Abstract

DAMIAN ADAME, L.; KRYVKO, A.; SAMAYOA OCHOA, D.  and  RODRIGUEZ CASTELLANOS, A.. An estimation method of fractal dimension of self-avoiding roughened interfaces. Rev. mex. fis. [online]. 2017, vol.63, n.1, pp.12-18. ISSN 0035-001X.

Two kinds of methods (graphical and statistical) commonly used for the estimation of fractal dimension of self-avoiding interfaces were investigated. It was determined that the current methods of both kinds have significant errors for this type of profiles. In the present work a novel efficient method for the estimation of fractal dimension of self-avoiding curves embedded in the space ${\mathbb{R}}^2$ based on the Box-count and Hall-Wood estimators is developed. Some physical implications are discussed.

Keywords : Fractal dimension; Roughened interface; Hall-Wood; Box-count; Image processing.

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