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

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

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

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

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 ℝ² based on the Box-count and Hall-Wood estimators is developed. Some physical implications are discussed.

Original language	English
Pages (from-to)	12-18
Number of pages	7
Journal	Revista Mexicana de Fisica
Volume	63
Issue number	1
State	Published - 2017

Keywords

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

Cite this

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AU - Rodríguez Castellanos, A.

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AB - 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 ℝ2 based on the Box-count and Hall-Wood estimators is developed. Some physical implications are discussed.

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KW - Hall-Wood

KW - Image processing

KW - Roughened interface

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

Abstract

Keywords

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