Quasi-tomographic visualization of crack-formation zones using radiographic projections

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	https://doi.org/10.1134/S1061830912040031
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)

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10.1134/S1061830912040031

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title = "Quasi-tomographic visualization of crack-formation zones using radiographic projections",

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.",

keywords = "Curie principle, Ill-posed problem, Image processing, Inverse problem, Lie group, Spatial filtering, Statistical hypothesis, Structural invariant",

author = "Baranov, {V. A.} and U. Ewert and B. Redmer and Kroening, {Hans Michael}",

year = "2012",

month = apr,

doi = "10.1134/S1061830912040031",

language = "English",

volume = "48",

pages = "245--249",

journal = "Russian Journal of Nondestructive Testing",

issn = "1061-8309",

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AU - Baranov, V. A.

AU - Ewert, U.

AU - Redmer, B.

AU - Kroening, Hans Michael

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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

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JO - Russian Journal of Nondestructive Testing

JF - Russian Journal of Nondestructive Testing

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