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

TitleStatistical analysis of digital images of periodic fibrous structures using generalized Hurst exponent distributions
Publication TypeJournal Article
Year of Publication2016
AuthorsBlachowicz T, Ehrmann A, Domino K
JournalPhysica A: Statistical Mechanics and its Applications
Volume452
Pagination167 - 177
ISSN0378-4371
KeywordsRandom walk Hurst exponent Statistical analysis Image analysis Shannon entropy Textile materials
AbstractAbstract 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.
URLhttp://www.sciencedirect.com/science/article/pii/S0378437116001795
DOI10.1016/j.physa.2016.02.013