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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title = "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.",

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

author = "Baranov, {V. A.} and U. Ewertb",

year = "2012",

month = mar,

doi = "10.1134/S1061830912030023",

language = "English",

volume = "48",

pages = "187--190",

journal = "Russian Journal of Nondestructive Testing",

issn = "1061-8309",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

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AU - Ewertb, U.

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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

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