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Textural analysis of disordered materials with multifractals

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  • Saucier, Antoine
  • Muller, Jiri

Abstract

We propose a systematic method to choose the scaling range for multifractal analysis, and we illustrate this method by examining the texture of paper formation and pore space of sedimentary chalks. To clarify the statistical meaning of a texture characterization based on the moments of a measure (such as multifractal analysis), we examine the connection between these moments and the multipoint correlations of the underlying signal.

Suggested Citation

  • Saucier, Antoine & Muller, Jiri, 1999. "Textural analysis of disordered materials with multifractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(1), pages 221-238.
    • Handle: RePEc:eee:phsmap:v:267:y:1999:i:1:p:221-238
    DOI: 10.1016/S0378-4371(98)00655-4
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    References listed on IDEAS

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    1. Saucier, Antoine & Muller, Jiri, 1993. "Remarks on some properties of geometrical multifractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 350-362.
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    Cited by:

    1. El Ouassini, Ayoub & Saucier, Antoine & Marcotte, Denis & Favis, Basil D., 2008. "A patchwork approach to stochastic simulation: A route towards the analysis of morphology in multiphase systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 418-436.
    2. Saucier, Antoine & Richer, Jacques & Muller, Jiri, 2002. "Assessing the scope of the multifractal approach to textural characterization with statistical reconstructions of images," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(1), pages 231-259.
    3. B., Smitha & K., Paul Joseph, 2019. "Fractal and multifractal analysis of atherosclerotic plaque in ultrasound images of the carotid artery," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 91-100.

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    1. El Ouassini, Ayoub & Saucier, Antoine & Marcotte, Denis & Favis, Basil D., 2008. "A patchwork approach to stochastic simulation: A route towards the analysis of morphology in multiphase systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 418-436.
    2. Saucier, Antoine, 1996. "Scaling properties of disordered multifractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 34-63.

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