The science of fractal images

By H. Peitgen, Michael F. Barnsley. 2011

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MULTIFRACTIONAL PROCESSES WITH RANDOM EXPONENT (2005, neutral): “Or consider the field of image synthesis: FBM has been frequently used for generating artificial mountains [4], but one obtains in this way mountains whose irregularity is the same everywhere.”
Highly comparative time-series analysis: the empirical structure of time series and their methods (2013, methodology): “Time series of 5000 samples were generated with scaling exponents uniformly distributed in the range 21 a 3 by two different methods: (i) 199 time series generated using the Fourier filtering method and (ii) 199 time series generated using the random midpoint displacement method [16] (cf.”
Generators of long-range dependent processes: A survey (2003, methodology): “5 Direct spectral method Voss [42], Feder [15], Peitgen and Saupe [33] and Paxson [32] generate an approximation of fractional Gaussian noise (increments of fractional Brownian motion) by using the Discrete Fourier Transform without applying the”
Architectural Lessons from Environmental Psychology: The Case of Biophilic Architecture (2007, background): “For fractals in space, the fractal dimension lies between 2 and 3 (Voss, 1988).”