An efficient system matrix factorization method for scanning diffraction based strain tensor tomography
(2023) In Acta Crystallographica Section A: Foundations and Advances 79(Pt 6). p.542-549- Abstract
Diffraction-based tomographic strain tensor reconstruction problems in which a strain tensor field is determined from measurements made in different crystallographic directions are considered in the context of sparse matrix algebra. Previous work has shown that the estimation of the crystal elastic strain field can be cast as a linear regression problem featuring a computationally involved assembly of a system matrix forward operator. This operator models the perturbation in diffraction signal as a function of spatial strain tensor state. The structure of this system matrix is analysed and a block-partitioned factorization is derived that reveals the forward operator as a sum of weighted scalar projection operators. Moreover, the... (More)
Diffraction-based tomographic strain tensor reconstruction problems in which a strain tensor field is determined from measurements made in different crystallographic directions are considered in the context of sparse matrix algebra. Previous work has shown that the estimation of the crystal elastic strain field can be cast as a linear regression problem featuring a computationally involved assembly of a system matrix forward operator. This operator models the perturbation in diffraction signal as a function of spatial strain tensor state. The structure of this system matrix is analysed and a block-partitioned factorization is derived that reveals the forward operator as a sum of weighted scalar projection operators. Moreover, the factorization method is generalized for another diffraction model in which strain and orientation are coupled and can be reconstructed jointly. The proposed block-partitioned factorization method provides a bridge to classical absorption tomography and allows exploitation of standard tomographic ray-tracing libraries for implementation of the forward operator and its adjoint. Consequently, RAM-efficient, GPUaccelerated, on-the-fly strain/orientation tensor reconstruction is made possible, paving the way for higher spatial resolution studies of intragranular deformation.
(Less)
- author
- Henningsson, Axel LU and Hall, Stephen A. LU
- organization
- publishing date
- 2023-09-29
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- diffraction imaging, strain tensor, tomography, X-ray diffraction
- in
- Acta Crystallographica Section A: Foundations and Advances
- volume
- 79
- issue
- Pt 6
- pages
- 8 pages
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- pmid:37772493
- scopus:85176305886
- ISSN
- 2053-2733
- DOI
- 10.1107/S2053273323008136
- language
- English
- LU publication?
- yes
- id
- 31e2efae-60cf-45df-a9d8-33a6539be8d6
- date added to LUP
- 2024-01-08 09:39:15
- date last changed
- 2024-04-23 05:18:25
@article{31e2efae-60cf-45df-a9d8-33a6539be8d6,
abstract = {{<p>Diffraction-based tomographic strain tensor reconstruction problems in which a strain tensor field is determined from measurements made in different crystallographic directions are considered in the context of sparse matrix algebra. Previous work has shown that the estimation of the crystal elastic strain field can be cast as a linear regression problem featuring a computationally involved assembly of a system matrix forward operator. This operator models the perturbation in diffraction signal as a function of spatial strain tensor state. The structure of this system matrix is analysed and a block-partitioned factorization is derived that reveals the forward operator as a sum of weighted scalar projection operators. Moreover, the factorization method is generalized for another diffraction model in which strain and orientation are coupled and can be reconstructed jointly. The proposed block-partitioned factorization method provides a bridge to classical absorption tomography and allows exploitation of standard tomographic ray-tracing libraries for implementation of the forward operator and its adjoint. Consequently, RAM-efficient, GPUaccelerated, on-the-fly strain/orientation tensor reconstruction is made possible, paving the way for higher spatial resolution studies of intragranular deformation.</p>}},
author = {{Henningsson, Axel and Hall, Stephen A.}},
issn = {{2053-2733}},
keywords = {{diffraction imaging; strain tensor; tomography; X-ray diffraction}},
language = {{eng}},
month = {{09}},
number = {{Pt 6}},
pages = {{542--549}},
publisher = {{John Wiley & Sons Inc.}},
series = {{Acta Crystallographica Section A: Foundations and Advances}},
title = {{An efficient system matrix factorization method for scanning diffraction based strain tensor tomography}},
url = {{http://dx.doi.org/10.1107/S2053273323008136}},
doi = {{10.1107/S2053273323008136}},
volume = {{79}},
year = {{2023}},
}