My Perlin noise function (which adds up 6 octaves of 3D simplex at 0.75 persistence) generates a 2D array array of double
s.
These numbers each come out norm
You will probably be interested in one of the following (related) techniques:
Probability integral transform
Histogram equalization
Oddly enough I just wrote an article on your very question:
http://ericlippert.com/2012/02/21/generating-random-non-uniform-data/
There I discuss how to turn a uniform distribution into some other distribution, but of course you can use similar techniques to transform other distributions.