The digital image processing problem basing on velocity field determination is considered. An optimization method for constructing the velocity field basing on the study of the integral functional on the ensemble of trajectories is developed. The analytical form of functional variation allows using directed optimization methods to find the desired parameters. This method is considered for 3D tomographic image processing, in particular, for PET images for the movement correction in dynamic studies.
Original languageEnglish
Title of host publicationStability and Control Processes
PublisherSpringer Nature
Pages723-729
Number of pages7
ISBN (Electronic)978-3-030-87966-2
ISBN (Print)978-3-030-87965-5, 978-3-030-87968-6
DOIs
StatePublished - 2022
EventStability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov: Dedicated to the Memory of Professor Vladimir Zubov - Санкт-Петербургский Государственный Университет, Saint Petersburg, Russian Federation
Duration: 5 Oct 20209 Oct 2020
Conference number: 4
http://www.apmath.spbu.ru/scp2020/
http://www.apmath.spbu.ru/scp2020/ru/main/
http://www.apmath.spbu.ru/scp2020/eng/program/#schedule
https://link.springer.com/conference/scp

Publication series

NameLecture Notes in Control and Information Sciences - Proceedings
PublisherSpringer Nature
ISSN (Print)2522-5383
ISSN (Electronic)2522-5391

Conference

ConferenceStability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov
Abbreviated titleSCP2020
Country/TerritoryRussian Federation
CitySaint Petersburg
Period5/10/209/10/20
Internet address

ID: 93511942