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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">vestift</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Национальной академии наук Беларуси. Серия физико-технических наук</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the National Academy of Sciences of Belarus. Physical-technical series</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-8358</issn><issn pub-type="epub">2524-244X</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-8358-2021-66-4-505-512</article-id><article-id custom-type="elpub" pub-id-type="custom">vestift-707</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ И СИСТЕМЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFORMATION TECHNOLOGIES AND SYSTEMS</subject></subj-group></article-categories><title-group><article-title>Итерационная томография труб в процессе эксплуатации</article-title><trans-title-group xml:lang="en"><trans-title>Iterative tomography of pipes during operation</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1498-0658</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Золотарев</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Zolotarev</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Золотарев Сергей Алексеевич – доктор технических наук, главный научный сотрудник</p><p>ул. Академическая, 16, 220072, Минск, Республика Беларусь</p></bio><bio xml:lang="en"><p>Sergei A. Zolotarev – D. Sc. (Engineering), Chief Researcher</p><p>16, Akademicheskaya Str., 220072, Minsk, Republic of Belarus</p></bio><email xlink:type="simple">sergei.zolotarev@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5413-802X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Венгринович</surname><given-names>В. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Vengrinovich</surname><given-names>V. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Венгринович Валерий Львович – доктор технических наук, профессор заведующий лабораторией вычислительной диагностики</p><p>ул. Академическая, 16, 220072, Минск, Республика Беларусь</p></bio><bio xml:lang="en"><p>Valery L. Vengrinovich – D. Sc. (Engineering), Professor, Head of the Laboratory of Computing Diagnostics</p><p>16, Akademicheskaya Str., 220072, Minsk, Republic of Belarus</p></bio><email xlink:type="simple">veng@iaph.bas-net.by</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1879-8829</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Смагин</surname><given-names>С. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Smagin</surname><given-names>S. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Смагин Сергей Иванович – член-корреспондент Российской академии наук, доктор физико-математических наук, профессор, директор</p><p>ул. Ким Ю Чена, 65, 680000, Хабаровск, Российская Федерация</p></bio><bio xml:lang="en"><p>Sergei I. Smagin – Corresponding Member of the Russian Academy of Sciences, D. Sc. (Physics and Mathematics), Professor, Director</p><p>65, Kim Yu Chen Str., 680000, Khabarovsk, Russian Federation</p></bio><email xlink:type="simple">smagin@ccfebras.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт прикладной физики Национальной академии наук Беларуси Республики Беларусь</institution></aff><aff xml:lang="en"><institution>Institute of Applied Physics of the National Academy of Science of Belarus</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Вычислительный центр Дальневосточного отделения Российской академии наук</institution></aff><aff xml:lang="en"><institution>Computing Center of the Far Eastern Branch of the Russian Academy of Sciences</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>26</day><month>12</month><year>2021</year></pub-date><volume>66</volume><issue>4</issue><fpage>505</fpage><lpage>512</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Золотарев С.А., Венгринович В.Л., Смагин С.И., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Золотарев С.А., Венгринович В.Л., Смагин С.И.</copyright-holder><copyright-holder xml:lang="en">Zolotarev S.A., Vengrinovich V.L., Smagin S.I.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestift.belnauka.by/jour/article/view/707">https://vestift.belnauka.by/jour/article/view/707</self-uri><abstract><p>Проведена оценка толщины стенки трубы, исходя из трехмерных изображений трубы, восстановленных из нескольких рентгеновских проекций, которые были выполнены в ограниченном угле обзора. Поскольку эффекты рассеянного излучения и ужесточения лучей составляют до 50 % от основного излучения, их игнорирование приводит к размытию изображения и неточности при определении размеров. Для восстановления изображений труб из проекций применяются объемное и/или оболочечное представление трубы, а также итеративные байесовские методы. При использовании этих методов ошибка оценки толщины стенки трубы из проекционных данных может быть равной или меньше 300 мкм. Показано, что полученные рентгеновским излучением стандартные проекции на пленке или визуализирующих пластинах, применяемых для получения данных, могут использоваться для восстановления профилей толщин стенок труб в заводских условиях.</p></abstract><trans-abstract xml:lang="en"><p>The pipe wall thickness was estimated based on three-dimensional images of the pipe recovered from several X-ray projections, which were made in a limited angle of view. Since the effects of scattered radiation and beam hardening are up to 50 % of the main radiation, ignoring them leads to blur of the image and inaccuracy in determining dimensions. To restore pipe images from projections, a volume and/or shell representation of the pipe is used, as well as iterative Bayesian methods. Using these methods, the error in estimating the pipe wall thickness from the projection data can be equal to or less than 300 μm. It has been shown that standard X-ray projections on the film or imaging plates used to obtain data can be used to restore pipe wall thickness profiles in factory conditions.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>итерационные методы</kwd><kwd>реконструкция изображений</kwd><kwd>томография</kwd><kwd>обработка изображения</kwd><kwd>улучшение изображения</kwd><kwd>байесовский метод</kwd></kwd-group><kwd-group xml:lang="en"><kwd>iterative methods</kwd><kwd>image reconstruction</kwd><kwd>tomography</kwd><kwd>image processing</kwd><kwd>image enhancement</kwd><kwd>Bayesian method</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке Федерального министерства экономики и энергетики Германии и Национальной академии наук Беларуси. Исследования проводились с использованием ресурсов Центра коллективного пользования научным оборудованием «Центр обработки и хранения научных данных Дальневосточного отделения Российской академии наук», финансируемого Министерством науки и высшего образования Российской Федерации (проект № 075-15-2021-663).</funding-statement><funding-statement xml:lang="en">This work was funded by the Federal Ministry for Economic Affairs and Energy (Federal Republic of Germany) and the National Academy of Sciences of Belarus. This work was funded by the Federal Ministry of Economics of Germany and the National Academy of Sciences of Belarus. The studies were carried out using the resources of the Center for Shared Use of Scientific Equipment “Center for Processing and Storage of Scientific Data of the Far Eastern Branch of the Russian Academy of Sciences”, funded by the Ministry of Science and Higher Education of the Russian Federation (project No. 075-15-2021-663).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Vengrinovich V. L., Zolotarev S. A. Iterative Methods in Tomography. Minsk, Belaruskaya navuka Publ., 2009. 227 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">Vengrinovich V. L., Zolotarev S. A. Iterative Methods in Tomography. Minsk, Belaruskaya navuka Publ., 2009. 227 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Vengrinovich V. L., Denkevich J. 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