Clay Public Lecture
Surfing with wavelets
Tuesday, April 10, 2007 at 7:00 PM
Kirsch Auditorium (Room 3 —470)
In this talk, Princeton mathematics professor Ingrid Daubechies will explain the basic principles of wavelets and illustrate how they are used by scientists as a mathematical tool in many different applications.
Wavelets give a new approach to the analysis of sounds and images, and are used in many other applications. The wavelet transform provides the mathematical analog of a music score: just as the score tells a musician which notes to play when, the wavelet analysis of a sound takes things apart into elementary units with a well defined frequency (which note?) and a well defined time (when?). For images, wavelets allow you to first describe the coarse features with a broad brush, and then later to fill in details, as with the zoom function of a camera. The wavelet transform is sometimes called a "mathematical micropscope."
Professor Ingrid Daubechies is in the Mathematics Department and the Program in Applied and Computational Mathematics at Princeton University. Her research focuses on the mathematical aspects of time-frequency analysis, particularly wavelets and their applications.