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University of St. Thomas Center for Applied Mathematics

Wavelet Workshop

Institute for Mathematics and Its Applications
July 13-16 2011

Lecture Slides

The best way to view these pdf files is to first right-click on the link and save the file to your computer, next open in Adobe Acrobat, and finally, type Ctrl-L or select Full Screen under View on the menu bar.

Lecture 1 - Why Wavelets? PDF File

Lecture 2 - Digital Image Basics PDF File

Lecture 3 - The Discrete Haar Wavelet Transform PDF File

Lecture 4 - Coding the Haar Wavelet Transform PDF File

Lecture 5 - Measurements PDF File

Lecture 6 - Huffman Coding PDF File

Lecture 7 - The HWT and Image Compression PDF File

Lecture 8 - Daubechies Filters PDF File

Lecture 9 - Fourier Series and Filter Design PDF File

Lecture 10 - Biorthogonal Filters PDF File

Mathematica Notebooks

These notebooks will be posted shortly before the start of the workshop.

Basic Commands Notebook

Digital Images Notebook

Haar Transform 1D Notebook

Haar Transform 2D Notebook

Haar Edge Detection Notebook

Measurements Notebook

Huffman Coding Notebook

Haar Image Compression Notebook

Daubechies Filters Notebook

Fourier Series and Filter Design Notebook

Matlab M-Files

Here are the Matlab m-files used during the workshop. Many m-files require digital images or audio files. These files are all available on the website given in the m-files.

Basic Commands M-file

Digital Images M-file

Haar Transform 1D M-file

Haar Transform 2D M-file

Measurements M-file

Huffman Coding M-file

Haar Image Compression M-file