject.
Includes an extensive bibliography.
Introduction
Preliminaries and Notation
The What, Why, and How of Wavelets
The Continuous Wavelet Transform
Discrete Wavelet Transforms: Frames
Time-Frequency Density and Orthonormal Bases
Orthonormal Bases of Wavelets and Multiresolutional Analysis
Orthonormal Bases of Compactly Supported Wavelets
More About the Regularity of Compactly Supported Wavelets
Symmetry for Compactly Supported Wavelet Bases
Characterization of Functional Spaces by Means of Wavelets
Generalizations and Tricks for Orthonormal Wavelet Bases
References
Indexes.
| Erscheint lt. Verlag | 30.6.1992 |
|---|---|
| Reihe/Serie | CBMS-NSF Regional Conference Series in Applied Mathematics |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 172 x 251 mm |
| Gewicht | 632 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| ISBN-13 | 9780898712742 / 9780898712742 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
für Ingenieure und Naturwissenschaftler
Buch | Softcover (2024)
Springer Vieweg (Verlag)
CHF 48,95
Buch | Softcover (2025)
Springer Vieweg (Verlag)
CHF 62,95
Buch | Softcover (2025)
Springer Fachmedien Wiesbaden (Verlag)
CHF 69,95
