Title
Reconstruction of local orientation in grains using a discrete representation of orientation space
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Copenhagen ,
Subject
Chemistry
Source (journal)
Journal of applied crystallography / International Union of Crystallography. - Copenhagen
Volume/pages
47(2014) :6 , p. 1826-1840
ISSN
0021-8898
ISI
000345877900004
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
This work presents a mathematical framework for reconstruction of local orientations in grains based on near-field diffraction data acquired in X-ray diffraction contrast tomography or other variants of the monochromatic beam three-dimensional X-ray diffraction methodology. The problem of orientation reconstruction is formulated in terms of an optimization over a six-dimensional space X-6 = R-3 circle times O-3, constructed from the outer product of real and orientation space, and a strongly convergent first-order algorithm that makes use of modern l(1)-minimization techniques is provided, to cope with the increasing number of unknowns introduced by the six-dimensional formulation of the reconstruction problem. The performance of the new reconstruction algorithm is then assessed on synthetic data, for varying degrees of deformation, both in a restricted line-beam illumination and in the more challenging full-beam illumination. Finally, the algorithm's behavior when dealing with different kinds of noise is shown. The proposed framework, along the reconstruction algorithm, looks promising for application to real experimental data from materials exhibiting intra-granular orientation spread of up to a few degrees.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/f2d4af/9399.pdf
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