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)

Access to Document

10.1134/S1061830912030023

Fingerprint Dive into the research topics of 'Symmetrical aspects of the causality principle in statistical group-theoretical image-reconstruction methods'. Together they form a unique fingerprint.

Cite this

@article{4551fb9d6e9048a2b653e00f6b879cef,

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",

}

TY - JOUR

T1 - Symmetrical aspects of the causality principle in statistical group-theoretical image-reconstruction methods

AU - Baranov, V. A.

AU - Ewertb, U.

PY - 2012/3

Y1 - 2012/3

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84863658182&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863658182&partnerID=8YFLogxK

U2 - 10.1134/S1061830912030023

DO - 10.1134/S1061830912030023

M3 - Article

AN - SCOPUS:84863658182

VL - 48

SP - 187

EP - 190

JO - Russian Journal of Nondestructive Testing

JF - Russian Journal of Nondestructive Testing

SN - 1061-8309

IS - 3