For all Interested
High School Students

Session 1:
June 26 - July 7, 2006 -

Session 2:
July 10 - July 21, 2006

Lunch and Learn Seminar Series

Thursday, July 13, 2006

``Wavelets:

a Gentle Introduction" 

with

Anna Gilbert (Mathematics, UM)

Professor Gilbert and an MMSSer after the talk.

Wavelets are extremely important in modern communication science, especially for the analysis of images on a variety of different scales. Wavelets often use a version of "divide and conquer" to do computations fast compared to other methods, dividing the scale of approximation to a signal, e.g., by 2, at each step of approximation (these would be dyadic wavelets). The images below show a variety of manipulations performed on one image.

Professor Gilbert will give a gentle introduction to wavelets via the so-called lifting scheme.  Wavelets give us a variety of ways to represent signals and images.  They are used in the latest JPEG2000 image compression standard.  

Professor Gilbert's interests include randomized algorithms with applications to harmonic analysis, networking, massive data sets, and statistical analysis and modeling of network traffic. She spent five years on the research staff at AT&T Research Labs, where she specialized in network traffic and security.

JPEG versus JPEG2000 Standards

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