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 |
|---|---|
| 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 |
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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)
Cite this
Quasi-tomographic visualization of crack-formation zones using radiographic projections. / Baranov, V. A.; Ewert, U.; Redmer, B.; Kroening, Hans Michael.
In: Russian Journal of Nondestructive Testing, Vol. 48, No. 4, 04.2012, p. 245-249.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quasi-tomographic visualization of crack-formation zones using radiographic projections
AU - Baranov, V. A.
AU - Ewert, U.
AU - Redmer, B.
AU - Kroening, Hans Michael
PY - 2012/4
Y1 - 2012/4
N2 - 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.
AB - 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.
KW - Curie principle
KW - Ill-posed problem
KW - Image processing
KW - Inverse problem
KW - Lie group
KW - Spatial filtering
KW - Statistical hypothesis
KW - Structural invariant
UR - http://www.scopus.com/inward/record.url?scp=84865486568&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84865486568&partnerID=8YFLogxK
U2 - 10.1134/S1061830912040031
DO - 10.1134/S1061830912040031
M3 - Article
AN - SCOPUS:84865486568
VL - 48
SP - 245
EP - 249
JO - Russian Journal of Nondestructive Testing
JF - Russian Journal of Nondestructive Testing
SN - 1061-8309
IS - 4
ER -