26 October 2004 Optimization of an algebraic reconstruction technique for generation of grain maps based on diffraction data
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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.
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Xiaowei Fu, Xiaowei Fu, Erik Knudsen, Erik Knudsen, Henning F. Poulsen, Henning F. Poulsen, Gabor T. Herman, Gabor T. Herman, Bruno M. Carvalho, Bruno M. Carvalho, Hstau Y. Liao, Hstau Y. Liao, } "Optimization of an algebraic reconstruction technique for generation of grain maps based on diffraction data", Proc. SPIE 5535, Developments in X-Ray Tomography IV, (26 October 2004); doi: 10.1117/12.559602; https://doi.org/10.1117/12.559602
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