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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">10.17586/2226-1494-2025-25-1-78-86</article-id><article-id custom-type="elpub" pub-id-type="custom">ntv-423</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>Алгоритм сглаживания цифровых изображений на основе дисперсии направлений</article-title><trans-title-group xml:lang="en"><trans-title>Directional variance-based algorithm for digital image smoothing</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3630-2134</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Зохаир</surname><given-names>Аль-Амин</given-names></name><name name-style="western" xml:lang="en"><surname>Zohair</surname><given-names>Al-Ameen</given-names></name></name-alternatives><bio xml:lang="ru"><p>Зохаир Аль-Амин — PhD (компьютерные технологии), доцент, исследователь</p><p>Мосул, 41002</p></bio><bio xml:lang="en"><p>Zohair Al-Ameen — PhD (Computer Science), Associate Professor, Researcher</p><p>Mosul, 41002</p></bio><email xlink:type="simple">qizohair@uomosul.edu.iq</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Отделение информационных технологий Университета Мосула</institution><country>Ирак</country></aff><aff xml:lang="en"><institution>ICT Research Unit, University of Mosul</institution><country>Iraq</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>28</day><month>02</month><year>2025</year></pub-date><volume>25</volume><issue>1</issue><fpage>78</fpage><lpage>86</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Зохаир А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Зохаир А.</copyright-holder><copyright-holder xml:lang="en">Zohair 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/423">https://ntv.elpub.ru/jour/article/view/423</self-uri><abstract><p>Технология сглаживания изображений применяется при обработке изображений. Использование данной технологии ослабляет текстуру и ненужные высокочастотные компоненты, обеспечивает получение гладкого изображения с сохраненной структурой для облегчения последующих операций корректировки или анализа. Получение сглаженных изображений требуется во многих приложениях при обработке, например, High Dynamic Range изображений, при усилении деталей, повышении резкости, обнаружении краев, стилизации, абстракции и т. д. При этом, не все существующие методы сглаживания изображений успешно справляются с поставленной задачей. В результате могут возникнуть нежелательные проблемы, такие как удаление существенных деталей, введение чрезмерного размытия, дефекты обработки, ореолы и другие артефакты. В работе представлен новый алгоритм, который эффективно сглаживает изображение. Алгоритм основан на концепции направленных дисперсий (Directional Variances, DV) для минимизации энергии и получения баланса между сохранением структуры и гладкостью. С помощью концепции DV представленный алгоритм итеративно сглаживает изображение, диффузии, осуществляет регуляризацию и минимизацию энергии. Выполненная оценка полученных результатов на различных изображениях показала эффективность разработанного алгоритма. Алгоритм на основе DV обладает превосходными возможностями сглаживания изображений, сохраняя при этом структурные детали, что делает его ценным инструментом для приложений, применяемых в области цифровой обработки изображений.</p></abstract><trans-abstract xml:lang="en"><p>Image smoothing is vital in image processing as it attenuates the texture and unnecessary high-frequency components and provides a smooth image with a preserved structure to facilitate subsequent operations or analysis. Smoothed images are required in many image processing applications, such as details boost, sharpening, High Dynamic Range imaging, edge detection, stylization, abstraction, etc. Still, not all existing smoothing methods are successful in this task, as some undesirable problems may be introduced, such as removing significant details, introducing excessive blurring, processing flaws, halos, and other artifacts. Thus, the opportunity still stands to provide a new algorithm that smooths an image efficiently. This study concisely explores smoothing via the Directional Variances (DV) concept. The proposed algorithm leverages the DV concept to minimize energy, seeking a balance between essential structural preservation and smoothness. The proposed algorithm iteratively smooths the image using DV, diffusion, regularization, and energy minimization. A thorough evaluation is conducted on diverse images, showcasing the effectiveness of the developed algorithm. The results demonstrate that the developed DV-based algorithm has superb abilities in smoothing different images while preserving structural details, making it a valuable tool for various applications in digital image processing.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>метод Чан-Везе</kwd><kwd>регуляризация</kwd><kwd>сглаживание изображений</kwd><kwd>диффузия</kwd><kwd>направленная дисперсия</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Chan-Vese</kwd><kwd>regularization</kwd><kwd>image smoothing</kwd><kwd>diffusion</kwd><kwd>directional variance</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Автор благодарен сотрудникам компьютерного центра Президентства Университета Мосула за помощь в завершении исследования.</funding-statement><funding-statement xml:lang="en">I have heartfelt gratitude to the Computer Center staff for the aid that led to the completion of this research.</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">Sun X., Lv X., Zhu G., Fang B., Jiang L. 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