@inproceedings{3a672c64dd494219a16c1c65725ef7c3,
title = "Whittle maximum likelihood estimator for isotropic fractional Brownian images",
abstract = "Fractional Brownian motion (fBm) of H parameter is a stochastic fractal process that can be used to create virtual landscapes or to model 2D physical phenomenon. In this communication, we explore the Whittle maximum likelihood estimator (WMLE) to assess the H parameter of isotropic fBm images. We have compared a 1D estimator assessed from the lines increments of the image, to a 2D estimator of the 2D increments of the image. These 2 estimators were tested on 2D fBm generated using the exact Stein method. Results are of high quality. The mean H values are very close to the true ones for both estimators. The standard deviations of the 2D estimates are 2 times smaller than in 1D and should be preferred for practical application as for example texture analysis.",
keywords = "2D Fractional Brownian motion, Whittle estimator, image synthesis, periodic embedding",
author = "Rachid Harba and Gerard Jacquet and Carlos Wilches and Martha Zequera and Luis Vilcahuaman",
note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2014 ; Conference date: 15-12-2014 Through 17-12-2014",
year = "2015",
month = oct,
day = "19",
doi = "10.1109/ISSPIT.2014.7300626",
language = "English",
series = "2014 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2014 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2014",
address = "United States",
}