Speaker: Dan Rockmore Title: A Wreath Product Approach to Signal and Image Processing Affiliation: Mathematics and Computer Science Dartmouth Hannover, NH USA URL: http://www.cs.dartmouth.edu/~rockmore/ Email: rockmore@cs.dartmouth.edu Abstract We propose the use of spectral analysis for wreath product groups in digital image processing. Within this large class of groups our approach recovers the DFT, Haar wavelet transform, various multichannel pyramid filter banks and other aspects of multiresolution analysis as special cases of a more general phenomenon. In addition the group structure provides a rich algebraic structure (eg. convolution and correlation) which can be exploited for the analysis and manipulation of signals. Numerical and experimental results are included. This is joint work with R. Foote (UVM), G. Mirchandani (UVM), D. Healy (Dartmouth) and T. Olson (UF).