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A fractal analysis of skin pigmented lesions using the novel tool of the variogram technique

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  • Mastrolonardo, Mario
  • Conte, Elio
  • Zbilut, Joseph P.

Abstract

The incidence of the cutaneous malignant melanoma is increasing rapidly in the world [Ferlay J, Bray F, Pisani P, et al. GLOBOCAN 2000: Cancer incidence, mortality and prevalence worldwide, Version 1.0 IARC Cancer Base no. 5. Lyon: IARC Press, 2001]. The therapeutic address requires a method having high sensitivity and capability to diagnose such disease at an early stage. We introduce a new diagnostic method based on non-linear methodologies. In detail we suggest that fractal as well as noise and chaos dynamics are the most important components responsible for genetic instability of melanocytes. As consequence we introduce the new technique of the variogram and of fractal analysis extended to the whole regions of interest of skin in order to obtain parameters able to identify the malignant lesion. In a preliminary analysis, satisfactory results are reached.

Suggested Citation

  • Mastrolonardo, Mario & Conte, Elio & Zbilut, Joseph P., 2006. "A fractal analysis of skin pigmented lesions using the novel tool of the variogram technique," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1119-1135.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:5:p:1119-1135
    DOI: 10.1016/j.chaos.2005.08.106
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    Cited by:

    1. Pascolo, P. & Carniel, R. & Grimaz, S., 2009. "Dynamical models of the human eye and strabismus," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2463-2470.
    2. Chéné, Yann & Belin, Étienne & Rousseau, David & Chapeau-Blondeau, François, 2013. "Multiscale analysis of depth images from natural scenes: Scaling in the depth of the woods," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 135-149.
    3. Pascolo, P. & Carniel, R., 2009. "From time series analysis to a biomechanical multibody model of the human eye," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 966-974.
    4. 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.

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