Texture tomography with high angular resolution utilizing sparsity
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918348450693120 |
|---|---|
| author | Carlsen, Mads Malamud, Florencia Modregger, Peter Wildeis, Anna Hartmann, Markus Brandt, Robert Menzel, Andreas Liebi, Marianne |
| author_facet | Carlsen, Mads Malamud, Florencia Modregger, Peter Wildeis, Anna Hartmann, Markus Brandt, Robert Menzel, Andreas Liebi, Marianne |
| contents | We demonstrate a novel approach to the reconstruction of scanning probe x-ray diffraction tomography data with anisotropic poly crystalline samples. The method involves reconstructing a voxel map containing an orientation distribution function in each voxel of an extended 3D sample. This method differs from existing approaches by not relying on a peak-finding and is therefore applicable to sample systems consisting of small and highly mosaic crystalline domains that are not handled well by existing methods. Samples of interest include bio-minerals and a range of small-graines microstructures common in engineering metals. By choosing a particular kind of basis functions, we can effectively utilize non-negativity in orientation-space for samples with sparse texture. This enables us to achieve stable solutions at high angular resolutions where the problem would otherwise be under determined. We demonstrate the new approach using data from a shot peened martensite sample where we are able to map the twinning micro structure in the interior of a bulk sample without resolving the individual lattice domains. We also demonstrate the approach on a piece of gastropods shell with a mosaic micro structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11022 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Texture tomography with high angular resolution utilizing sparsity Carlsen, Mads Malamud, Florencia Modregger, Peter Wildeis, Anna Hartmann, Markus Brandt, Robert Menzel, Andreas Liebi, Marianne Materials Science Data Analysis, Statistics and Probability We demonstrate a novel approach to the reconstruction of scanning probe x-ray diffraction tomography data with anisotropic poly crystalline samples. The method involves reconstructing a voxel map containing an orientation distribution function in each voxel of an extended 3D sample. This method differs from existing approaches by not relying on a peak-finding and is therefore applicable to sample systems consisting of small and highly mosaic crystalline domains that are not handled well by existing methods. Samples of interest include bio-minerals and a range of small-graines microstructures common in engineering metals. By choosing a particular kind of basis functions, we can effectively utilize non-negativity in orientation-space for samples with sparse texture. This enables us to achieve stable solutions at high angular resolutions where the problem would otherwise be under determined. We demonstrate the new approach using data from a shot peened martensite sample where we are able to map the twinning micro structure in the interior of a bulk sample without resolving the individual lattice domains. We also demonstrate the approach on a piece of gastropods shell with a mosaic micro structure. |
| title | Texture tomography with high angular resolution utilizing sparsity |
| topic | Materials Science Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2407.11022 |