This article is cited in 2 papers

Dynamic systems and optimal control

Displacement field construction based on a discrete model in image processing problems

Elena D. Kotina, Ekaterina B. Leonova, Viktor A. Ploskikh

Saint-Petersburg State University, Saint-Petersburg, Russian Federation

Abstract: The problem of a displacement field calculation for an image sequence based on a discrete model is being solved. Algorithms for velocity field (displacement field) construction are in demand in various image processing tasks. These methods are used in motion detection, object movement tracking, analysis of complex images, movement correction of medical diagnostic images in nuclear medicine, radiology, etc. An optimization approach to the displacement field construction based on a discrete model is developed in the paper. The approach explores the possibility of taking into account the brightness change along the trajectories of the system. A linear model is considered. Directed optimization methods based on the analytical representation of the functional gradient are constructed to search for unknown parameters. The algorithm for displacement field construction with image partitioning into regions (neighborhoods) is proposed. This algorithm can be used to process a variety of image sequences. The results of the algorithm operation on test radionuclide images are presented.

Keywords: discrete systems, displacement field, functional variation, optimization, image processing.

UDC: 519.6

MSC: 65K10

Received: 10.01.2021
Revised: 14.02.2022
Accepted: 21.02.2022

Language: English

DOI: 10.26516/1997-7670.2022.39.3

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