Symmetrical aspects of the causality principle in statistical group-theoretical image-reconstruction methods

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	https://doi.org/10.1134/S1061830912030023
Publication status	Published - Mar 2012

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)

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10.1134/S1061830912030023

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Baranov, V. A., & Ewertb, U. (2012). Symmetrical aspects of the causality principle in statistical group-theoretical image-reconstruction methods. Russian Journal of Nondestructive Testing, 48(3), 187-190. https://doi.org/10.1134/S1061830912030023

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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.",

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

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