The paper concerns estimation of anisotropy of planar fibre systems using t
he relation between the rose of directions and the rose of intersections. T
he discussion about the properties of the Steiner compact estimator is base
d on both theoretical and simulation results. The approach based on the dis
tribution of the Prokhorov distance between the estimated and true rose of
directions is developed. Finally the curved test systems are investigated i
n both Fourier and Steiner compact analysis of anisotropy.