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

Author Blachowicz T.; Ehrmann A.; Domino K.
Title Statistical analysis of digital images of periodic fibrous structures using generalized Hurst exponent distributions
Journal Physica A: Statistical Mechanics and its Applications
Year 2016
Status Published
Volume 452
Pages 167 - 177
DOI http://dx.doi.org/10.1016/j.physa.2016.02.013
URL http://www.sciencedirect.com/science/article/pii/S0378437116001795
Abstract 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.
ISSN 0378-4371