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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">ntv</journal-id><journal-title-group><journal-title xml:lang="ru">Научно-технический вестник информационных технологий, механики и оптики</journal-title><trans-title-group xml:lang="en"><trans-title>Scientific and Technical Journal of Information Technologies, Mechanics and Optics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-1494</issn><issn pub-type="epub">2500-0373</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2226-1494-2026-26-4-835-843</article-id><article-id custom-type="elpub" pub-id-type="custom">ntv-651</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>КОМПЬЮТЕРНЫЕ СИСТЕМЫ И ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>COMPUTER SCIENCE</subject></subj-group></article-categories><title-group><article-title>Метод фильтрации контуров трехмерных изображений в задачах геологического моделирования пласта</article-title><trans-title-group xml:lang="en"><trans-title>Method of contours filtering for three-dimensional images in problems of reservoir geological modeling</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-5246-3713</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Литвинов</surname><given-names>П. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Litvinov</surname><given-names>P. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Литвинов Павел Александрович — аспирант</p><p>sc 59867479700</p><p>Санкт-Петербург, 197101</p></bio><bio xml:lang="en"><p>Pavel A. Litvinov — PhD Student</p><p>sc 59867479700</p><p>Saint Petersburg, 197101</p></bio><email xlink:type="simple">bessmertny@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6711-6399</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бессмертный</surname><given-names>И. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Bessmertny</surname><given-names>I. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Бессмертный Игорь Александрович — доктор технических наук, профессор</p><p>sc 36661767800</p><p>Санкт-Петербург, 197101</p></bio><bio xml:lang="en"><p>Igor A. Bessmertny — D.Sc., Full Professor</p><p>sc 36661767800</p><p>Saint Petersburg, 197101</p></bio><email xlink:type="simple">bessmertny@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>27</day><month>08</month><year>2026</year></pub-date><volume>26</volume><issue>4</issue><fpage>835</fpage><lpage>843</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Литвинов П.А., Бессмертный И.А., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Литвинов П.А., Бессмертный И.А.</copyright-holder><copyright-holder xml:lang="en">Litvinov P.A., Bessmertny I.A.</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://ntv.elpub.ru/jour/article/view/651">https://ntv.elpub.ru/jour/article/view/651</self-uri><abstract><p>Введение. Исследованы методы фильтрации контуров трехмерных объектов в задачах геологического моделирования пласта с целью повышения эффективности анализа ресурсной базы. Решение поставленной задачи достигается путем применения математических аппаратов контурлет-преобразования, диффузии и контурного анализа для фильтрации контуров трехмерных изображений. Предлагаемый метод сочетает в себе преимущества многомасштабности и многонаправленности, учет локальной ориентации структур. Метод. Решение задачи фильтрации трехмерных изображений достигается путем комбинации математических методов для анализа трехмерного изображения. Сущность предлагаемого подхода состоит в применении непрореживающего контурлет-преобразования, анизотропной диффузии, управляемой структурным тензором и последующей локализации одновоксельных контуров за счет подавления немаксимумов и двойной пороговой фильтрации по гистерезису. Результатом фильтрации является отфильтрованное трехмерное изображение с толщиной контура в один воксел. Основные результаты. Предлагаемый метод показал удовлетворительные результаты работы на тестовых данных. Качество фильтрации контуров позволяет использовать предложенный метод для последующей идентификации контуров в трехмерных объектах. Обсуждение. Выполнено сравнение разработанного метода с трехмерными градиентными фильтрами, преобразованием Фурье и дискретным вейвлет-преобразованием. Метод применим в тех задачах, где создаваемая непрореживающим контурлетпреобразованием избыточность не оказывает существенного влияния на конечную цель. Областью развития метода видится учет специфики разных видов исследований, на основании которых создается трехмерная модель.</p></abstract><trans-abstract xml:lang="en"><p>Filtering methods for three-dimensional object contours in reservoir geological modeling problems are investigated to improve the efficiency of resource base analysis. The problem is solved by applying the mathematical methods of the contourlet transform, diffusion, and contour analysis to filtering the contours of three-dimensional images. The proposed method combines the advantages of multi-scale and multi-directionality, taking into account the local orientation of structures. The problem of three-dimensional images filtering is solved by combining mathematical methods for analyzing three-dimensional images. The essence of the proposed approach consists of using a non-subsampled contourlet transform, anisotropic diffusion controlled by a structural tensor, and subsequent localization of single-voxel contours by suppressing non-maxima and double threshold filtering based on hysteresis. The filtering result is a filtered three-dimensional image with a contour thickness of one voxel. The proposed method showed satisfactory results on test data. The quality of contour filtering allows using the proposed method for subsequent contour identification in three-dimensional objects. The proposed method was compared with three-dimensional gradient filters, the Fourier transform, and the discrete wavelet transform. The method is applicable to problems where the redundancy created by the non-subsampled contourlet transform does not significantly affect the final goal. Further development of the method is seen as taking into account the specifics of the various types of research on the basis of which a three-dimensional model is created.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>фильтрация контуров трехмерных изображений</kwd><kwd>непрореживающее контурлет-преобразование (NSCT)</kwd><kwd>анизотропная диффузия</kwd><kwd>геологическое моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>3D image edge filtering</kwd><kwd>non-subsampled contourlet transform (NSCT)</kwd><kwd>anisotropic diffusion</kwd><kwd>geological modeling</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Литвинов П.А., Бессмертный И.А. Поиск трехмерных изображений методом сравнения контуров в задачах геологического моделирования пласта // Научно-технический вестник информационных технологий, механики и оптики. 2025. Т. 25, № 2. 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