Journal article
Reconstruction of Single-Grain Orientation Distribution Functions for Crystalline Materials
Scientific Computing, Department of Informatics and Mathematical Modeling, Technical University of Denmark1
Department of Informatics and Mathematical Modeling, Technical University of Denmark2
Metal Structures in Four Dimensions, Materials Research Division, Risø National Laboratory for Sustainable Energy, Technical University of Denmark3
Materials Research Division, Risø National Laboratory for Sustainable Energy, Technical University of Denmark4
Risø National Laboratory for Sustainable Energy, Technical University of Denmark5
A fundamental imaging problem in microstructural analysis of metals is the reconstruction of local crystallographic orientations from X-ray diffraction measurements. This work develops a fast, accurate, and robust method for the computation of the three-dimensional orientation distribution function for individual grains of the material in consideration.
We study two iterative large-scale reconstruction algorithms, the algebraic reconstruction technique (ART) and conjugate gradients for least squares (CGLS), and demonstrate that right preconditioning is necessary in both algorithms to provide satisfactory reconstructions. Our right preconditioner is not a traditional one that accelerates convergence; its purpose is to modify the smoothness properties of the reconstruction.
We also show that a new stopping criterion, based on the information available in the residual vector, provides a robust choice of the number of iterations for these preconditioned methods.
Language: | English |
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Publisher: | Society for Industrial & Applied Mathematics (SIAM) |
Year: | 2009 |
Pages: | 593-613 |
ISSN: | 19364954 |
Types: | Journal article |
DOI: | 10.1137/080726021 |
ORCIDs: | Hansen, Per Christian , Sørensen, Henning Osholm and Poulsen, Henning Friis |
Materialekarakterisering og materialemodellering Materials characterization and modelling materials science orientation distribution function, polycrystals preconditioning regularizing iterations stopping criterion