# Multifractal Texture Analysis using a Dilation-based Hölder Exponent

### Joao Batista Florindo, Odemir Martinez Bruno, Gabriel Landini

#### Abstract

We present an approach to extract descriptors for the analysis of grey-level textures in images. Similarly to the classical multifractal analysis, the method subdivides the texture into regions according to a local Hölder exponent and computes the fractal dimension of each subset. However, instead of estimating such exponents (by means of the mass-radius relation, wavelet leaders, etc.) we propose using a local version of Bouligand-Minkowski dimension. At each pixel in the image, this approach provides a scaling relation which fits better to what is expected from a multifractal model than the direct use of the density function. The performance of the classification power of the descriptors obtained with this method was tested on the Brodatz image database and compared to other previously published methods used for texture classification. Our method outperforms other approaches confirming its potential for texture analysis.

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#### Paper Citation

#### in Harvard Style

Florindo J., Bruno O. and Landini G. (2015). **Multifractal Texture Analysis using a Dilation-based Hölder Exponent** . In *Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)* ISBN 978-989-758-089-5, pages 505-511. DOI: 10.5220/0005302305050511

#### in Bibtex Style

@conference{visapp15,

author={Joao Batista Florindo and Odemir Martinez Bruno and Gabriel Landini},

title={Multifractal Texture Analysis using a Dilation-based Hölder Exponent},

booktitle={Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)},

year={2015},

pages={505-511},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005302305050511},

isbn={978-989-758-089-5},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)

TI - Multifractal Texture Analysis using a Dilation-based Hölder Exponent

SN - 978-989-758-089-5

AU - Florindo J.

AU - Bruno O.

AU - Landini G.

PY - 2015

SP - 505

EP - 511

DO - 10.5220/0005302305050511