Multiscale Fractal Descriptors Applied to Nanoscale Images
This work addresses material characterization for researchers in nanotechnology, but it is incremental as it applies an existing fractal method to a new domain.
The authors tackled the problem of analyzing nanoscale materials by applying multiscale fractal descriptors to images, using the Bouligand-Minkowski fractal dimension, and demonstrated their power in discriminating between two titanium oxide films prepared under different conditions.
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.