Ten lectures on wavelets: Contains lectures delivered at the CBMS conference organized in June 1990 by the Mathematics Dept. at the University of Lowell, Mass
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1. Verfasser: Daubechies, Ingrid (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1992
Schriftenreihe:CBMS-NSF regional conference series in applied mathematics 61
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Beschreibung:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references (s. 341-351) and indexes
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
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
Beschreibung:1 Online-Ressource (xix, 357 Seiten)
ISBN:0898712742
9780898712742
DOI:10.1137/1.9781611970104

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