MULTIFRACTAL DESCRIPTION OF NATURAL SCENES

In this paper, a general class of fractional random fields, ℬ_α, 0≤α<2, is defined. The members of ℬ_α can be used to model natural scenes and textures. It is shown that the fractal dimension of random fields in ℬ_α is a linear nonincreasing function of a for 0≤α<α₀ and a linear nondecreasing function of α for α₀<α<2. The number α₀ corresponds to the Hausdorff-Besicovitch dimension of the random field. These linear relationships are significant for texture comparison and classification.