Wavelets and Multiscale Analysis: Theory and applications

Preface.- Contributors.- 1 An Introduction to Wavelets and Multi-scale Analysis: Theory and Applications.- Part I The Mathematical Theory of Wavelets.- 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).- Part II The Geometry of Large Data Sets.- 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.- Part III Applications of Wavelets.- 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.