Abstract
The possibility of tomographic reconstruction of a crack-formation zone was investigated. Methods for structurally oriented filtering of projections with a local SO (2) group were developed. A sharply ill-posed problem of the reconstruction of a crack-formation zone was regularized on the basis of the assumption that the angular distributions of microcracks are spatially uniform. Methods for reconstructing spatial distributions of microcracks were proposed.
Original language | English |
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Pages (from-to) | 245-249 |
Number of pages | 5 |
Journal | Russian Journal of Nondestructive Testing |
Volume | 48 |
Issue number | 4 |
DOIs | |
Publication status | Published - Apr 2012 |
Keywords
- Curie principle
- Ill-posed problem
- Image processing
- Inverse problem
- Lie group
- Spatial filtering
- Statistical hypothesis
- Structural invariant
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
- Materials Science(all)