Multiscale Fractal Descriptors Applied to Nanoscale Images

TL;DR

This paper introduces multiscale fractal descriptors based on Bouligand-Minkowski fractal dimension for analyzing nanoscale images, effectively distinguishing between different titanium oxide films under various experimental conditions.

Contribution

It presents a novel application of multiscale fractal descriptors to nanoscale image analysis, enhancing discrimination capabilities in material characterization.

Findings

Descriptors successfully discriminate between titanium oxide films.

Multiscale fractal analysis improves nanoscale surface characterization.

Proposed method demonstrates high discrimination power.

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.