Wavelet Based Methods in Image Processing

S. Allen Broughton
Rose-Hulman Institute of Technology
Winter Quarter 1998

RHIT Applied Mathematics Seminar

Abstract

It is obvious to all that image (and signal) processing has become an exceedingly important and hot topic that cuts across many areas: engineering, physical science, computer science and of course mathematics. Less obvious, but becoming increasingly well known, is that signal and image processing are getting great improvements in performance by using wavelet based methods.

In an effort to achieve better understand the wavelet based methods and image processing itself, I will give a series of talks that introduce wavelet based image processing methods in the context of traditional image processing. The plan is to have about four talks that roughly cover the following:

Introduction to image processing and image processing problems: restoration, compression and denoising
Filtering and Fourier methods
Localization, wavelet and windowed transforms
Filter bank implementation of wavelet based methods

The talks will, of course, have an underlying mathematical theme, but I intend to use lots of examples and computer illustrations that Ed Doering and I have developed in our joint course last fall. The talks should be accessible to all faculty and most interested undergraduates.