Table 1 MSEs of the pole widths standardization approximation for \(\psi _{\textrm{max}}\) of \(40^\circ\), \(50^\circ\), \(60^\circ\), \(70^\circ\). Pole plots contain grains with equally distributed grain numbers in the range of 1–3 grains. Lower values of MSE indicate better approximation. The reference values constitute the MSE when the samples are compared with a completely black pole plot, i.e., when all intensity values are 0. We calculated the MSE for 100,000 simulated pole plots of equally distributed grain orientations per \(\psi _{\textrm{max}}\). This reference pretends that the standardization was a blank pole plot to judge the shown MSE values. The MSE of the reconstructions is far smaller than the MSE of the corresponding references.

From: Reconstruction of incomplete X-ray diffraction pole figures of oligocrystalline materials using deep learning