Optimization approach to the velocity field determining problem

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Optimization approach to the velocity field determining problem. / Котина, Елена Дмитриевна ; Овсянников, Дмитрий Александрович; Елизарова, Марина.

In: Cybernetics and Physics, Vol. 11, No. 3, 17.11.2022, p. 131-135.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{e0783c94d8624554ab8248cb349228ab,

title = "Optimization approach to the velocity field determining problem",

abstract = "A reconstruction of the velocity field is of current in-terest for different theoretical and practical problems. In the presented work the optimization method of the velocity field construction for successive images is developed and generalized using the concepts of trajectory beam (an ensemble of trajectories), a distribution density function (brightness), and a quality functional. A new formu-lation of the problem is proposed with the splitting of the initial image to subsets and taking into account a temporal variation. Analytical expressions of the variation and gradient of the investigated functional are given, allowing one to construct various directed optimization methods. The proposed approach can be used for determining the velocity field within different tasks, particularly, for the problems of diagnostic image processing.",

keywords = "Velocity field, functional variation, image processing, optical flow, optimization, quality functional, trajectory beam",

author = "Котина, {Елена Дмитриевна} and Овсянников, {Дмитрий Александрович} and Марина Елизарова",

year = "2022",

month = nov,

day = "17",

doi = "10.35470/2226-4116-2022-11-3-131-135",

language = "English",

volume = "11",

pages = "131--135",

journal = "Cybernetics and Physics",

issn = "2223-7038",

publisher = "IPACS",

number = "3",

}

RIS

TY - JOUR

T1 - Optimization approach to the velocity field determining problem

AU - Котина, Елена Дмитриевна

AU - Овсянников, Дмитрий Александрович

AU - Елизарова, Марина

PY - 2022/11/17

Y1 - 2022/11/17

N2 - A reconstruction of the velocity field is of current in-terest for different theoretical and practical problems. In the presented work the optimization method of the velocity field construction for successive images is developed and generalized using the concepts of trajectory beam (an ensemble of trajectories), a distribution density function (brightness), and a quality functional. A new formu-lation of the problem is proposed with the splitting of the initial image to subsets and taking into account a temporal variation. Analytical expressions of the variation and gradient of the investigated functional are given, allowing one to construct various directed optimization methods. The proposed approach can be used for determining the velocity field within different tasks, particularly, for the problems of diagnostic image processing.

AB - A reconstruction of the velocity field is of current in-terest for different theoretical and practical problems. In the presented work the optimization method of the velocity field construction for successive images is developed and generalized using the concepts of trajectory beam (an ensemble of trajectories), a distribution density function (brightness), and a quality functional. A new formu-lation of the problem is proposed with the splitting of the initial image to subsets and taking into account a temporal variation. Analytical expressions of the variation and gradient of the investigated functional are given, allowing one to construct various directed optimization methods. The proposed approach can be used for determining the velocity field within different tasks, particularly, for the problems of diagnostic image processing.

KW - Velocity field

KW - functional variation

KW - image processing

KW - optical flow

KW - optimization

KW - quality functional

KW - trajectory beam

UR - http://www.scopus.com/inward/record.url?scp=85142259723&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/91f995b2-268d-32b2-b5a2-d8527587a16e/

U2 - 10.35470/2226-4116-2022-11-3-131-135

DO - 10.35470/2226-4116-2022-11-3-131-135

M3 - Article

VL - 11

SP - 131

EP - 135

JO - Cybernetics and Physics

JF - Cybernetics and Physics

SN - 2223-7038

IS - 3

ER -

ID: 100333350