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oai:uvadoc.uva.es:10324/239302025-03-26T19:10:03Zcom_10324_1191com_10324_931com_10324_894col_10324_1379

Chamorro Posada, Pedro 2017-06-23T16:04:15Z 2017-06-23T16:04:15Z 2017 Chaos, Solitons & Fractals, octubre 2016, vol. 91, p. 562-572 http://uvadoc.uva.es/handle/10324/23930 10.1016/j.chaos.2016.08.002 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. spa info:eu-repo/semantics/restrictedAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Elsevier Attribution-NonCommercial-NoDerivatives 4.0 International A simple method for estimating the fractal dimension from digital images: The compression dimension info:eu-repo/semantics/article