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Proceedings Paper

Optimization of an algebraic reconstruction technique for generation of grain maps based on diffraction data
Author(s): Xiaowei Fu; Erik Knudsen; Henning F. Poulsen; Gabor T. Herman; Bruno M. Carvalho; Hstau Y. Liao
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Paper Abstract

Recently an algebraic reconstruction method, 2D-ART, has been presented for generation of three-dimensional maps of the grain boundaries within polycrystals. The grains are mapped layer-by-layer in a non-destructive way by diffraction with hard x-rays. Here 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 from experimental data is demonstrated.

Paper Details

Date Published: 26 October 2004
PDF: 13 pages
Proc. SPIE 5535, Developments in X-Ray Tomography IV, (26 October 2004); doi: 10.1117/12.559602
Show Author Affiliations
Xiaowei Fu, Riso National Lab. (Denmark)
Erik Knudsen, Riso National Lab. (Denmark)
Henning F. Poulsen, Riso National Lab. (Denmark)
Gabor T. Herman, The Graduate Ctr./City Univ. of New York (United States)
Bruno M. Carvalho, Stevens Institute of Technology (United States)
Hstau Y. Liao, The Graduate Ctr./City Univ. of New York (United States)


Published in SPIE Proceedings Vol. 5535:
Developments in X-Ray Tomography IV
Ulrich Bonse, Editor(s)

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