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arXiv · 2210.01939

Curvelet-based Model for the Generation of Anisotropic Fractional Brownian Fields

Marcos Vinícius Cândido Henriques
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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.

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Marcos Vinícius Cândido Henriques. 2022-10-04. Curvelet-based Model for the Generation of Anisotropic Fractional Brownian Fields. https://arxiv.org/abs/2210.01939

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