In computer graphics to generate textures like mountains, clouds, one can use things similar to trajectories of Brownian motion. To my taste these pictures are quite nice:

http://www.gameprogrammer.com/fractal.html

Or search on "RMD = random midpoint displacement" algorithm - plenty pages on web.

Going into more mathematical details: in one dimension RMD can generate franctional Brownian bridges. However 2-dimensional process generated by RMD is not 2-d fractional brownian motion (since it is NOT rotation invariant) however it might not be important.