RT info:eu-repo/semantics/article T1 A simple method for estimating the fractal dimension from digital images: The compression dimension A1 Chamorro Posada, Pedro AB 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. PB Elsevier YR 2017 FD 2017 LK http://uvadoc.uva.es/handle/10324/23930 UL http://uvadoc.uva.es/handle/10324/23930 LA spa NO Chaos, Solitons & Fractals, octubre 2016, vol. 91, p. 562-572 NO Producción Científica DS UVaDOC RD 22-nov-2024