04291nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001800153072001700171072002300188082001700211245013200228264004200360300004400402336002600446337002600472338003600498347002400534490004400558505090800602520177101510650001703281650002303298650002203321650002503343650002903368650001703397650002203414650004103436650003203477650005903509700003003568700002903598710003403627773002003661776003603681830004403717856004803761978-0-8176-8095-4DE-He21320180115171443.0cr nn 008mamaa110228s2011 xxu| s |||| 0|eng d a97808176809547 a10.1007/978-0-8176-8095-42doi 4aQA403.5-404.5 7aPBKF2bicssc 7aMAT0340002bisacsh04a515.243322310aWavelets and Multiscale Analysish[electronic resource] :bTheory and Applications /cedited by Jonathan Cohen, Ahmed I. Zayed. 1aBoston :bBirkhäuser Boston,c2011. aXIV, 338 p. 87 illus.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aApplied and Numerical Harmonic Analysis0 aPreface -- Contributors -- 1 An Introduction to Wavelets and Multi-scale Analysis: Theory and Applications -- 2 The Construction of Wavelet Sets -- 3 The Measure of the Closure of a Wavelet Set May Be >2pi -- Quincunx Wavelets on T^2 -- Crystallographic Haar-type Composite Dilation Wavelets -- 6 From Full Rank Subdivision Schemes to Multichannel Wavelets: A Constructive Approach -- 7 Unitary Systems and Bessel Generator Multipliers -- 8 The Zak Transform(s) -- 9 Harmonic Analysis of Digital Databases -- 10 Some Recent Advances in Multiscale Geometric Analysis of Point Clouds -- 11 Signal Ensemble Classification Using Low-Dimensional Embeddings and Earth Mover's Distance -- 12 Wavelets on Manifolds and Statistical Applications to Cosmology -- 13 Wavelets, a Numerical Tool for Atmospheric Data Analysis -- 14 Denoising Speech Signals for Digital Hearing Aids: A Wavelet Based Approach -- Index. aSince its emergence as an important research area in the early 1980s, the topic of wavelets has undergone tremendous development on both theoretical and applied fronts. Myriad research and survey papers and monographs have been published on the subject, documenting different areas of applications such as sound and image processing, denoising, data compression, tomography, and medical imaging. The study of wavelets remains a very active field of research, and many of its central techniques and ideas have evolved into new and promising research areas. This volume, a collection of invited contributions developed from talks at an international conference on wavelets, features expository and research articles covering current and emerging areas in the theory and applications of wavelets. The book is divided into three parts: Part I is devoted to the mathematical theory of wavelets and features several papers on wavelet sets and the construction of wavelet bases in different settings. Part II looks at the use of multiscale harmonic analysis for understanding the geometry of large data sets and extracting information from them. Part III focuses on applications of wavelet theory to the study of several real-world problems. Specific topics covered include: wavelets on locally compact groups and Riemannian manifolds; crystallographic composite dilation wavelets, quincunx and vector-valued wavelets; multiscale analysis of large data sets; geometric wavelets; wavelets applications in cosmology, atmospheric data analysis and denoising speech signals. Wavelets and Multiscale Analysis: Theory and Applications is an excellent reference for graduate students, researchers, and practitioners in theoretical and applied mathematics, or in engineering. 0aMathematics. 0aHarmonic analysis. 0aFourier analysis. 0aApplied mathematics. 0aEngineering mathematics.14aMathematics.24aFourier Analysis.24aSignal, Image and Speech Processing.24aAbstract Harmonic Analysis.24aAppl.Mathematics/Computational Methods of Engineering.1 aCohen, Jonathan.eeditor.1 aZayed, Ahmed I.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817680947 0aApplied and Numerical Harmonic Analysis40uhttp://dx.doi.org/10.1007/978-0-8176-8095-4