The statistical group-theoretical method for treatment of the notion of defect

V. A. Baranov, U. Ewert

Research output: Contribution to journalArticle


A group-theoretical approach to the interpretation of the "flaw" concept is proposed based on statistical structure-oriented methods of spatial filtering of images developed by the authors. The local Lee group in the theoretical-group filters was used as an instrument for determining the structural norm of inspection. Methods for the recognition of anomalous structural-functional relationships in the test object and the formation of its defectivity map are considered.

Original languageEnglish
Pages (from-to)707-709
Number of pages3
JournalRussian Journal of Nondestructive Testing
Issue number10
Publication statusPublished - Oct 2011



  • Image processing
  • Lee 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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