Stochastic fractal models for image processing

Author

Pesquet-Popescu, Béatrice ; Véhel, Jacques Lévy

Volume

19

Issue

5

fYear

2002

fDate

9/1/2002 12:00:00 AM

Firstpage

48

Lastpage

62

Abstract

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.

Keywords

Brownian motion; fractals; image texture; stochastic processes; FracLab; anisotropy; complex 2-D fields; discrete-space counterparts; fractal processing; fractional Brownian motion; image processing; image textures; multifractal models; multifractional models; nonstationary structure; self-similarity; software MATLAB/Scilab toolbox; Anisotropic magnetoresistance; Brownian motion; Fractals; Image processing; MATLAB; Mathematical model; Signal processing; Software tools; Stochastic processes; Two dimensional displays;

fLanguage

English

Journal_Title

Signal Processing Magazine, IEEE

Publisher

ieee

ISSN

1053-5888

Type

jour

DOI

10.1109/MSP.2002.1028352

Filename

1028352