Stochastic Fractal Models for Image Processing

Beatrice Pesquet-Popescu (1) , Jacques Lévy Véhel (2)

1 TSI - Département Traitement du Signal et des Images
2 FRACTALES - Fractals, complex models and artificial evolution

Our study of fractal landscapes departs from the simplest but yet effective model of fractional Brownian motion and explores its two-dimensional (2-D) extensions. We focus on the ability to introduce anisotropy in this model, and we are also interested in considering its discrete-space counterparts. We then move towards other multifractional and multifractal models providing more degrees of freedom for fitting complex 2-D fields. We note that many of the models and processing are implemented in FracLab, a software MATLAB/Scilab toolbox for fractal processing of signals and images.

Domaines: Probabilités [math.PR]

Beatrice Pesquet-Popescu, Jacques Lévy Véhel. Stochastic Fractal Models for Image Processing. IEEE Signal Processing Magazine, 2002, 19 (5), pp.48-62. ⟨10.1109/MSP.2002.1028352⟩. ⟨inria-00581030⟩