Multiscale Fractal Descriptors Applied to Nanoscale Images

Joao B. Florindo and Mariana S. Sikora and Ernesto C. Pereira and Odemir M. Bruno

JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM, 26(7):2479-2484, 2013

This work proposes the application of fractal descriptors to the analysis of nanoscale materials under different experimental conditions. We obtain descriptors for images from the sample applying a multiscale transform to the calculation of fractal dimension of a surface map of such image. Particularly, we have used the Bouligand-Minkowski fractal dimension. We applied these descriptors to discriminate between two titanium oxide films prepared under different experimental conditions. Results demonstrate the discrimination power of proposed descriptors in such kind of application.