IDENTIFICATION OF THE TRANSITION RULE IN A MODIFIED CELLULAR AUTOMATA MODEL: THE CASE OF DENDRITIC NH₄Br CRYSTAL GROWTH

A method of identifying the transition rule, encapsulated in a modified cellular automata (CA) model, is demonstrated using experimentally observed data of the evolution of dendritic crystal growth patterns in NH4Br crystals. The influence of the factors, such as experimental set-up and image preprocessing, color and size calibrations, on the method of identification are discussed in detail. A noise reduction parameter and the diffusion velocity of the crystal boundary are also considered. The results show that the proposed method can in principle provide a good representation of the dendritic growth anisotropy.