One last thought on Wavelet image sharpening

The GIMP's plugin documentation for the Wavelet sharpen plugin is interesting:

"The wavelet decomposition of an image results in multiple images with different frequency content. When amplifying the high frequency parts the recomposed image appears to be sharper than the original one. That way the frequency which should be amplified most can also be selected and a given unsharpness in the original image can be taken into account."

That matches with Tom Crimi's description of Wavelets as vaguely similar to the uniquitous FFT.