Optimization approach to the velocity field determining problem

Q3 Physics and Astronomy
E. Kotina, D. Ovsyannikov, M. Elizarova
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引用次数: 0

Abstract

A reconstruction of the velocity field is of current interest 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 formulation 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.
速度场确定问题的优化方法
速度场的重建是当前不同理论和实际问题的兴趣所在。本文利用轨迹束(轨迹集合)、分布密度函数(亮度)和质量泛函的概念,提出并推广了连续图像速度场构建的优化方法。提出了将初始图像分割为多个子集并考虑时间变化的问题的新公式。给出了所研究泛函的变分和梯度的解析表达式,从而可以构造各种定向优化方法。该方法可用于确定不同任务中的速度场,尤其适用于诊断图像处理问题。
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来源期刊
Cybernetics and Physics
Cybernetics and Physics Chemical Engineering-Fluid Flow and Transfer Processes
CiteScore
1.70
自引率
0.00%
发文量
17
审稿时长
10 weeks
期刊介绍: The scope of the journal includes: -Nonlinear dynamics and control -Complexity and self-organization -Control of oscillations -Control of chaos and bifurcations -Control in thermodynamics -Control of flows and turbulence -Information Physics -Cyber-physical systems -Modeling and identification of physical systems -Quantum information and control -Analysis and control of complex networks -Synchronization of systems and networks -Control of mechanical and micromechanical systems -Dynamics and control of plasma, beams, lasers, nanostructures -Applications of cybernetic methods in chemistry, biology, other natural sciences The papers in cybernetics with physical flavor as well as the papers in physics with cybernetic flavor are welcome. Cybernetics is assumed to include, in addition to control, such areas as estimation, filtering, optimization, identification, information theory, pattern recognition and other related areas.
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