Journal article
A greedy method for reconstructing polycrystals from three-dimensional X-ray diffraction data
Risø National Laboratory for Sustainable Energy, Technical University of Denmark1
Metal Structures in Four Dimensions, Materials Research Division, Risø National Laboratory for Sustainable Energy, Technical University of Denmark2
Materials Research Division, Risø National Laboratory for Sustainable Energy, Technical University of Denmark3
City College of New York4
Nano-Microstructures in Materials, Materials Research Division, Risø National Laboratory for Sustainable Energy, Technical University of Denmark5
An iterative search method is proposed for obtaining orientation maps inside polycrystals from three-dimensional X-ray diffraction (3DXRD) data. In each step, detector pixel intensities are calculated by a forward model based on the current estimate of the orientation map. The pixel at which the experimentally measured value most exceeds the simulated one is identified.
This difference can only be reduced by changing the current estimate at a location from a relatively small subset of all possible locations in the estimate and, at each such location, an increase at the identified pixel can only be achieved by changing the orientation in only a few possible ways. The method selects the location/orientation pair indicated as best by a function that measures data consistency combined with prior information on orientation maps.
The superiority of the method to a previously published forward projection Monte Carlo optimization is demonstrated on simulated data.
Language: | English |
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Year: | 2009 |
Pages: | 69-85 |
ISSN: | 19308345 and 19308337 |
Types: | Journal article |
DOI: | 10.3934/ipi.2009.3.69 |
ORCIDs: | Knudsen, Erik and Poulsen, Henning Friis |
Materialeforskning Materialekarakterisering og materialemodellering Materials characterization and modelling Materials research
3DXRD Discrete Inverse Problem Grain Map Reconstruction Tomography X-Ray Diffraction