An estimation method of fractal dimension of self-avoiding roughened interfaces

Authors

  • L. Damian Adame
  • A. Kryvko
  • D. Samayoa Ochoa
  • A. Rodríguez Castellanos

Keywords:

Fractal dimension, Roughened interface, Hall-Wood, Box-count, Image processing

Abstract

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.

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Published

2017-01-01

How to Cite

[1]
L. Damian Adame, A. Kryvko, D. Samayoa Ochoa, and A. Rodríguez Castellanos, “An estimation method of fractal dimension of self-avoiding roughened interfaces”, Rev. Mex. Fís., vol. 63, no. 1 Jan-Feb, pp. 12–0, Jan. 2017.

Issue

Vol. 63 No. 1 Jan-Feb (2017): Revista Mexicana de Física

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.