Reference paper 1. For arguments sake, let's say that the maximum and minimum frequency in an image are 256Hz and 1024Hz. When I perform filtering using the gaussian function, the "bandlimit" reduces by an octave (1/2). Does this mean the new freq. range will be from 128Hz to 512Hz? Or does it mean that it will be 256Hz to 512Hz, but the bandpass signal (While calculating the Laplacian pyramid) will now have a freq. range 512Hz to 1024Hz (which is 1 octave)?
- Also, apart from the low pass filtering, since downsampling is also performed, shouldnt the image bandwidth reduce by more than an octave? I'm guessing that the LPF operation is what causes the reduction in bandwidth