General method for classification of fiber families in fiber-reinforced materials: application to in-vivo human skin images

摘要

Schematic representation of the FINE algorithm. ( ) Exemplary Monte-Carlo simulated fiber image with 300 isotropically distributed fibers and two aligned fiber families, each containing 175 fibers . ( ) The angular orientation distribution is achieved according to Witte . ( ) As a first step the cumulative orientation distribution (COD) is checked for isotropy as the value of a straight line with slope is examined. ( ) Fit of a single step function to model one fiber family ( Eq. ( )) to the COD. ( ) Difference between the COD and with subsequent peak finding. ( ) Fit of two fiber families using a series of two sigmoid functions . ( ) Difference between the signal COD and with subsequent peak finding. ( ) Final fit of three fiber families using a series of three sigmoid functions . ( ) Final difference between the COD and . Since no significant residuals are present, the algorithm terminates. ( ) Summary of the fit parameters of the three fiber family fit . Two highly aligned fiber families in addition to one isotropic fiber family are identified.