Custom Wavelet Packet Image Compression for Multimedia
Professor Dr Mladen Victor Wickerhauser, Department of Mathematics,
Washington University, St. Louis, Missouri, 63130 USA
Objectives:
Lossy image compression algorithms may be custom-designed to
match the different image classes and requirements encountered in
multimedia applications. Wavelet transform coding algorithms have proved
robust and efficient for high-resolution and technical image compression,
and are likely to spread into other areas of multimedia. This tutorial
will discuss transform coding image compression in general, with the JPEG
and WSQ image compression standards as particular examples. The audience
will learn how to design a custom wavelet-based image compression
algorithm, and how to use parts of that algorithm for de-noising.
Content:
The topics cover:
Transforms: mathematical properties of waveforms
wavelets and wavelet packets
local sines and cosines
custom wavelet packet bases
principal orthogonal decomposition
best orthogonal bases
joint best bases
Quantization: scalar, adaptive
variance weighting
visibility weighting
Redundancy removal
pre-ordering
zero-run-length precoding
Huffman coding
Compression examples
JPEG
WSQ
custom designs
Other applications
de-noising
enhancement
feature detection
error-robustness
video
Target Audience:
The audience should be familiar with fast Fourier
transforms (FFT), discrete cosine transforms (DCT), and basic mathematical
concepts like functions, graphing, vectors, bases, and orthogonality.
Tutor:
Mladen Victor Wickerhauser was born in Zagreb, Croatia in 1959. He
earned a B.S. with honor in 1980 from the California Institue of
Technology, an M.S. in 1982 and a Ph.D. in 1985 from Yale University, all
in pure mathematics. He is the author of more than 50 articles on applied
and computational harmonic analysis, a book, Adapted Wavelet Analysis from
Theory to Software, and a commercial software library for adapted wavelet
analysis. He is currently Associate Professor of Mathematics at Washington
University in St. Louis, Missouri.
Last updated: Thu Aug 29 14:06:08 MET DST 1996
work96@tel.fer.hr
