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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">sapi</journal-id><journal-title-group><journal-title xml:lang="ru">Системный анализ и прикладная информатика</journal-title><trans-title-group xml:lang="en"><trans-title>«System analysis and applied information science»</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2309-4923</issn><issn pub-type="epub">2414-0481</issn><publisher><publisher-name>Belarusian National Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/2309-4923-2019-4-32-37</article-id><article-id custom-type="elpub" pub-id-type="custom">sapi-426</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>Управление техническими объектами</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Management of technical objects</subject></subj-group></article-categories><title-group><article-title>Комбинированное кодирование битовых плоскостей изображений</article-title><trans-title-group xml:lang="en"><trans-title>Combined coding of bit planes of images</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Садик</surname><given-names>Б. Д.С.</given-names></name><name name-style="western" xml:lang="en"><surname>Sadiq</surname><given-names>B. J.S.</given-names></name></name-alternatives><bio xml:lang="ru"/><bio xml:lang="en"/><email xlink:type="simple">baqir.alsadiq@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Цветков</surname><given-names>В. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Tsviatkou</surname><given-names>V. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, доцент, заведующий кафедрой инфокоммуникационных технологий</p></bio><bio xml:lang="en"><p>Doctor of Engineering, associate professor, head of department of infocommunications</p></bio><email xlink:type="simple">vtsvet@bsuir.by</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бобов</surname><given-names>М. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Bobov</surname><given-names>M. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, профессор кафедры инфокоммуникационных технологий</p></bio><bio xml:lang="en"><p>PhD, professor, department of infocommunications</p></bio><email xlink:type="simple">nikitich.b@tut.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский государственный университет информатики и радиоэлектроники</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian State University of Informatics and Radioelectronics</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>30</day><month>12</month><year>2019</year></pub-date><volume>0</volume><issue>4</issue><fpage>32</fpage><lpage>37</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Садик Б.Д., Цветков В.Ю., Бобов М.Н., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Садик Б.Д., Цветков В.Ю., Бобов М.Н.</copyright-holder><copyright-holder xml:lang="en">Sadiq B.J., Tsviatkou V.Y., Bobov M.N.</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://sapi.bntu.by/jour/article/view/426">https://sapi.bntu.by/jour/article/view/426</self-uri><abstract><p>Целью работы является снижение вычислительной сложности сжатия полутоновых изображений без потерь в пространственной области за счет комбинированного кодирования арифметического и длин серий бит битовых плоскостей. Известные эффективные кодеры сжатия раздельно кодируют битовые плоскости изображения или коэффициентов преобразования, что приводит к росту вычислительной сложности из-за многократной обработки каждого пикселя. В работе предложены правила комбинированного кодирования и комбинированные кодеры битовых плоскостей разностей пикселей изображений с перестраиваемой и постоянной структурой, имеющие по сравнению с арифметическим кодером битовых плоскостей меньшую вычислительную сложность и такой же коэффициент сжатия.</p></abstract><trans-abstract xml:lang="en"><p>The aim of this work is to reduce the computational complexity of lossless compression in the spatial domain due to the combined coding (arithmetic and Run-Length Encoding) of a series of bits of bit planes. Known effective compression encoders separately encode the bit planes of the image or transform coefficients, which leads to an increase in computational complexity due to multiple processing of each pixel. The paper proposes the rules for combined coding and combined encoders for bit planes of pixel differences of images with a tunable and constant structure, which have lower computational complexity and the same compression ratio as compared to an arithmetic encoder of bit planes.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>комбинированное кодирование</kwd><kwd>сжатие изображений</kwd><kwd>битовые плоскости</kwd><kwd>арифметическое кодирование</kwd><kwd>кодирование длин серий</kwd><kwd>вычислительная сложность</kwd><kwd>кодеки сжатия</kwd></kwd-group><kwd-group xml:lang="en"><kwd>combined coding</kwd><kwd>image compression</kwd><kwd>bit planes</kwd><kwd>arithmetic coding</kwd><kwd>Run-Length Encoding</kwd><kwd>computational complexity</kwd><kwd>compression codecs</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">Taubman, D. S. 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