University of Georgia
Mathematics Department Colloquium
Professor Alex Petukhov
University of South Carolina
February 6, 2003
Wavelet Frames and Their Applications
We begin with a short introduction to general and
wavelet frames. The theoretical part of the talk includes the
discussion of the methods for constructing wavelet frames with the
given properties. Some ideas of applications of frames to data
representation (including compression, resilience to the errors of
transmission) will be given. Frame-based algorithms for the recovery
of corrupted data (images) with the results of numerical modelling
will be presented.