Java Wavelet Demo

Two Scale

Pick

Analysis

Denoise

Compression

Engine

Two Scale Recursive Equation for Wavelets

Wavelets and Scaling functions have to satisfy two scale recursive equations. A scaling function is the weighted sum of translated and compressed (narrow) versions of itself. While a wavelet is the weighted sum of translated and compressed versions of the corresponding scaling function. This applet shows the two scale recursive equation in action. It repeatedly displays the following three steps:

1. Shifting: The shift versions of the compressed scaling functions are shown in green.
2. Weighting: The weighted versions of the shifted and compressed scaling functions are shown in blue.
3. Summing: The running sums of the weighted versions of the shifted and compressed scaling functions are shown in yellow. At the end, we get the scaling function or wavelet at the next coarser (wider) scale.

Copyright Rice University, 1996-1997.

Haitao Guo