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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Programming and Computer Software</journal-id><journal-title-group><journal-title xml:lang="en">Programming and Computer Software</journal-title><trans-title-group xml:lang="ru"><trans-title>Программирование</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0132-3474</issn><issn publication-format="electronic">3034-5847</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">675696</article-id><article-id pub-id-type="doi">10.31857/S0132347424030075</article-id><article-id pub-id-type="edn">QAGUUM</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>DATA ANALYSIS</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>АНАЛИЗ ДАННЫХ</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Neural Network Method for Detecting Blur in Histological Images</article-title><trans-title-group xml:lang="ru"><trans-title>Нейросетевой метод детектирования размытия на гистологических изображениях</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Nazarenko</surname><given-names>G. S.</given-names></name><name xml:lang="ru"><surname>Назаренко</surname><given-names>Г. С.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>s02190303@gse.cs.msu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Krylov</surname><given-names>A. S.</given-names></name><name xml:lang="ru"><surname>Крылов</surname><given-names>А. С.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>kryl@cs.msu.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Lomonosov Moscow State University</institution></aff><aff><institution xml:lang="ru">Московский государственный университет имени М.В. Ломоносова</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-11-28" publication-format="electronic"><day>28</day><month>11</month><year>2024</year></pub-date><issue>3</issue><fpage>67</fpage><lpage>74</lpage><history><date date-type="received" iso-8601-date="2025-02-28"><day>28</day><month>02</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Российская академия наук</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0132-3474/article/view/675696">https://journals.eco-vector.com/0132-3474/article/view/675696</self-uri><abstract xml:lang="en"><p>In this paper we consider the problem of detecting blurred regions in high-resolution full-slide histologic images. The proposed method is based on the use of a Fourier neural operator trained on the results of two simultaneously used approaches: blur detection using multiscale analysis of the discrete cosine transform coefficients and estimation of the degree of sharpness of objects edges in the image. The efficiency of the algorithm is confirmed on images from the datasets PATH-DT-MSU [1] and FocusPath [2].</p></abstract><trans-abstract xml:lang="ru"><p>В работе рассматривается задача обнаружения размытых областей на полнослайдовых гистологических изображениях высокого разрешения. Предлагаемый метод основан на использовании нейронного оператора Фурье, обучаемого на результатах двух одновременно использованых подходов: обнаружения размытия с помощью многомасштабного анализа коэффициентов дискретного косинусного преобразования и оценки степени резкости границ объектов на изображении. Эффективность алгоритма подтверждена на изображениях из наборов данных PATH-DT-MSU [1] и FocusPath [2].</p></trans-abstract><kwd-group xml:lang="en"><kwd>histology</kwd><kwd>deep learning</kwd><kwd>blur region</kwd><kwd>Fourier neural operator</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>гистология</kwd><kwd>глубокое обучение</kwd><kwd>область размытия</kwd><kwd>нейронный оператор Фурье</kwd></kwd-group><funding-group><award-group><funding-source><institution-wrap><institution xml:lang="ru">Российский научный фонд</institution></institution-wrap><institution-wrap><institution xml:lang="en">Russian Science Foundation</institution></institution-wrap></funding-source><award-id>22-41-02002</award-id></award-group></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Khvostikov A., Krylov A., Mikhailov I., Malkov P. 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