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Title: A $K-$function for inhomogeneous fiber patterns Authors:  Rasmus Waagepetersen - Aalborg University (Denmark) [presenting]
Abstract: A $K-$function is presented for assessing second-order properties of inhomogeneous fiber patterns generated by marked point processes. The $K-$function takes into account the geometric features of the fibers, such as tangent directions. The $K-$function requires an estimate of the inhomogeneous density function of the fiber pattern. We introduce parametric estimates for the density function based on parametric models that represent large-scale features of the inhomogeneous fiber pattern. The proposed methodology is applied to simulated fiber patterns as well as a three-dimensional data set of steel fibers in concrete.