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Título: A simple method for estimating the fractal dimension from digital images: The compression dimension
Autor: Chamorro-Posada, Pedro
Año del Documento: 2017
Editorial: Elsevier
Descripción: Producción Científica
Documento Fuente: Chaos, Solitons & Fractals, octubre 2016, vol. 91, p. 562-572
Resumen: The fractal structure of real world objects is often analyzed using digital images. In this context, the compression fractal dimension is put forward. It provides a simple method for the direct estimation of the dimension of fractals stored as digital image files. The computational scheme can be implemented using readily available free software. Its simplicity also makes it very interesting for introductory elaborations of basic concepts of fractal geometry, complexity, and information theory. A test of the computational scheme using limited-quality images of well-defined fractal sets obtained from the Internet and free software has been performed. Also, a systematic evaluation of the proposed method using computer generated images of the Weierstrass cosine function shows an accuracy comparable to those of the methods most commonly used to estimate the dimension of fractal data sequences applied to the same test problem.
Revisión por Pares: SI
DOI: https://doi.org/10.1016/j.chaos.2016.08.002
Patrocinador: Junta de Castilla y León Regional Grant VA089U16
Version del Editor: http://www.sciencedirect.com/science/article/pii/S0960077916302399
Propietario de los Derechos: Elsevier
Idioma: spa
URI: http://uvadoc.uva.es/handle/10324/23930
Derechos: info:eu-repo/semantics/restrictedAccess
Aparece en las colecciones:DEP71 - Artículos de revista

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