Optimized algebraic reconstruction technique for generation of grain maps based on three-dimensional x-ray diffraction (3DXRD)

Xiaowei Fu; Erik Knudsen; Henning Friis Poulsen; Gabor T. Herman; Bruno M. Carvalho; Hstau Y. Liao

doi:10.1117/1.2390680

1 November 2006 Optimized algebraic reconstruction technique for generation of grain maps based on three-dimensional x-ray diffraction (3DXRD)

Xiaowei Fu, Erik Knudsen, Henning Friis Poulsen, Gabor T. Herman, Bruno M. Carvalho, Hstau Y. Liao

Author Affiliations +

Optical Engineering, Vol. 45, Issue 11, 116501 (November 2006). https://doi.org/10.1117/1.2390680

Abstract

Recently, an algebraic reconstruction method has been presented for generation of three-dimensional (3D) maps of the grain boundaries within polycrystals. The grains are mapped layer by layer in a nondestructive way by diffraction with hard x rays. We optimize the algorithm by means of simulations and discuss ways to automate the analysis. The use of generalized Kaiser-Bessel functions as basis functions is shown to be superior to a conventional discretization in terms of square pixels. The algorithm is reformulated as a block-iterative method in order to incorporate the instrumental point-spread function and, at the same time, to avoid the need to store the set of equations. The first reconstruction of a full layer and two neighboring 3D grains from experimental data are demonstrated.

©(2006) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Xiaowei Fu, Erik Knudsen, Henning Friis Poulsen, Gabor T. Herman, Bruno M. Carvalho, and Hstau Y. Liao "Optimized algebraic reconstruction technique for generation of grain maps based on three-dimensional x-ray diffraction (3DXRD)," Optical Engineering 45(11), 116501 (1 November 2006). https://doi.org/10.1117/1.2390680

Published: 1 November 2006

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