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Assessing the scope of the multifractal approach to textural characterization with statistical reconstructions of images

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  • Saucier, Antoine
  • Richer, Jacques
  • Muller, Jiri

Abstract

This paper is an attempt to assess more precisely the scope of the multifractal approach for textural characterization. We perform a series of numerical experiments to reconstruct black and white images from the multiscale moments of a measure defined by a reference image. The reconstructed images, obtained by simulated annealing, have multifractal statistics identical to the reference image. A comparison of the reconstructions with the related reference image reveals some of the strengths and limitations of the multifractal characterization.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:311:y:2002:i:1:p:231-259
    DOI: 10.1016/S0378-4371(02)00814-2
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Marina V Karsanina & Kirill M Gerke & Elena B Skvortsova & Dirk Mallants, 2015. "Universal Spatial Correlation Functions for Describing and Reconstructing Soil Microstructure," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-26, May.
    2. 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.

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