@article{58a3faf84e864c3497617dd123899510,
title = "Wavelet-Based entropy measures to characterize two-dimensional fractional brownian fields",
abstract = "The aim of this work was to extend the results of Perez et al. (Physica A (2006), 365 (2), 282-288) to the two-dimensional (2D) fractional Brownian field. In particular, we defined Shannon entropy using the wavelet spectrum from which the Hurst exponent is estimated by the regression of the logarithm of the square coefficients over the levels of resolutions. Using the same methodology. we also defined two other entropies in 2D: Tsallis and the Renyi entropies. A simulation study was performed for showing the ability of the method to characterize 2D (in this case, α = 2) self-similar processes.",
keywords = "Fractional brownian motion, R{\'e}nyi entropy, Shannon entropy, Tsallis entropy, Wavelets",
author = "Orietta Nicolis and Jorge Mateu and Contreras-Reyes, {Javier E.}",
note = "Funding Information: Funding: O.N. research was partially funded by the DI-03-19/R grant of the Andres Bello University (Chile), and J. M. research by Universitat Jaume I through grant UJI-B2018-04, and by Ministery of Science through grant MTM2016-78917-R. J.E.C.-R. research was partially supported by FONDECYT (Chile) grant no. 11190116. Publisher Copyright: {\textcopyright} 2020 by the authors.",
year = "2020",
month = feb,
day = "1",
doi = "10.3390/e22020196",
language = "English",
volume = "22",
journal = "Entropy",
issn = "1099-4300",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "2",
}