Constrained Diffusion Limited Aggregation in 3 Dimensions

P.D. Bourke
Computer and Graphics, Volume 30, Issue 4, August 2006, pp 646-649
Doi: 10.1016/j.cag.2006.03.01


Diffusion Limited Aggregation (DLA) has usually been studied in 2 dimensions as a model of fractal growth processes such as river networks, plant branching, frost on glass, electro-deposition, lightning, mineral deposits, and coral. Here the basic principles are extended into 3 dimensions and used to create, among other things, believable models of root systems. An additional innovation is a means of constraining the growth of the 3 dimensional DLA by a surface or containing it within a vessel.