Book 1998

Wavelet Analysis

The Scalable Structure of Information

Authors:

ISBN: 978-1-4612-6830-7 (Print) 978-1-4612-0593-7 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xvi

  2. The Scalable Structure of Information

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-11

      The New Mathematical Engineering

    3. No Access

      Chapter

      Pages 12-29

      Good Approximations

    4. No Access

      Chapter

      Pages 30-36

      Wavelets: A Positional Notation for Functions

  3. Wavelet Theory

    1. Front Matter

      Pages 37-37

    2. No Access

      Chapter

      Pages 39-85

      Algebra and Geometry of Wavelet Matrices

    3. No Access

      Chapter

      Pages 86-139

      One-Dimensional Wavelet Systems

    4. No Access

      Chapter

      Pages 140-164

      Examples of One-Dimensional Wavelet Systems

    5. No Access

      Chapter

      Pages 165-187

      Higher-Dimensional Wavelet Systems

  4. Wavelet Approximation and Algorithms

    1. Front Matter

      Pages 189-189

    2. No Access

      Chapter

      Pages 191-201

      The Mallat Algorithm

    3. No Access

      Chapter

      Pages 202-235

      Wavelet Approximation

    4. No Access

      Chapter

      Pages 236-265

      Wavelet Calculus and Connection Coefficients

    5. No Access

      Chapter

      Pages 266-279

      Multiscale Representation of Geometry

    6. No Access

      Chapter

      Pages 280-340

      Wavelet—Galerkin Solutions of Partial Differential Equations

  5. Wavelet Applications

    1. Front Matter

      Pages 341-341

    2. No Access

      Chapter

      Pages 343-365

      Wavelet Data Compression

    3. No Access

      Chapter

      Pages 366-396

      Modulation and Channel Coding

  6. Back Matter

    Pages 397-435