Curvelet-based Model for the Generation of Anisotropic Fractional Brownian Fields
Data Analysis, Statistics and Probability
2022-10-06 v1
Abstract
We propose a curvelet-based model for the generation of Anisotropic Fractional Brownian Fields, that are suited to model systems with orientation-dependent self-similar properties. The synthesis procedure consists of generating coefficients in the curvelet space with zero-mean Gaussian distribution. This approach allows the representation of natural systems having stochastic behavior in some degree and also obeying to a given angular distribution of correlations. Examples of such systems are found in heterogeneous geological structures, in anisotropic materials and in complex disordered media.
Cite
@article{arxiv.2210.01939,
title = {Curvelet-based Model for the Generation of Anisotropic Fractional Brownian Fields},
author = {Marcos Vinícius Cândido Henriques},
journal= {arXiv preprint arXiv:2210.01939},
year = {2022}
}