3D Grain Reconstruction from Boxscan Data

Abstract : A method for reconstructing the 3D shape of a single grain in a polycrystal from far-field-diffraction data is presented. The reconstruction is performed using an iterative algorithm, algebraic reconstruction technique (ART), to solve a linear system of equations obtained from data from the Boxscan technique. The Boxscan technique is a 3D X-ray diffraction-type scanning technique, which - in geometric tomography terms - provides 2-dimensional X-rays of the object as data. In this paper, we report on the first experimental 3D grain shape reconstruction based on a beta-titanium sample. By comparing our results to high-resolution phase contrast tomography, we find that the average error on the position of the grain boundary in this sample is 2.7 micrometers for a grain radius of 17 micrometers. This result is similar to other current methods.

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