Wavelet Analysis The Scalable Structure of Information

Wavelet Analysis The Scalable Structure of Information / by Howard L. Resnikoff, Raymond O.Jr. Wells.

The authors have been beguiled and entranced by mathematics all of their lives, and both believe it is the highest expression of pure thought and an essential component-one might say the quintessence-of nature. How else can one ex­ plain the remarkable effectiveness of mathematics in describing and...

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Bibliographic Details
Main Authors: Resnikoff, Howard L. (Author), Wells, Raymond O.Jr (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1998.
Edition:1st ed. 1998.
Series:Springer eBook Collection.
Subjects:
Applied mathematics.
Engineering mathematics.
Signal processing.
Image processing.
Speech processing systems.
Fourier analysis.
Numerical analysis.
Information theory.
Artificial intelligence.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I. The Scalable Structure of Information
  • 1 The New Mathematical Engineering
  • 2 Good Approximations
  • 3 Wavelets: A Positional Notation for Functions
  • II Wavelet Theory
  • 4 Algebra and Geometry of Wavelet Matrices
  • 5 One-Dimensional Wavelet Systems
  • 6 Examples of One-Dimensional Wavelet Systems
  • 7 Higher-Dimensional Wavelet Systems
  • III Wavelet Approximation and Algorithms
  • 8 The Mallat Algorithm
  • 9 Wavelet Approximation
  • 10 Wavelet Calculus and Connection Coefficients
  • 11 Multiscale Representation of Geometry
  • 12 Wavelet-Galerkin Solutions of Partial Differential Equations
  • IV Wavelet Applications
  • 14 Modulation and Channel Coding
  • References.

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