TY - JOUR AU - Tomasz Blachowicz AU - Andrea Ehrmann AU - Krzysztof Domino AB - 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. BT - Physica A: Statistical Mechanics and its Applications DO - http://dx.doi.org/10.1016/j.physa.2016.02.013 LA - eng N2 - 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. PY - 2016 SP - 167 EP - 177 T2 - Physica A: Statistical Mechanics and its Applications TI - Statistical analysis of digital images of periodic fibrous structures using generalized Hurst exponent distributions UR - http://www.sciencedirect.com/science/article/pii/S0378437116001795 VL - 452 SN - 0378-4371 ER -