Some mathematics is presented without rigorous proofs.
Encoded Zerotree Wavelet encoding for image encoding is also described. I of this tutorial presents an overview of the basic concepts that are of importance in understanding the wavelet theory. This part is strictly for those who have no background in signal processing, somehow heard that some wavelet thing or other is the way to go. By seeing the graph of the scaling function or wavelet and the parameter space below, you can see, graphically, how your changes can affect the transform. It has nice features including the ability to set the number of iterations of the algorithm and buttons to perform different functions.