Abstract
New image processing methods that are based on statistical estimates of the invariants of image automorphism groups are considered. The cause-and-effect relationships during the pro- cessing of images in group-theoretical filters are investigated. The Curie principle is used to ana- lyze the formation of images in spatial filtering algorithms with a local group.
| Original language | English |
|---|---|
| Pages (from-to) | 187-190 |
| Number of pages | 4 |
| Journal | Russian Journal of Nondestructive Testing |
| Volume | 48 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2012 |
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Keywords
- Curie principle
- Ill-posed problem
- Image processing
- Inverse problem
- Lie group
- Spatial filtering
- Statis-tical hypothesis
- Structural invariant
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
- Materials Science(all)
Cite this
Symmetrical aspects of the causality principle in statistical group-theoretical image-reconstruction methods. / Baranov, V. A.; Ewertb, U.
In: Russian Journal of Nondestructive Testing, Vol. 48, No. 3, 03.2012, p. 187-190.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Symmetrical aspects of the causality principle in statistical group-theoretical image-reconstruction methods
AU - Baranov, V. A.
AU - Ewertb, U.
PY - 2012/3
Y1 - 2012/3
N2 - New image processing methods that are based on statistical estimates of the invariants of image automorphism groups are considered. The cause-and-effect relationships during the pro- cessing of images in group-theoretical filters are investigated. The Curie principle is used to ana- lyze the formation of images in spatial filtering algorithms with a local group.
AB - New image processing methods that are based on statistical estimates of the invariants of image automorphism groups are considered. The cause-and-effect relationships during the pro- cessing of images in group-theoretical filters are investigated. The Curie principle is used to ana- lyze the formation of images in spatial filtering algorithms with a local group.
KW - Curie principle
KW - Ill-posed problem
KW - Image processing
KW - Inverse problem
KW - Lie group
KW - Spatial filtering
KW - Statis-tical hypothesis
KW - Structural invariant
UR - http://www.scopus.com/inward/record.url?scp=84863658182&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84863658182&partnerID=8YFLogxK
U2 - 10.1134/S1061830912030023
DO - 10.1134/S1061830912030023
M3 - Article
VL - 48
SP - 187
EP - 190
JO - Russian Journal of Nondestructive Testing
JF - Russian Journal of Nondestructive Testing
SN - 1061-8309
IS - 3
ER -