Performance of a high-dimensional R/SR/S method for Hurst exponent estimation

An extension of the R/SR/S method to estimate the Hurst exponent of high-dimensional fractals is proposed. The method’s performance was adequate when tested with synthetic surfaces having different preset Hurst exponent values and different array sizes. The two-dimensional R/SR/S analysis is used to analyze three images from nature and experimental data, revealing interesting scaling behavior with physical meaning.