Application of pso for solving problems of invariant comparison of two-dimensional closed curve

The problem of estimating the norm of the distance between the two closed smooth curves for pattern recognition is considered. Diffeomorphic transformation curves based on the model of large deformations is described. For estimating of the norm of the distance between two closed curves is formed the...

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Main Authors: Dmitry Borisovich Abramov, Sergey Olegovich Baranov, Sergey Vladimirovich Leykhter
Format: Article
Language:Russian
Published: Siberian State Automobile and Highway University 2017-08-01
Series:Вестник СибАДИ
Subjects:
Online Access:https://vestnik.sibadi.org/jour/article/view/385
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author Dmitry Borisovich Abramov
Sergey Olegovich Baranov
Sergey Vladimirovich Leykhter
author_facet Dmitry Borisovich Abramov
Sergey Olegovich Baranov
Sergey Vladimirovich Leykhter
author_sort Dmitry Borisovich Abramov
collection DOAJ
description The problem of estimating the norm of the distance between the two closed smooth curves for pattern recognition is considered. Diffeomorphic transformation curves based on the model of large deformations is described. For estimating of the norm of the distance between two closed curves is formed the functional corresponding normalized distance between the two curves, and the equation of evolution diffeomorphic transformations. An algorithm for solving the equation of diffeomorphic transformation is proposed, built on the basis of PSO, which can significantly reduce the number of computing operations, compared with gradient methods for solving. The developed algorithms can be used in bioinformatics and biometrics systems, classification of images and objects, machine vision systems, for pattern recognition and object tracking systems.
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institution Matheson Library
issn 2071-7296
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publishDate 2017-08-01
publisher Siberian State Automobile and Highway University
record_format Article
series Вестник СибАДИ
spelling doaj-art-a9bce5b39e3e48d9ba18765f3477b9e52025-08-04T10:17:42ZrusSiberian State Automobile and Highway UniversityВестник СибАДИ2071-72962658-56262017-08-0105(51)14515110.26518/2071-7296-2016-5(51)-145-151381Application of pso for solving problems of invariant comparison of two-dimensional closed curveDmitry Borisovich Abramov0Sergey Olegovich Baranov1Sergey Vladimirovich Leykhter2State Automobile and Highway Academy "SibADI"State Automobile and Highway Academy "SibADI"State Automobile and Highway Academy "SibADI"The problem of estimating the norm of the distance between the two closed smooth curves for pattern recognition is considered. Diffeomorphic transformation curves based on the model of large deformations is described. For estimating of the norm of the distance between two closed curves is formed the functional corresponding normalized distance between the two curves, and the equation of evolution diffeomorphic transformations. An algorithm for solving the equation of diffeomorphic transformation is proposed, built on the basis of PSO, which can significantly reduce the number of computing operations, compared with gradient methods for solving. The developed algorithms can be used in bioinformatics and biometrics systems, classification of images and objects, machine vision systems, for pattern recognition and object tracking systems.https://vestnik.sibadi.org/jour/article/view/385распознавание образовмашинное зрениеинвариантностьдиффеоморфные преобразованиябиоинформатикаметод pso
spellingShingle Dmitry Borisovich Abramov
Sergey Olegovich Baranov
Sergey Vladimirovich Leykhter
Application of pso for solving problems of invariant comparison of two-dimensional closed curve
Вестник СибАДИ
распознавание образов
машинное зрение
инвариантность
диффеоморфные преобразования
биоинформатика
метод pso
title Application of pso for solving problems of invariant comparison of two-dimensional closed curve
title_full Application of pso for solving problems of invariant comparison of two-dimensional closed curve
title_fullStr Application of pso for solving problems of invariant comparison of two-dimensional closed curve
title_full_unstemmed Application of pso for solving problems of invariant comparison of two-dimensional closed curve
title_short Application of pso for solving problems of invariant comparison of two-dimensional closed curve
title_sort application of pso for solving problems of invariant comparison of two dimensional closed curve
topic распознавание образов
машинное зрение
инвариантность
диффеоморфные преобразования
биоинформатика
метод pso
url https://vestnik.sibadi.org/jour/article/view/385
work_keys_str_mv AT dmitryborisovichabramov applicationofpsoforsolvingproblemsofinvariantcomparisonoftwodimensionalclosedcurve
AT sergeyolegovichbaranov applicationofpsoforsolvingproblemsofinvariantcomparisonoftwodimensionalclosedcurve
AT sergeyvladimirovichleykhter applicationofpsoforsolvingproblemsofinvariantcomparisonoftwodimensionalclosedcurve