We propose a simple generalization of the box fractal dimension in images by considering the curve obtained from its value as a function of the binarization threshold. This curve can be used to partially describe ordinary ...

Many forms in the nature can not be explained in the molds of the conventional mathematics. In order to fulfill this need scientists have developed the fractal geometry. The science of Fractals, since its origin, is the ...

A Geometria Fractal é uma área da Matemática que está em desenvolvimento e, dessa forma, apresenta bastante espaço para crescimento e descobertas. Além disso, os fractais são objetos que despertam curiosidade, pois apresentam ...

We propose a generalized Box Fractal algorithm to segment activity speckle images. The time history of the intensity value at every pixel of the frames is taken as a time series. The plot of this time series is then ...

This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour. The proposed method maps the fractal contour onto a complex signal ...

Images, particularly photomicrographs, provide qualitative information about surfaces of foods and cells. Methods to analyze the texture of images such as fractional Brownian motion (FBMM), box counting (BCM), and fractal ...