Wavelets and Multiscale Analysis

Theory and Applications

Editors:

ISBN: 978-0-8176-8094-7 (Print) 978-0-8176-8095-4 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv

  2. No Access

    Book Chapter

    Pages 1-14

    An Introduction to Wavelets and Multiscale Analysis: Theory and Applications

  3. The Mathematical Theory of Wavelets

    1. Front Matter

      Pages 15-15

    2. No Access

      Book Chapter

      Pages 17-56

      The Construction of Wavelet Sets

    3. No Access

      Book Chapter

      Pages 57-64

      The Measure of the Closure of a Wavelet Set May Be > 2π

    4. No Access

      Book Chapter

      Pages 65-82

      Quincunx Wavelets on \({\mathbb{T}}^{2}\)

    5. No Access

      Book Chapter

      Pages 83-108

      Crystallographic Haar-Type Composite Dilation Wavelets

    6. No Access

      Book Chapter

      Pages 109-130

      From Full Rank Subdivision Schemes to Multichannel Wavelets: A Constructive Approach

    7. No Access

      Book Chapter

      Pages 131-150

      Unitary Systems and Bessel Generator Multipliers

    8. No Access

      Book Chapter

      Pages 151-157

      The Zak Transform(s)

  4. The Geometry of Large Data Sets

    1. Front Matter

      Pages 159-160

    2. No Access

      Book Chapter

      Pages 161-197

      Harmonic Analysis of Digital Data Bases

    3. No Access

      Book Chapter

      Pages 199-225

      Some Recent Advances in Multiscale Geometric Analysis of Point Clouds

    4. No Access

      Book Chapter

      Pages 227-256

      Signal Ensemble Classification Using Low-Dimensional Embeddings and Earth Mover’s Distance

  5. Applications of Wavelets

    1. Front Matter

      Pages 257-257

    2. No Access

      Book Chapter

      Pages 259-277

      Wavelets on Manifolds and Statistical Applications to Cosmology

    3. No Access

      Book Chapter

      Pages 279-298

      Wavelets, a Numerical Tool for Atmospheric Data Analysis

    4. No Access

      Book Chapter

      Pages 299-331

      Denoising Speech Signals for Digital Hearing Aids: A Wavelet Based Approach

  6. Back Matter

    Pages 333-335