Self-similar texture characterization using Wigner-Ville distribution

Abstract

Fractals have been successfully used to model "natural" shapes and forms. While using the fractal model, the most important procedure is measuring the fractal parameter H (the Hurst coefficient), which is directly related to the fractal dimension. The Wigner-Ville distribution (WVD) is a time-frequency representation with excellent time and frequency resolutions. We propose a one dimensional WVD method to measure the fractal parameter H. Synthetic fractal images and a human tibia image were used to compare the performance of the WVD method to that of the maximum likelihood estimator (MLE) method and the power spectra method.