## Diffraction by image processing and its application in materials science

• A spectral theory for constituents of macroscopically homogeneous random microstructures modeled as homogeneous random closed sets 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 is demonstrated in the analysis of images of porous media.

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Verfasserangaben: J. Ohser, K. Schladitz, K. Koch, N. Nöthe urn:nbn:de:hbz:386-kluedo-13542 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (67) Bericht Englisch 2004 2004 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 29.11.2004 Bartlett spectrum; fast Fourier transform; image analysis; porous microstructure; power spectrum; random set Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$