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@ARTICLE{Carlsen:613928,
      author       = {Carlsen, Mads and Malamud, Florencia and Modregger, Peter
                      and Wildeis, Anna and Hartmann, Markus and Brandt, Robert
                      and Menzel, Andreas and Liebi, Marianne},
      title        = {{T}exture tomography with high angular resolution utilizing
                      sparsity},
      reportid     = {PUBDB-2024-05707, arXiv:2407.11022},
      year         = {2024},
      abstract     = {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.},
      keywords     = {Materials Science (cond-mat.mtrl-sci) (Other) / Data
                      Analysis, Statistics and Probability (physics.data-an)
                      (Other) / FOS: Physical sciences (Other)},
      cin          = {FS-PETRA / DOOR ; HAS-User},
      cid          = {I:(DE-H253)FS-PETRA-20140814 /
                      I:(DE-H253)HAS-User-20120731},
      pnm          = {631 - Matter – Dynamics, Mechanisms and Control
                      (POF4-631) / 6G3 - PETRA III (DESY) (POF4-6G3) /
                      PSI-FELLOW-III-3i - International, Interdisciplinary $\&$
                      Intersectoral Postdoctoral Fellowships at the Paul Scherrer
                      Institut (884104)},
      pid          = {G:(DE-HGF)POF4-631 / G:(DE-HGF)POF4-6G3 /
                      G:(EU-Grant)884104},
      experiment   = {EXP:(DE-H253)P-P21.2-20150101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2407.11022},
      howpublished = {arXiv:2407.11022},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2407.11022;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/613928},
}