Using a particular wavelet function, I’ve broken an image of the Lagoon Nebula (M8) into small-scale features around four pixels in size, large-scale features 32 pixels in size, and a residual ...

Mitsuo Izuki, THE CHARACTERIZATIONS OF WEIGHTED SOBOLEV SPACES BY WAVELETS AND SCALING FUNCTIONS, Taiwanese Journal of Mathematics, Vol. 13, No. 2A (April 2009), pp. 467-492 ...

The resulting matrix-valued scaling functions and wavelet functions are calculated. Two of the derived filter classes have variable parameters providing rich classes of designs. A discrete ...