Here we are looking at the E-max map of the images at different scales. Notice that for small scales the vorticity and temperature are very similar. You can see that for large scales, larger features from the original image are detected. When you use small scales you are able to see the smaller features. You may be able to see features with wavelet analysis that are not apparent to the naked eye When vorticity is looked at with small scale wavelets, you are able to see many of the features from the vorticity and temperature field.
E is the energy, and energy is evaluated at different times.
Local Spectra is taken from a small ellipsoid centering about a given point in k-space. It has fine space resolution and zero first moment. Mixing Using wavelets to analyze mixing data we are able to observe features that may otherwise go unnoticed. Large scale wavelets allow us to better see large scale features Small scale wavelets allow smaller scales to be seen in greater detail. This is just the beginning and more exciting things will come with anisotropic wavelets and spherical wavelets.