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

Y. ZHAO

Department of Automatic Control and System Engineering, University of Sheffield, UK

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S. A. BILLINGS

Department of Automatic Control and System Engineering, University of Sheffield, UK

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D. COCA

Department of Automatic Control and System Engineering, University of Sheffield, UK

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R. I. RISTIC

Department of Chemical and Process Engineering, University of Sheffield, UK

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, and

L. DEMATOS

Department of Chemical and Process Engineering, University of Sheffield, UK

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https://doi.org/10.1142/S0218127409024074Cited by:4 (Source: Crossref)

Abstract

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.

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