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.

Original languageEnglish
Pages (from-to)131-135
Number of pages5
JournalCybernetics and Physics
Volume11
Issue number3
DOIs
StatePublished - 17 Nov 2022

    Scopus subject areas

  • Control and Optimization
  • Artificial Intelligence
  • Signal Processing
  • Fluid Flow and Transfer Processes
  • Computer Vision and Pattern Recognition
  • Physics and Astronomy (miscellaneous)

    Research areas

  • Velocity field, functional variation, image processing, optical flow, optimization, quality functional, trajectory beam

ID: 100333350