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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="oration" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">8833</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Conference Report, Theses of Report</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Signal-to-Noise Ratio Enhancement by Spatial Averaging at Image Registration</article-title><trans-title-group xml:lang="ru"><trans-title>Увеличение отношения сигнал/шум за счёт пространственного усреднения при регистрации изображений</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Evtikhiev</surname><given-names>N N</given-names></name><name xml:lang="ru"><surname>Евтихиев</surname><given-names>Николай Николаевич</given-names></name></name-alternatives><bio xml:lang="en">Department of Laser Physics</bio><bio xml:lang="ru">Кафедра лазерной физики</bio><email>NNEvtikhiyev@mephi.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Krasnov</surname><given-names>V V</given-names></name><name xml:lang="ru"><surname>Краснов</surname><given-names>Виталий Вячеславович</given-names></name></name-alternatives><bio xml:lang="en">Department of Laser Physics</bio><bio xml:lang="ru">Кафедра лазерной физики</bio><email>vitaly.krasnov@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Rodin</surname><given-names>V G</given-names></name><name xml:lang="ru"><surname>Родин</surname><given-names>Владислав Геннадьевич</given-names></name></name-alternatives><bio xml:lang="en">Department of Laser Physics</bio><bio xml:lang="ru">Кафедра лазерной физики</bio><email>holo@pico.mephi.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Solyakin</surname><given-names>I V</given-names></name><name xml:lang="ru"><surname>Солякин</surname><given-names>Иван Владимирович</given-names></name></name-alternatives><bio xml:lang="en">Department of Laser Physics</bio><bio xml:lang="ru">Кафедра лазерной физики</bio><email>solid25@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Starikov</surname><given-names>S N</given-names></name><name xml:lang="ru"><surname>Стариков</surname><given-names>Сергей Николаевич</given-names></name></name-alternatives><bio xml:lang="en">Department of Laser Physics</bio><bio xml:lang="ru">Кафедра лазерной физики</bio><email>holo@pico.mephi.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Cheryomkhin</surname><given-names>P A</given-names></name><name xml:lang="ru"><surname>Черёмхин</surname><given-names>Павел Аркадьевич</given-names></name></name-alternatives><bio xml:lang="en">Department of Laser Physics</bio><bio xml:lang="ru">Кафедра лазерной физики</bio><email>cheremhinpavel@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Shapkarina</surname><given-names>E A</given-names></name><name xml:lang="ru"><surname>Шапкарина</surname><given-names>Екатерина Алексеевна</given-names></name></name-alternatives><bio xml:lang="en">Department of Laser Physics</bio><bio xml:lang="ru">Кафедра лазерной физики</bio><email>solid25@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">National Research Nuclear University “MEPhI”</institution></aff><aff><institution xml:lang="ru">Национальный исследовательский ядерный университет «МИФИ»</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2012-04-15" publication-format="electronic"><day>15</day><month>04</month><year>2012</year></pub-date><issue>4</issue><issue-title xml:lang="en">NO4 (2012)</issue-title><issue-title xml:lang="ru">№4 (2012)</issue-title><fpage>122</fpage><lpage>136</lpage><history><date date-type="received" iso-8601-date="2016-09-08"><day>08</day><month>09</month><year>2016</year></date></history><permissions><copyright-statement xml:lang="ru">Copyright ©; 2012, Евтихиев Н.Н., Краснов В.В., Родин В.Г., Солякин И.В., Стариков С.Н., Черёмхин П.А., Шапкарина Е.А.</copyright-statement><copyright-year>2012</copyright-year><copyright-holder xml:lang="ru">Евтихиев Н.Н., Краснов В.В., Родин В.Г., Солякин И.В., Стариков С.Н., Черёмхин П.А., Шапкарина Е.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/8833">https://journals.rudn.ru/miph/article/view/8833</self-uri><abstract xml:lang="en">Estimations of temporal and spatial noises and signal-to-noise ratios for image registration method of single exposure with spatial averaging were performed. Two necessary conditions for achievement of the maximum increase of signal-to-noise ratio were deﬁned. The obtained experimental results conﬁrm theoretical estimations of changing spatial resolution and achievable increase of signal-to-noise ratio in registered images. Joint usage for increase of signal-to-noise ratio of the considered method of single exposure with spatial averaging and the method of multiple exposure will allow to ﬂexibly combine requirements to the speed of image registration and to the quantity of resolvable elements in image.</abstract><trans-abstract xml:lang="ru">Для метода однократной экспозиции с пространственным усреднением получены расчётные оценки временных и пространственных шумов и отношений сигнал/шум. Определены два необходимых условия для достижения максимального увеличения отношения сигнал/шум. Полученные экспериментальные результаты подтверждают расчётные оценки изменения пространственного разрешения изображения и достижимого увеличения отношения сигнал/шум. Совместное применение для повышения отношения сигнал/шум рассмотренного метода однократной экспозиции с пространственным усреднением и метода многократной экспозиции позволит гибко сочетать требования к скорости регистрации изображений и количеству разрешимых элементов в изображениях.</trans-abstract><kwd-group xml:lang="en"><kwd>image registration</kwd><kwd>signal-to-noise ratio</kwd><kwd>spatial averaging</kwd><kwd>temporal and spatial noises</kwd><kwd>single exposure</kwd><kwd>multiple exposure</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>регистрация изображений</kwd><kwd>отношение сигнал/шум</kwd><kwd>пространственное усреднение</kwd><kwd>временные и пространственные шумы</kwd><kwd>однократная экспозиция</kwd><kwd>многократная экспозиция</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Janesick J. 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