Publication
Title
Reconstruction of local orientation in grains using a discrete representation of orientation space
Author
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.
Language
English
Source (journal)
Journal of applied crystallography / International Union of Crystallography. - Copenhagen
Publication
Copenhagen : 2014
ISSN
0021-8898
Volume/pages
47:6(2014), p. 1826-1840
ISI
000345877900004
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 06.02.2015
Last edited 16.07.2017
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