ABSTRACT

This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in "hypertext fashion," the book tells a story of scientific dis

part |2 pages

PART I The World According to Wavelets

chapter |2 pages

Prologue

chapter II|18 pages

Seeking New Tools

chapter III|18 pages

A New Language Acquires a Grammar

chapter IV|34 pages

Applications

chapter V|20 pages

Beyond Wavelets

part |2 pages

PART I1 Beyond Plain English

chapter |4 pages

Apologia

chapter 1|8 pages

The Fourier Transform

chapter 4|8 pages

The Fast Fourier Transform

chapter 5|4 pages

The Continuous Wavelet Transform

chapter 6|12 pages

Orthogonality and Scalar Products

chapter 7|18 pages

Multiresolution

chapter 8|10 pages

The Fast Wavelet Transform

chapter 9|6 pages

Wavelets in Two Dimensions

chapter 10|2 pages

Pyramid Algorithms of Burt and Adelson

chapter 11|2 pages

Multiwavelets

chapter 15|8 pages

Wavelets and Vision: Another Perspective

chapter 16|10 pages

Which Wavelet?

chapter 17|4 pages

Different Transforms: A Summary

chapter 18|4 pages

Wavelets, Music, and Speech

chapter 19|2 pages

The Lifting Scheme

chapter 20|4 pages

Best Basis

part |2 pages

PART III: Appendices

chapter |2 pages

A: Mathematical Symbols

chapter C|4 pages

Integrals

chapter |4 pages

E: The Sampling Theorem: A Proof

chapter |4 pages

Further Reading