2024-03-29T11:05:48Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/239302021-06-23T13:27:55Zcom_10324_1191com_10324_931com_10324_894col_10324_1379
A simple method for estimating the fractal dimension from digital images: The compression dimension
Chamorro Posada, Pedro
Producción Científica
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.
Junta de Castilla y León Regional Grant VA089U16
2017-06-23T16:04:15Z
2017-06-23T16:04:15Z
2017
info:eu-repo/semantics/article
https://doi.org/10.1016/j.chaos.2016.08.002
Chaos, Solitons & Fractals, octubre 2016, vol. 91, p. 562-572
http://uvadoc.uva.es/handle/10324/23930
spa
http://www.sciencedirect.com/science/article/pii/S0960077916302399
Attribution-NonCommercial-NoDerivatives 4.0 International
info:eu-repo/semantics/restrictedAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
Elsevier
application/pdf
Elsevier