Photoshop :: Image Processing - Doubling Frequency?

There's some image processing commands in photoshop, like high pass and blur (i.e. low pass). I want more. Is there a way to achieve frequency doubling, or better yet, frequency x N where N is any number the user can specify?
 
This may be useful for making coarse skin texture look finer. It can be implemented by diving the selected area into small squares, and then shrink each squares to half their original sizes. This would make the details look finer grain (hence frequency doubling). It would open up gaps between the squares, which can be filled in by taking additional samples and shrinking them to fill the gaps. This is similar to frequency doubling in audio processing.