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

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.