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Wavelet Analysis

The Scalable Structure of Information

  • Howard L. Resnikoff
  • Raymond O. WellsJr.

Table of contents

  1. Front Matter
    Pages i-xvi
  2. The Scalable Structure of Information

    1. Front Matter
      Pages 1-1
    2. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 3-11
    3. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 12-29
    4. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 30-36
  3. Wavelet Theory

    1. Front Matter
      Pages 37-37
    2. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 39-85
    3. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 86-139
    4. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 140-164
    5. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 165-187
  4. Wavelet Approximation and Algorithms

    1. Front Matter
      Pages 189-189
    2. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 191-201
    3. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 202-235
    4. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 236-265
    5. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 266-279
    6. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 280-340
  5. Wavelet Applications

    1. Front Matter
      Pages 341-341
    2. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 343-365
    3. Howard L. Resnikoff, Raymond O. Wells Jr.
      Pages 366-396
  6. Back Matter
    Pages 397-435

About this book

Introduction

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 predicting the physical world? The projection of the mathematical method onto the subspace of human endeav­ 1 ors has long been a source of societal progress and commercial technology. The invention of the electronic digital computer (not the mechanical digital computer of Babbage) has made the role of mathematics in civilization even more central by making mathematics active in the operation of products. The writing of this book was intertwined with the development of a start-up company, Aware, Inc. Aware was founded in 1987 by one of the authors (H.L.R.), and the second author (R.O.W.) put his shoulder to the wheel as a consultant soon after.

Keywords

Modulation Signal algorithm algorithms analysis coding communication data compression development image processing information simulation wavelet

Authors and affiliations

  • Howard L. Resnikoff
    • 1
  • Raymond O. WellsJr.
    • 2
  1. 1.Future WAVE Inc.BostonUSA
  2. 2.Department of MathematicsRice UniversityHoustonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0593-7
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6830-7
  • Online ISBN 978-1-4612-0593-7
  • Buy this book on publisher's site
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