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Application of Higuchi’s fractal dimension in analysis of images of Anal Intraepithelial Neoplasia

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  • Klonowski, W.
  • Pierzchalski, M.
  • Stepien, P.
  • Stepien, R.
  • Sedivy, R.
  • Ahammer, H.

Abstract

To reduce computational complexity, 2-D images of tumors are firstly preprocessed following our method to form two 1-D sequences, called horizontal and vertical landscapes, and then their fractal dimension is estimated using Higuchi’s fractal dimension. We validate application of this method for grading Anal Intraepithelial Neoplasia (AIN) tumors using 120 images of histological slices graded by an experienced pathologist. The method is easy and quick and we demonstrate that it may be successfully applied for differentiation between AIN stages. It can easily be adapted to other histological specimen. Of course, like any other semiautomatic method it may support the pathologist’s decision.

Suggested Citation

  • Klonowski, W. & Pierzchalski, M. & Stepien, P. & Stepien, R. & Sedivy, R. & Ahammer, H., 2013. "Application of Higuchi’s fractal dimension in analysis of images of Anal Intraepithelial Neoplasia," Chaos, Solitons & Fractals, Elsevier, vol. 48(C), pages 54-60.
    • Handle: RePEc:eee:chsofr:v:48:y:2013:i:c:p:54-60
    DOI: 10.1016/j.chaos.2013.01.004
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    References listed on IDEAS

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    1. Ahammer, H. & DeVaney, T.T.J., 2005. "The influence of noise on the generalized dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 707-717.
    2. Ahammer, H. & Kroepfl, J.M. & Hackl, Ch. & Sedivy, R., 2011. "Fractal dimension and image statistics of anal intraepithelial neoplasia," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 86-92.
    3. Helmut Ahammer, 2011. "Higuchi Dimension of Digital Images," PLOS ONE, Public Library of Science, vol. 6(9), pages 1-8, September.
    4. 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.
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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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