Image sampling in fourier domain

I want to sample a 2d image in fourier domain/ wavelet domain:

I want to sample it randomly to 25% of its original size.

In addition to being random, the algorithm must choose the lower frequency components in the image more than higher frequency ones.

So it has a bias towards lower frequency

I am confused how to implement it

I can sample randomly but how to include that bias of selecting lower frequency more than the higher ?

Answer 1

[yanqi liu]

sir，may be consider the wavelet decomposition