3D directional mathematical morphology for analysis of fiber orientations

In this paper we present algorithms for measuring local characteristics of random fiber systems. The calculation of the local directions and radii is based on directional distance transform and the evaluation of the inertia moments and axes of the resulting centralized endpoints of the distance transform. The method provides continuous results while minimizing the runtime by using few sampled directions. Furthermore steps of improvement for the resulting orientation and radius information are presented. The algorithms are evaluated on synthetic data and applied to images of real microstructures obtained by computed tomography.