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• W2059632213 abstract "We discuss and implement computer approximations of fractal and multifractal hypersurfaces. These hypersurfaces consist of reconstructions of a stochastic process in the real space from randomly distributed variables in the discrete wavelet domain. The synthetic surfaces have the usual fractional Brownian motion as a particular case, and inherit the correlation structure of these fractals. We first introduce the one-dimensional version of these surfaces that obey a weak self-affine symmetry. This symmetry appears in the wavelet domain as a condition on the second moments of the probability distributions of the wavelet coefficients. Then we use these relations to define the fractals and multifractals in d dimensions. Finally, we concentrate on the generation of samples of these hypersurfaces." @default.
• W2059632213 created "2016-06-24" @default.
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• W2059632213 date "2003-03-24" @default.
• W2059632213 modified "2023-09-26" @default.
• W2059632213 title "Models for correlated multifractal hypersurfaces" @default.
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• W2059632213 doi "https://doi.org/10.1103/physreve.67.036702" @default.
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