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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">msi</journal-id><journal-title-group><journal-title xml:lang="ru">Современная наука и инновации</journal-title><trans-title-group xml:lang="en"><trans-title>Modern Science and Innovations</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2307-910X</issn><publisher><publisher-name>North-Caucasus Federal University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.33236/2307-910X-2019-3-27-23-33</article-id><article-id custom-type="elpub" pub-id-type="custom">msi-118</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>ТЕХНИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ENGINEERING SCIENCES</subject></subj-group></article-categories><title-group><article-title>МОДЕЛИРОВАНИЕ ВЕЙВЛЕТ-ОБРАБОТКИ ТРЕХМЕРНЫХ ИЗОБРАЖЕНИЙ В МЕДИЦИНЕ</article-title><trans-title-group xml:lang="en"><trans-title>DISCRETE WAVELET TRANSFORM SIMULATION FOR 3D MEDICAL IMAGING</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>Нагорнов</surname><given-names>Н. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Nagornov</surname><given-names>N. N.</given-names></name></name-alternatives><email xlink:type="simple">sparta1392@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Северо-Кавказский федеральный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>North-Caucasus Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>04</day><month>08</month><year>2022</year></pub-date><volume>0</volume><issue>3</issue><fpage>22</fpage><lpage>31</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Нагорнов Н.Н., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Нагорнов Н.Н.</copyright-holder><copyright-holder xml:lang="en">Nagornov N.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://msi.elpub.ru/jour/article/view/118">https://msi.elpub.ru/jour/article/view/118</self-uri><abstract><p>Медицинская визуализация представляет собой процесс получения визуальной информации о внутренних структурах тела с целью их клинического анализа. Все современные системы медицинской визуализации используют аналого-цифровое преобразование данных, что приводит к возникновению шумов и искажению информации. Шумоподавление изображений является важной проблемой в современных системах медицинской визуализации</p></abstract><trans-abstract xml:lang="en"><p>Medical visualization is the process of obtaining visual information about the internal structures of the body for the purpose of their clinical analysis. All modern medical imaging systems use analog-to-digital data conversion, which leads to noise and distortion of information. Image noise reduction is an important issue in modern medical imaging systems.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>медицинская визуализация</kwd><kwd>дискретное вейвлет-преобразование</kwd><kwd>обработка трехмерных изображений</kwd><kwd>шум квантования</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">Barnhill E. et al. Nonlinear multiscale regularisation in MR elastography: Towards fine feature mapping // Med. Image Anal. Elsevier, 2017. Vol. 35. P. 133-145.</mixed-citation><mixed-citation xml:lang="en">Barnhill E. et al. Nonlinear multiscale regularisation in MR elastography: Towards fine feature mapping // Med. Image Anal. Elsevier, 2017. Vol. 35. P. 133-145.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Lucas L.F.R. et al. Lossless Compression of Medical Images Using 3-D Predictors // IEEE Trans. Med. Imaging. 2017. Vol. 36, № 11. P. 2250-2260.</mixed-citation><mixed-citation xml:lang="en">Lucas L.F.R. et al. Lossless Compression of Medical Images Using 3-D Predictors // IEEE Trans. Med. Imaging. 2017. Vol. 36, № 11. P. 2250-2260.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Manjon J. V., Coupe P., Buades A. MRI noise estimation and denoising using non-local PCA // Med. Image Anal. Elsevier, 2015. Vol. 22, № 1. P. 35-47.</mixed-citation><mixed-citation xml:lang="en">Manjon J. V., Coupe P., Buades A. MRI noise estimation and denoising using non-local PCA // Med. Image Anal. Elsevier, 2015. Vol. 22, № 1. P. 35-47.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Schirrmacher F. et al. Temporal and volumetric denoising via quantile sparse image prior // Med. Image Anal. Elsevier, 2018. Vol. 48. P. 131 -146.</mixed-citation><mixed-citation xml:lang="en">Schirrmacher F. et al. Temporal and volumetric denoising via quantile sparse image prior // Med. Image Anal. Elsevier, 2018. Vol. 48. P. 131 -146.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Xu Z. et al. Joint solution for PET image segmentation, denoising, and partial volume correction // Med. Image Anal. 2018. Vol. 46. P. 229-243.</mixed-citation><mixed-citation xml:lang="en">Xu Z. et al. Joint solution for PET image segmentation, denoising, and partial volume correction // Med. Image Anal. 2018. Vol. 46. P. 229-243.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Wu H., Huynh T.T., Souvenir R. Echocardiogram enhancement using supervised manifold denoising // Med. Image Anal. Elsevier, 2015. Vol. 24, № 1. P. 41-51.</mixed-citation><mixed-citation xml:lang="en">Wu H., Huynh T.T., Souvenir R. Echocardiogram enhancement using supervised manifold denoising // Med. Image Anal. Elsevier, 2015. Vol. 24, № 1. P. 41-51.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Fang L. et al. 3-D adaptive sparsity based image compression with applications to optical coherence tomography // IEEE Trans. Med. Imaging. 2015. Vol. 34, № 6. P. 1306-1320.</mixed-citation><mixed-citation xml:lang="en">Fang L. et al. 3-D adaptive sparsity based image compression with applications to optical coherence tomography // IEEE Trans. Med. Imaging. 2015. Vol. 34, № 6. P. 1306-1320.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Parikh S.S. et al. High Bit-Depth Medical Image Compression with HEVC // IEEE J. Biomed. Heal. Informatics. 2018. Vol. 22, № 2. P. 552-560.</mixed-citation><mixed-citation xml:lang="en">Parikh S.S. et al. High Bit-Depth Medical Image Compression with HEVC // IEEE J. Biomed. Heal. Informatics. 2018. Vol. 22, № 2. P. 552-560.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Ravichandran D., Ahamad M.G., Dhivakar M.R.A. Performance analysis of three-dimensional medical image compression based on discrete wavelet transform // 2016 22nd Int. Conf. Virtual Syst. Multimed. IEEE, 2016. P. 1 -8.</mixed-citation><mixed-citation xml:lang="en">Ravichandran D., Ahamad M.G., Dhivakar M.R.A. Performance analysis of three-dimensional medical image compression based on discrete wavelet transform // 2016 22nd Int. Conf. Virtual Syst. Multimed. IEEE, 2016. P. 1 -8.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Song X. et al. Three-dimensional separate descendant-based SPIHT algorithm for fast compression of high-resolution medical image sequences // IET Image Process. 2016. Vol. 11, № 1. P. 80-87.</mixed-citation><mixed-citation xml:lang="en">Song X. et al. Three-dimensional separate descendant-based SPIHT algorithm for fast compression of high-resolution medical image sequences // IET Image Process. 2016. Vol. 11, № 1. P. 80-87.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Naveen C. et al. A simple and efficient approach for medical image security using chaos on EZW // ICAPR 2015-2015 8th Int. Conf. Adv. Pattern Recognit. IEEE, 2015. P. 1-6.</mixed-citation><mixed-citation xml:lang="en">Naveen C. et al. A simple and efficient approach for medical image security using chaos on EZW // ICAPR 2015-2015 8th Int. Conf. Adv. Pattern Recognit. IEEE, 2015. P. 1-6.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Bailey D.G. Design for Embedded Image Processing on FPGAs. Singapore: John Wiley &amp; Sons (Asia) Pte Ltd, 2011.</mixed-citation><mixed-citation xml:lang="en">Bailey D.G. Design for Embedded Image Processing on FPGAs. Singapore: John Wiley &amp; Sons (Asia) Pte Ltd, 2011.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Ahmad A., Ja'afar N.H., Amira A. FPGA-based implementation of 3-D Daubechies for medical image compression // 2012 IEEE-EMBS Conf. Biomed. Eng. Sci. IEEE, 2012. P. 683-688.</mixed-citation><mixed-citation xml:lang="en">Ahmad A., Ja'afar N.H., Amira A. FPGA-based implementation of 3-D Daubechies for medical image compression // 2012 IEEE-EMBS Conf. Biomed. Eng. Sci. IEEE, 2012. P. 683-688.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Elsayed M. et al. FPGA implementation of DWT EEG data compression for wireless body sensor networks // 2016 IEEE Conf. Wirel. Sensors. IEEE, 2016. P. 21-25.</mixed-citation><mixed-citation xml:lang="en">Elsayed M. et al. FPGA implementation of DWT EEG data compression for wireless body sensor networks // 2016 IEEE Conf. Wirel. Sensors. IEEE, 2016. P. 21-25.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Jiang R.M., Crookes D. FPGA Implementation of 3D Discrete Wavelet Transform for Real-Time Medical Imaging // 2007 18th Eur. Conf. Circuit Theory Des. IEEE, 2007. P. 519-522.</mixed-citation><mixed-citation xml:lang="en">Jiang R.M., Crookes D. FPGA Implementation of 3D Discrete Wavelet Transform for Real-Time Medical Imaging // 2007 18th Eur. Conf. Circuit Theory Des. IEEE, 2007. P. 519-522.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">El Hassan E.M., Karim M. An FPGA-based implementation of a pre-processing stage for ECG signal analysis using DWT // 2014 Second World Conf. Complex Syst. IEEE, 2014. P. 649-654.</mixed-citation><mixed-citation xml:lang="en">El Hassan E.M., Karim M. An FPGA-based implementation of a pre-processing stage for ECG signal analysis using DWT // 2014 Second World Conf. Complex Syst. IEEE, 2014. P. 649-654.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Vijendra V., Kulkarni M. ECG signal filtering using DWT haar wavelets coefficient techniques // 2016 Int. Conf. Emerg. Trends Eng. Technol. Sci. IEEE, 2016. P. 1-6.</mixed-citation><mixed-citation xml:lang="en">Vijendra V., Kulkarni M. ECG signal filtering using DWT haar wavelets coefficient techniques // 2016 Int. Conf. Emerg. Trends Eng. Technol. Sci. IEEE, 2016. P. 1-6.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Ballesteros Larrotta D.M., Moreno Enciso D.M., Gaona Barrera A.E. Compression of biomedical Signals on FPGA by DWT and run-length // 2010 IEEE ANDESCON Conf. Proceedings, ANDESCON 2010. IEEE, 2010. P. 1-5</mixed-citation><mixed-citation xml:lang="en">Ballesteros Larrotta D.M., Moreno Enciso D.M., Gaona Barrera A.E. Compression of biomedical Signals on FPGA by DWT and run-length // 2010 IEEE ANDESCON Conf. Proceedings, ANDESCON 2010. IEEE, 2010. P. 1-5</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Lalithakumari S. et al. Selection of optimum compression algorithms based on the characterization on feasibility for medical image // Biomed. Res. 2017. Vol. 28, № 13. 5633-5637 p</mixed-citation><mixed-citation xml:lang="en">Lalithakumari S. et al. Selection of optimum compression algorithms based on the characterization on feasibility for medical image // Biomed. Res. 2017. Vol. 28, № 13. 5633-5637 p</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Daubechies I. Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, 1992</mixed-citation><mixed-citation xml:lang="en">Daubechies I. Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, 1992</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Vaidyanathan P.P. Multirate systems and filter banks. Prentice Hall, 1993. 911 p</mixed-citation><mixed-citation xml:lang="en">Vaidyanathan P.P. Multirate systems and filter banks. Prentice Hall, 1993. 911 p</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Seber G.A.F., Wild C.J. Nonlinear Regression. Hoboken, NJ, USA: John Wiley &amp; Sons, Inc., 1989</mixed-citation><mixed-citation xml:lang="en">Seber G.A.F., Wild C.J. Nonlinear Regression. Hoboken, NJ, USA: John Wiley &amp; Sons, Inc., 1989</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Maddala G.S., Lahiri K. Introduction to econometrics. Wiley, 2009. 634 p</mixed-citation><mixed-citation xml:lang="en">Maddala G.S., Lahiri K. Introduction to econometrics. Wiley, 2009. 634 p</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">F-Distribution Tables . URL: http://socr.ucla.edu/Applets.dir/F_Table.html#FTable0.001 (07.06.2019)</mixed-citation><mixed-citation xml:lang="en">F-Distribution Tables . URL: http://socr.ucla.edu/Applets.dir/F_Table.html#FTable0.001 (07.06.2019)</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
