Patrick Van Fleet
Tuesday, April 12, 2005 at 3:30pm in Olin 320
Wavelets are a new mathematical tool and they are used to decompose signals or images into an approximation of the original and levels of details. Unlike Fourier decompositions, wavelet decompositions are locally attuned to changes in data and such decompositions lend themselves well to applications in areas such as data compression, image enhancement, and image boundary detection. The FBI currently uses wavelets to compress and store digital fingerprints and the new JPG2000 that is commonly used for images in web pages now incorporates wavelets. In this talk, we will give a very elementary introduction to wavelets. We will also discuss some methods for coding them in a computer algebra package such as mathematica, and then we will use this code to look at a couple of applications in image compression and boundary detection.
Refreshments will be served.
Patrick Van Fleet is the Director of the Center for Applied Mathematics at the University of St. Thomas