Multiscale Fractal Descriptors Applied to Nanoscale Images

Journal of Superconductivity and Novel Magnetism Volume: 26 Issue: 7 Pages: 2479-2484 Published: 2013

Dilated surfaces with different radii. (a) Original surface, (b) Radius 2, (c) Radius 5, and (d) Radius 10.

Writers: João B. Florindo; Mariana S. Sikora; Ernesto C. Pereira; and Odemir M. Bruno

Keywords: Porous titanium oxide; Nanomaterials; Pattern recognition; Fractal dimension; Fractal descriptors

Abstract: 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.

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DOI: 10.1007/s10948-012-1449-9

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O CDMF é um dos Centros de Pesquisa, Inovação e Difusão (CEPID) apoiados pela FAPESP. O Centro também recebe investimento do CNPq, a partir do Instituto Nacional de Ciência e Tecnologia dos Materiais em Nanotecnologia (INCTMN).