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Optical Engineering

Optimized algebraic reconstruction technique for generation of grain maps based on three-dimensional x-ray diffraction (3DXRD)
Author(s): Xiaowei Fu; Erik Knudsen; Henning Friis Poulsen; Gabor T. Herman; Bruno M. Carvalho; Hstau Y. Liao
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Paper 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.

Paper Details

Date Published: 1 November 2006
PDF: 9 pages
Opt. Eng. 45(11) 116501 doi: 10.1117/1.2390680
Published in: Optical Engineering Volume 45, Issue 11
Show Author Affiliations
Xiaowei Fu, Risø National Lab. (Denmark)
Erik Knudsen, Risø National Lab. (Denmark)
Henning Friis Poulsen, Risø National Lab. (Denmark)
Gabor T. Herman, The City Univ. of New York (United States)
Bruno M. Carvalho, Stevens Institute of Technology (United States)
Hstau Y. Liao, The City Univ. of New York (United States)


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