Abstract: A transform is often used to investigate a complicated structure by breaking it into a combination of much simpler elementary ones. For example, audio signals are composed of basic sinusoids with different frequencies and Fourier transform is a powerful tool to study them. Multiscale is very common in nature and science. Powerful mathematical tools are in high demand to process many different kinds of data in today’s world. Linked to Fourier analysis, a wavelet leads to a fast multiscale transform which can represent many types of functions and data effectively. Wavelets have many proven successful applications such as image and signal processing, curve and surface generation in computer graphics (used in animation movies), sampling for signals, and wavelet-based numerical algorithms, etc. In this talk, we will first discuss some motivations on wavelet analysis. Then we will present what is a wavelet and what is a discrete wavelet transform. To illustrate usefulness of wavelets, we mention several applications of wavelets as well as more recent advances on wavelets such as frames. This talk will introduce the audience to the theory and application of wavelets in a tutorial way while avoiding using a lot of advanced mathematics and complicated terminology.
Date: Tuesday 25 February 2014
Time: 18:45 for 19:00
Venue: African Institute for Mathematical Sciences, 6 Melrose Road, Muizenberg
Cost: Free