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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| Author: | J. Ohser, K. Schladitz, K. Koch, N. Nöthe |
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| URN: | urn:nbn:de:hbz:386-kluedo-13542 |
| Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (67) |
| Document Type: | Report |
| Language of publication: | English |
| Year of Completion: | 2004 |
| Year of first Publication: | 2004 |
| Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
| Date of the Publication (Server): | 2004/11/29 |
| Tag: | Bartlett spectrum; fast Fourier transform; image analysis; porous microstructure; power spectrum; random set |
| Faculties / Organisational entities: | Fraunhofer (ITWM) |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |