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Dr. Cristina Pereyra - Course Outline

DR. CRISTINA PEREYRA
Department of Mathematics and Statistics
University of New Mexico
Albuquerque, New Mexico, USA
crisp@math.unm.edu

1) Time frequency analysis: from Fourier analysis to multiresolution analysis.
2) A wavelet beastiary: from Haar to Daubechies compactly supported wavelets.
3) Filter banks and fast wavelet transform. Other algorithms: lifting scheme.
4) Friends, relatives and mutations of wavelets: biorthogonal wavelets, multiwavelets, two dimensional wavelets, wavelets on the interval, wavelet packets.
5) Assorted applications: compression, denoising, image analysis (JPEG), feature detection (FBI fingerprints), differential equations.