An estimation method of fractal dimension of self-avoiding roughened interfaces
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 R 2 based on the Box-count and Hall-Wood estimators is developed. Some physical implications are discussed.
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Sociedad Mexicana de Física
2017
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2017000100012 |
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oai:scielo:S0035-001X20170001000122018-11-06An estimation method of fractal dimension of self-avoiding roughened interfacesDamian Adame,L.Kryvko,A.Samayoa Ochoa,D.Rodríguez Castellanos,A. 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 R 2 based on the Box-count and Hall-Wood estimators is developed. Some physical implications are discussed.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.63 n.1 20172017-02-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2017000100012en |
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México |
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| language |
English |
| format |
Digital |
| author |
Damian Adame,L. Kryvko,A. Samayoa Ochoa,D. Rodríguez Castellanos,A. |
| spellingShingle |
Damian Adame,L. Kryvko,A. Samayoa Ochoa,D. Rodríguez Castellanos,A. An estimation method of fractal dimension of self-avoiding roughened interfaces |
| author_facet |
Damian Adame,L. Kryvko,A. Samayoa Ochoa,D. Rodríguez Castellanos,A. |
| author_sort |
Damian Adame,L. |
| title |
An estimation method of fractal dimension of self-avoiding roughened interfaces |
| title_short |
An estimation method of fractal dimension of self-avoiding roughened interfaces |
| title_full |
An estimation method of fractal dimension of self-avoiding roughened interfaces |
| title_fullStr |
An estimation method of fractal dimension of self-avoiding roughened interfaces |
| title_full_unstemmed |
An estimation method of fractal dimension of self-avoiding roughened interfaces |
| title_sort |
estimation method of fractal dimension of self-avoiding roughened interfaces |
| description |
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 R 2 based on the Box-count and Hall-Wood estimators is developed. Some physical implications are discussed. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2017 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2017000100012 |
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