Park City Mathematics Institute
Project Abstract
Wavelets are Fun!
Authors: Brian Hopkins, Robert Greenblatt, Shira Helft, Leslie Hicks, Manish Parmar, TJ Peacher, Rebecca Poore, Renee Trochet
This teacher group participated in the Undergraduate Summer School course on wavelets led by Ed Aboufadel of Grand Valley State University. The group attended the 1pm lecture and then spent an hour debriefing, working on problem sets, discussing supplementary articles supplied by the instructor, etc. Mathematica (available for free to PCMI participants) was the primary tool. Initial classes established the theoretical foundation of wavelets, focusing on the work of Alfr├ęd Haar in the early 20th century and major extensions by Ingrid Daubechies in the 1980s. Applications then became the focus, such as hiding information via steganography, defeating online security CAPTCHAs, simulating the artistic style of Chuck Close, detecting potholes from sensors on cars, analyzing handwriting, and authenticating artwork.
download file [PDF] [PPTX]

Back to Index

PCMI@MathForum Home || IAS/PCMI Home

© 2001 - 2018 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540
Send questions or comments to: Suzanne Alejandre and Jim King

With program support provided by Math for America

This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.