Introduction to Wavelets and Some Applications
11/18/1999
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Table of Contents
Title Page
Fourier Analysis
Fourier Series
Application of Transforms
Representation
Example of Slow Convergence
Desire for Localization
The Haar Transform
Basic Haar and Wavelet Transform
Orthogonal Projections
Recursive Property
Filter Bank
Fast Transform
Wavelet Template
2-D Tensor Product Haar
Overview of Tree Approximation and Encoding
Tree Encoding
Network Application
Client/Server Model
Features of Tree-Encoded Bitstream
Algorithm for Tree Approximation and Encoding
Thresholding
Spanning Trees
Bitplanes and Tree Growth
Dyadic Represention for Upper Half Plane
Bitstream Formation
Burn-In: Implementation of Algorithm
Client Windows Interface
Region Selection - Pruning
Offset Markers into Bitstream
Progressive Burn-In #1
Progressive Burn-In #2
Progressive Burn-In #3
Progressive Burn-In #4
Features of Encoder
End
Author:
Robert Sharpley, Department of Mathematics
Email:
sharpley@math.sc.edu
Home Page:
http://www.math.sc.edu/~sharpley