AN APPROACH TO COMPUTE FRACTAL DIMENSION OF COLOR IMAGES

Abstract

The analysis of fractal patterns has grown during the past years, mainly due to the wide range of applications to diverse scientific areas where fractals have been explored. It turns out that the key tool to study the complexity of a given system is the Fractal Dimension (FD), since this is its main invariant which throws quite useful information about the complexity that it presents when being examined with enough level of detail. In the proposed method, we adopt a hyper-surface partition method which considers the hyper-surface as continuous and divides the image into non-overlapped blocks. We present a novel counting method in the RGB color domain. The experimental results demonstrate that the proposed method shows its robustness and it can be performed as a reliable FD estimation approach for the color images. The running time of the proposed method is much shorter than that of other algorithms.