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Enhancing fractal descriptors on images by combining boundary and interior of Minkowski dilation

Author

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  • Oliveira, Marcos William da S.
  • Casanova, Dalcimar
  • Florindo, João B.
  • Bruno, Odemir M.

Abstract

This work proposes to obtain novel fractal descriptors from gray-level texture images by combining information from interior and boundary measures of the Minkowski dilation applied to the texture surface. At first, the image is converted into a surface where the height of each point is the gray intensity of the respective pixel in that position in the image. Thus, this surface is morphologically dilated by spheres. The radius of such spheres is ranged within an interval and the volume and the external area of the dilated structure are computed for each radius. The final descriptors are given by such measures concatenated and subject to a canonical transform to reduce the dimensionality. The proposal is an enhancement to the classical Bouligand–Minkowski fractal descriptors, where only the volume (interior) information is considered. As different structures may have the same volume, but not the same area, the proposal yields to more rich descriptors as confirmed by results on the classification of benchmark databases.

Suggested Citation

  • Oliveira, Marcos William da S. & Casanova, Dalcimar & Florindo, João B. & Bruno, Odemir M., 2014. "Enhancing fractal descriptors on images by combining boundary and interior of Minkowski dilation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 41-48.
    • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:41-48
    DOI: 10.1016/j.physa.2014.07.074
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    References listed on IDEAS

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    1. Florindo, J.B. & Bruno, O.M., 2011. "Closed contour fractal dimension estimation by the Fourier transform," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 851-861.
    2. João Batista Florindo & Mário De Castro & Odemir Martinez Bruno, 2011. "Enhancing Volumetric Bouligand–Minkowski Fractal Descriptors By Using Functional Data Analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(09), pages 929-952.
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    Cited by:

    1. Lahmiri, Salim, 2016. "Image characterization by fractal descriptors in variational mode decomposition domain: Application to brain magnetic resonance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 235-243.

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