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Statistical analysis of digital images of periodic fibrous structures using generalized Hurst exponent distributions

Tomasz Blachowicz, Andrea Ehrmann and Krzysztof Domino

Physica A: Statistical Mechanics and its Applications, 2016, vol. 452, issue C, 167-177

Abstract: Distinction of diverse two-dimensional periodic structures can be based on a large number of methods and parameters, while the quantitative description of differences between similar samples is usually difficult. This article aims, by the use of statistical random walk in a generalized q-order dimensional space, at introducing a methodology to qualify the networked structures on the basis of exemplary textile samples. The presented results were obtained at 1-bit monochromatic maps obtained from optical microscopic pictures. Significant features of samples were represented by the obtained distributions of Hurst exponents and Shannon entropy calculations.

Keywords: Random walk; Hurst exponent; Statistical analysis; Image analysis; Shannon entropy; Textile materials (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:452:y:2016:i:c:p:167-177

DOI: 10.1016/j.physa.2016.02.013

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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