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Diffraction by image processing and its application in materials science

  • Joachim Ohser EMAIL logo , Katja Schladitz , Karsten Koch and Michael Nöthe
Published/Copyright: February 16, 2022
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 96 Issue 7

Abstract

A spectral theory for constituents of macroscopically homogeneous random microstructures is developed and provided with a sound mathematical basis, where the spectrum obtained by Fourier methods corresponds to the angular intensity distribution of X-rays scattered by this constituent. It is shown that the fast Fourier transform applied to three-dimensional images of microstructures obtained by micro-tomography is a powerful tool of image processing. The applicability of this technique is demonstrated in the analysis of images of porous media.

Keywords: X-ray computer tomography (XCT); Image analysis; Fourier transform; Porous media; Sinter material
Joachim Ohser Department of Mathematics University of Applied Sciences Schöfferstraße 3, D-64295 Darmstadt, Germany Tel.: +49 6151 16 8655 Fax: +49 6151 16 8957

Dedicated to Professor Dr.-Ing. habil. Dr. h. c. Heinrich Oettel on the occasion of his 65th birthday

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Received: 2004-10-18
Accepted: 2005-04-07
Published Online: 2022-02-16

© 2005 Carl Hanser Verlag, München

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https://doi.org/10.1515/ijmr-2005-0128
Keywords for this article
X-ray computer tomography (XCT); Image analysis; Fourier transform; Porous media; Sinter material

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. Heinrich Oettel – 65 Jahre
  4. Articles Basic
  5. Misorientations and geometrically necessary dislocations in deformed copper crystals: A microstructural analysis of X-ray rocking curves
  6. Microstructure and lattice defects in highly deformed metals by X-ray diffraction whole powder pattern modelling
  7. Magnetoplasticity
  8. Articles Applied
  9. Finite-element analysis of the hot-pressing consolidation of continuous Al2O3 fibers-reinforced NiAl composites
  10. Modelling the stress state of a thermal barrier coating system at high temperatures
  11. Impedance spectroscopy of thermal barrier coatings as non-destructive evaluation tool for failure detection
  12. Diffraction by image processing and its application in materials science
  13. On the preferred orientation in Ti1–xAlxN and Ti1–x–yAlxSiyN thin films
  14. Boron segregation and creep in ultra-fine grained tempered martensite ferritic steels
  15. Numeric simulation of the α/γ-phase ratio of ferritic-austenitic duplex steels
  16. Deformation behaviour and microscopic investigations of cyclically loaded railway wheels and tyres
  17. Similarity considerations on the simulation of turning processes of steels
  18. Crack-tip residual stresses and crack propagation in cyclically-loaded specimens under different loading modes
  19. On the effect of oxide scale stability on the internal nitridation process in high-temperature alloys
  20. Nitriding behaviour of the intermetallic alloy FeAl
  21. Material-related fundamentals of cutting techniques for GaAs wafer manufacturing
  22. Determination of RuAl phase boundaries in binary Ru–Al phase diagram at room temperature and 1200 °C
  23. On the Orowan stress in intermetallic ODS alloys and its superposition with grain size and solid solution hardening
  24. Effects of particle reinforcement on creep behaviour of AlSi1MgCu
  25. Effect of preaging on the precipitation behaviour of AlMgSi1
  26. Corrosion behaviour of hard coatings on Mg substrates
  27. Phase transformations in creep resistant MgYNdScMn alloy
  28. Notifications/Mitteilungen
  29. Personal/Personelles
  30. Press/Presse
  31. Conferences
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