A program for fractal and multifractal analysis of two-dimensional binary images: Computer algorithms versus mathematical theory

• DOI: 10.1016/j.geoderma.2006.03.023
• Publication Date: 2006-05-09T13:08:55Z
• Authors: Edith Perrier; Ana M. Tarquis; Annette Dathe
• Keywords: Multifractal system; Box counting

In this paper we present a tool to carry out the multifractal analysis of binary, two-dimensional images through the calculation of the Rényi D(q) dimensions and associated statistical regressions. The estimation of a (mono)fractal dimension corresponds to the special case where the moment order is q = 0.