An estimation method of fractal dimension of self-avoiding roughened interfaces
DOI:
https://doi.org/10.31349/RevMexFis.63.1.12Keywords:
Fractal dimension, Roughened interface, Hall-Wood, Box-count, Image processingAbstract
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.Downloads
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