Methods of statistical spatial filtering of images on the basis of a local group of transformations

V. A. Baranov, U. Ewert

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

New methods for processing images that are based on statistical estimates of the invariants of the groups of automorphism of images are considered. A group-theoretical statistical approach to the solution of image-reconstruction problems, which allows visualization of the structural and func- tional connections in a tested object, was developed. The proposed methods are applied to the solution of problems of the reconstruction of noisy images in nondestructive testing.

Original languageEnglish
Pages (from-to)123-128
Number of pages6
JournalRussian Journal of Nondestructive Testing
Volume48
Issue number2
DOIs
Publication statusPublished - Feb 2012

Keywords

  • Direct problem
  • Group-theoretical invariant
  • Ill-posed problem
  • Image pro-cessing
  • Image reconstruction
  • Inverse problem
  • Lie group
  • Mathematical model
  • Spatial filtering
  • Statistical hypothesis
  • Structural invari-ant
  • Transformation group

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics
  • Materials Science(all)

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