<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">radioelectronics</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений России. Радиоэлектроника</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of the Russian Universities. Radioelectronics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1993-8985</issn><issn pub-type="epub">2658-4794</issn><publisher><publisher-name>Saint Petersburg Electrotechnical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32603/1993-8985-2025-28-3-24-41</article-id><article-id custom-type="elpub" pub-id-type="custom">radioelectronics-1014</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>ТЕЛЕВИДЕНИЕ И ОБРАБОТКА ИЗОБРАЖЕНИЙ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TELEVISION AND IMAGE PROCESSING</subject></subj-group></article-categories><title-group><article-title>Метод оценки ошибки метамеризма наблюдателя для современных дисплеев</article-title><trans-title-group xml:lang="en"><trans-title>Estimation of Observer Metameric Failure when Using Modern Displays</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4241-4298</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мотыко</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Motyko</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мотыко Александр Александрович – кандидат технических наук (2012), доцент (2019), старший научный сотрудник лаборатории "Вероятностные методы в анализе" факультета математики и компьютерных наук; доцент кафедры телевидения и видеотехники </p><p>Автор более 80 научных работ. Сфера научных интересов – компьютерное зрение; колориметрия; глубокое обучение.</p><p>ул. Проф. Попова, д. 5 Ф, Санкт-Петербург, 197022</p></bio><bio xml:lang="en"><p>Alexander A. Motyko, Cand. Sci. (Eng.) (2012), Associate Professor (2019), Senior Researcher of the Laboratory "Probabilistic Methods in Analysis" of Faculty of Mathematics and Computer Science; Associate Professor of Television and Video Engineering</p><p>The author of more than 80 scientific publications. Area of expertise: computer vision; colorimetry; deep learning.</p><p>5 F, Professor Popov St., St Petersburg 197022</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1953-2085</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Обухова</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Obukhova</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Обухова Наталия Александровна – доктор технических наук (2009), декан факультета радиотехники и телекоммуникаций, зав. кафедрой телевидения и видеотехники</p><p> Автор более 130 научных работ. Сфера научных интересов – компьютерное зрение и видеоаналитика; машинное обучение и цифровая обработка изображений; видеосистемы и системы поддержки принятия решений; smart-технологии формирования изображений.</p><p>ул. Проф. Попова, д. 5 Ф, Санкт-Петербург, 197022</p></bio><bio xml:lang="en"><p>Natalia A. Obukhova, Dr Sci. in Engineering (2009), Dean of the Faculty of Radio Engineering and Telecommuni- cations, Head of the Department of Television and Video Engineering </p><p>The author of more than 130 scientific publications. Area of expertise: computer vision and video analytics; machine learning and digital image processing; video systems and decision support systems; smart imaging technologies.</p><p>5 F, Professor Popov St., St Petersburg 197022</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0006-2509-1254</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Смирнов</surname><given-names>К. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Smirnov</surname><given-names>K. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Смирнов Константин Андреевич – магистр по направлению "Радиотехника" (2022); аспирант кафедры телевидения и видеотехники; Инженер-исследователь лаборатории "Вероятностные методы в анализе" факультета математики и компьютерных наук </p><p>Автор пяти научных публикаций. Сфера научных интересов – компьютерное зрение; колориметрия.</p><p>ул. Проф. Попова, д. 5 Ф, Санкт-Петербург, 197022</p></bio><bio xml:lang="en"><p>Konstantin A. Smirnov – Master's degree in Radio Engineering (2022), Postgraduate student of Television and Video Engineering; Researcher of the Laboratory of Probabilistic Methods in Analysis of Faculty of Mathematics and Computer Science </p><p>The author of 5 scientific publications. Area of expertise: computer vision; colourimetry.</p><p>5 F, Professor Popov St., St Petersburg 197022</p></bio><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Санкт-Петербургский государственный университет; Санкт-Петербургский государственный электротехнический университет "ЛЭТИ" им. В. И. Ульянова (Ленина)<country>Россия</country></aff><aff xml:lang="en">St Petersburg State University; Saint Petersburg Electrotechnical University<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Санкт-Петербургский государственный электротехнический университет "ЛЭТИ" им. В. И. Ульянова (Ленина)<country>Россия</country></aff><aff xml:lang="en">Saint Petersburg Electrotechnical University<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru">Санкт-Петербургский государственный университет; Санкт-Петербургский государственный электротехнический университет "ЛЭТИ" им. В. И. Ульянова (Ленина)<country>Россия</country></aff><aff xml:lang="en">Saint Petersburg Electrotechnical University; St Petersburg State University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>05</day><month>07</month><year>2025</year></pub-date><volume>28</volume><issue>3</issue><fpage>24</fpage><lpage>41</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мотыко А.А., Обухова Н.А., Смирнов К.А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Мотыко А.А., Обухова Н.А., Смирнов К.А.</copyright-holder><copyright-holder xml:lang="en">Motyko A.A., Obukhova N.A., Smirnov K.A.</copyright-holder><license 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://re.eltech.ru/jour/article/view/1014">https://re.eltech.ru/jour/article/view/1014</self-uri><abstract><p>Введение. Появление воспроизводящих устройств с широким цветовым охватом (светодиодные, лазерные или OLED) обострило проблему цветопередачи, связанную с индивидуальными отличиями функций цветового соответствия (ФЦС) различных пользователей и называемую ошибкой метамеризма наблюдателя. В настоящее время к широкому цветовому охвату стремятся разработчики и дисплеев смартфонов, и телевизоров, и других воспроизводящих устройств, при этом методика оценки выраженности ошибки метамеризма наблюдателя для конкретного устройства отсутствует.Цель работы. Создание методики оценки выраженности ошибки метамеризма наблюдателя, в результате которой для конкретного воспроизводящего устройства будет возможно оценить необходимость специализированной цветокоррекции, позволяющей компенсировать соответствующую ошибку цветопередачи.Материалы и методы. Используются "категориальные наблюдатели" – результат кластеризации ФЦС отдельных индивидуумов. Описана основанная на решении оптимизационной задачи процедура поиска пар цветов, которые при воспроизведении на дисплее с тремя опорными цветами были бы неразличимы одним категориальным наблюдателем, но выглядели бы различно для другого, т. е. вызывали бы эффект ошибки метамеризма наблюдателя. Исходя из выраженности ошибок на найденных парах цветов для набора категориальных наблюдателей делается вывод о необходимости специализированной коррекции для воспроизводящего устройства.Результаты. Показано, что ошибка метамеризма наблюдателя проявляется уже на существующих дисплеях. С развитием дисплеев и увеличением цветового охвата за счет сужения спектральных характеристик основных цветов ошибка будет проявляться все более выраженно, что обуславливает необходимость специальной цветокоррекции.Заключение. Предложена методика оценки выраженности ошибки метамеризма наблюдателя для воспроизводящего устройства, которая позволяет обосновать необходимость специализированной цветокоррекции, обеспечивающей компенсацию соответствующей ошибки цветопередачи. </p></abstract><trans-abstract xml:lang="en"><p>Introduction. The advent of wide-gamut color reproduction devices (LED, laser, or OLED) has exacerbated the problem of color rendering related to individual differences in color perception and referred to as observer metameric failure. Currently, designers of smartphone and TV displays, as well as other playback devices, are aiming to reach a wider gamut; however, there is a lack of device-specific methodologies for assessing the degree of observer metameric failure.Aim. To develop a method for estimating the degree of observer metameric failure. This method can be used to assess the need for a color correction of a particular device in order to compensate for the color rendering problem.Materials and methods. Categorical observers, formed by clustering of color matching functions of individual users, were used. The procedure of searching for pairs of colors that would be indistinguishable for one categorical observer, but would look different for another, i.e., would cause an observer metameric failure, was developed based on the solution of an optimization problem. The decision on the need to implement a color correction for the designed device is made based on the degree of errors on the found pairs of colors for a set of categorical observers.Results. It was shown that modern displays are already associated with the effect of observer metameric failure. Further development of display technologies and an extension of color coverage due to narrowing of spectral characteristics of basic colors will make the problem of observer metameric failure more pronounced, thus requiring special measures of color correction.Conclusion. A method for estimating the degree of observer metameric failure for a particular color reproduction device is proposed. This method can be used to assess the need for implementing color correction measures to compensate for the problem of color rendering by individual users.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>СВЧ</kwd><kwd>отражательные антенные решетки</kwd><kwd>полоса рабочих частот</kwd><kwd>коэффициент усиления</kwd><kwd>ячейка Флоке</kwd></kwd-group><kwd-group xml:lang="en"><kwd>observer metamerism error</kwd><kwd>colorimetry</kwd><kwd>color rendering</kwd><kwd>displays</kwd><kwd>color perception</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Исследование (разделы "Метод" и "Результат исследования") выполнено при финансовой поддержке Министерства науки и высшего образования Российской Федерации в рамках реализации научного проекта по соглашению № 075-15-2025-013.</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>The study (presented in sections "Method" and "Research result") was carried out with the financial support of the Ministry of Science and Higher Education of the Russian Federation in the framework of a scientific project under agreement No. 075-15-2025-013.</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">Stockman A. Cone fundamentals and CIE standards // Current Opinion in Behavioral Sciences. 2019. Vol. 30. P. 87–93. doi: 10.1016/j.cobeha.2019.06.005</mixed-citation><mixed-citation xml:lang="en">Stockman A. Cone fundamentals and CIE standards // Current Opinion in Behavioral Sciences. 2019. Vol. 30. P. 87–93. doi: 10.1016/j.cobeha.2019.06.005</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Vos J. J. Colorimetric and photometric properties of a 2° fundamental observer // Color Research and Application. 1978. Vol. 3. P. 125–128. doi: 10.1002/col.5080030309</mixed-citation><mixed-citation xml:lang="en">Vos J. J. Colorimetric and photometric properties of a 2° fundamental observer // Color Research and Application. 1978. Vol. 3. P. 125–128. doi: 10.1002/col.5080030309</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Stiles W. S., Burch J. M. NPL colour-matching investigation: Final report // Optica Acta. 1959. Vol. 6, iss. 1. P. 1–26. doi: 10.1080/713826267</mixed-citation><mixed-citation xml:lang="en">Stiles W. S., Burch J. M. NPL colour-matching investigation: Final report // Optica Acta. 1959. Vol. 6, iss. 1. P. 1–26. doi: 10.1080/713826267</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Mapping Quantitative Observer Metamerism of Displays / G. Trumpy, C. F. Andersen, I. Farup, O. Elezabi // J. of Imaging. 2023. Vol. 9, № 10. Art. № 227. doi: 10.3390/jimaging9100227</mixed-citation><mixed-citation xml:lang="en">Mapping Quantitative Observer Metamerism of Displays / G. Trumpy, C. F. Andersen, I. Farup, O. Elezabi // J. of Imaging. 2023. Vol. 9, № 10. Art. № 227. doi: 10.3390/jimaging9100227</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Stockman A., Sharpe L. T. The spectral sensitivities of the middleand long-wavelengthsensitive cones derived from measurements in observers of known genotype // Vision Research. 2000. Vol. 40, iss. 13. P. 1711–1737. doi: 10.1016/S0042-6989(00)00021-3</mixed-citation><mixed-citation xml:lang="en">Stockman A., Sharpe L. T. The spectral sensitivities of the middleand long-wavelengthsensitive cones derived from measurements in observers of known genotype // Vision Research. 2000. Vol. 40, iss. 13. P. 1711–1737. doi: 10.1016/S0042-6989(00)00021-3</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Measuring and modeling display observer metamerism / Ch. Shen, R. Wanat, J. Yoo, J. Jang, M. Fairchild // The Visual Computer. 2022. Vol. 38. P. 3301–3310. doi: 10.1007/s00371-022-02546-7</mixed-citation><mixed-citation xml:lang="en">Measuring and modeling display observer metamerism / Ch. Shen, R. Wanat, J. Yoo, J. Jang, M. Fairchild // The Visual Computer. 2022. Vol. 38. P. 3301–3310. doi: 10.1007/s00371-022-02546-7</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Ramanath R. Minimizing observer metamerism in display systems // Color Res. Appl. 2009. Vol. 34, iss. 5. P. 391–398. doi: 10.1002/col.20523</mixed-citation><mixed-citation xml:lang="en">Ramanath R. Minimizing observer metamerism in display systems // Color Res. Appl. 2009. Vol. 34, iss. 5. P. 391–398. doi: 10.1002/col.20523</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Hu Y., Wei M., Luo M. R. Observer metamerism to display white point using different primary sets // Optics Express. 2020. Vol. 28, iss. 14. P. 20305–20323. doi: 10.1364/OE.395568</mixed-citation><mixed-citation xml:lang="en">Hu Y., Wei M., Luo M. R. Observer metamerism to display white point using different primary sets // Optics Express. 2020. Vol. 28, iss. 14. P. 20305–20323. doi: 10.1364/OE.395568</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Long D. L., Fairchild M. D. Observer metamerism models and multiprimary display systems // SMPTE Motion Imaging J. 2016. Vol. 125, iss. 3. P. 18–29. doi: 10.5594/JMI.2016.252740178-1: Correcting Metameric Failure of Wide Color Gamut Displays / B. Bodner, N. Robinson, R. Atkins, S. Daly // SID Symp. Digest of Technical Papers. 2018. Vol. 49, iss. 1. P. 1040–1043. doi: 10.1002/sdtp.12190</mixed-citation><mixed-citation xml:lang="en">Long D. L., Fairchild M. D. Observer metamerism models and multiprimary display systems // SMPTE Motion Imaging J. 2016. Vol. 125, iss. 3. P. 18–29. doi: 10.5594/JMI.2016.252740178-1: Correcting Metameric Failure of Wide Color Gamut Displays / B. Bodner, N. Robinson, R. Atkins, S. Daly // SID Symp. Digest of Technical Papers. 2018. Vol. 49, iss. 1. P. 1040–1043. doi: 10.1002/sdtp.12190</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Bai C. Y. H., Ou L. C. Observer variability study and method to implement observer categories for novel light source projection system // Color Res. Appl. 2021. Vol. 46, iss. 5. P. 1019–1033. doi: 10.1002/col.22634</mixed-citation><mixed-citation xml:lang="en">Bai C. Y. H., Ou L. C. Observer variability study and method to implement observer categories for novel light source projection system // Color Res. Appl. 2021. Vol. 46, iss. 5. P. 1019–1033. doi: 10.1002/col.22634</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Reducing the CIE colorimetric matching failure on wide color gamut displays / M. Ko, Y. Kwak, G. Seo, J. Kim, Y. Moon // Opt. Express. 2023. Vol. 31, iss. 4. P. 5670–5686. doi: 10.1364/OE.480001</mixed-citation><mixed-citation xml:lang="en">Reducing the CIE colorimetric matching failure on wide color gamut displays / M. Ko, Y. Kwak, G. Seo, J. Kim, Y. Moon // Opt. Express. 2023. Vol. 31, iss. 4. P. 5670–5686. doi: 10.1364/OE.480001</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">A device and method for color contrast enhancement based on human color vision features / N. A. Obukhova, A. A. Motyko, A. A. Pozdeev, E. V. Vorobyev, M. K. Tchobanou // Patent WO, № 2023172154A1, 2023.</mixed-citation><mixed-citation xml:lang="en">A device and method for color contrast enhancement based on human color vision features / N. A. Obukhova, A. A. Motyko, A. A. Pozdeev, E. V. Vorobyev, M. K. Tchobanou // Patent WO, № 2023172154A1, 2023.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Special Metamerism Index: Change in Observer. Technical Report 80. Vienna, Austria: CIE Central Bureau, 1989.</mixed-citation><mixed-citation xml:lang="en">Special Metamerism Index: Change in Observer. Technical Report 80. Vienna, Austria: CIE Central Bureau, 1989.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Sarkar A. CIE Special Metamerism Index: Change in Observer // Encyclopedia of Color Science and Technology / Ed. by R. Luo. Berlin/Heidelberg: Springer, 2015. P. 1–9. doi: 10.1007/978-3-642-27851-8_322-1</mixed-citation><mixed-citation xml:lang="en">Sarkar A. CIE Special Metamerism Index: Change in Observer // Encyclopedia of Color Science and Technology / Ed. by R. Luo. Berlin/Heidelberg: Springer, 2015. P. 1–9. doi: 10.1007/978-3-642-27851-8_322-1</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Fairchild M. D., Heckaman R. L. Metameric Observers: A Monte Carlo Approach // Proc. of the 21st Color and Imaging Conf. 2013. Vol. 21. P. 185–190. doi: 10.2352/CIC.2013.21.1.art00033</mixed-citation><mixed-citation xml:lang="en">Fairchild M. D., Heckaman R. L. Metameric Observers: A Monte Carlo Approach // Proc. of the 21st Color and Imaging Conf. 2013. Vol. 21. P. 185–190. doi: 10.2352/CIC.2013.21.1.art00033</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Asano Y. Individual Colorimetric Observers for Personalized Color Imaging. Ph.D. Thesis, Rochester Institute of Technology. NY, USA, Rochester, 2015.</mixed-citation><mixed-citation xml:lang="en">Asano Y. Individual Colorimetric Observers for Personalized Color Imaging. Ph.D. Thesis, Rochester Institute of Technology. NY, USA, Rochester, 2015.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Long D. L., Fairchild M. D. Modeling Observer Variability and Metamerism Failure in Electronic Color Displays // J. of Imaging Science and Technology. 2014. Vol. 58. P. 030402-1–030402-14. doi: 10.2352/J.ImagingSci.Technol.2014.58.3.030402</mixed-citation><mixed-citation xml:lang="en">Long D. L., Fairchild M. D. Modeling Observer Variability and Metamerism Failure in Electronic Color Displays // J. of Imaging Science and Technology. 2014. Vol. 58. P. 030402-1–030402-14. doi: 10.2352/J.ImagingSci.Technol.2014.58.3.030402</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Xie H., Farnand S. P., Murdoch M. J. Observer metamerism in commercial displays // J. of the Optical Society of America A. 2020. Vol. 37, iss. 4. P. 61–69. doi: 10.1364/JOSAA.382228</mixed-citation><mixed-citation xml:lang="en">Xie H., Farnand S. P., Murdoch M. J. Observer metamerism in commercial displays // J. of the Optical Society of America A. 2020. Vol. 37, iss. 4. P. 61–69. doi: 10.1364/JOSAA.382228</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Sharma G., Wu W., Dalal E. N. The CIEDE2000 Color-Difference Formula: Implementation Notes, Formula Specification and Examples // Color Research and Application. 2005. Vol. 30, iss. 1. P. 21–30. doi: 10.1002/col.20070</mixed-citation><mixed-citation xml:lang="en">Sharma G., Wu W., Dalal E. N. The CIEDE2000 Color-Difference Formula: Implementation Notes, Formula Specification and Examples // Color Research and Application. 2005. Vol. 30, iss. 1. P. 21–30. doi: 10.1002/col.20070</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Kim A., Kim H., Park S. Measuring of the Perceptibility and Acceptability in Various Color Quality Measures // J. of the Optical Society of Korea. 2011. Vol. 15, iss. 3. P. 310–317. doi: 10.3807/JOSK.2011.15.3.310</mixed-citation><mixed-citation xml:lang="en">Kim A., Kim H., Park S. Measuring of the Perceptibility and Acceptability in Various Color Quality Measures // J. of the Optical Society of Korea. 2011. Vol. 15, iss. 3. P. 310–317. doi: 10.3807/JOSK.2011.15.3.310</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Sarkar A. Identification and Assignment of Colorimetric Observer Categories and Their Applications in Color and Vision Sciences. Ph.D. Thesis, Université de Nantes, 2011.</mixed-citation><mixed-citation xml:lang="en">Sarkar A. Identification and Assignment of Colorimetric Observer Categories and Their Applications in Color and Vision Sciences. Ph.D. Thesis, Université de Nantes, 2011.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Ketchen D. J., Shook C. L. The application of cluster analysis in strategic management research: an analysis and critique // Strategic Management J. 1996. Vol. 17. P. 441–458. doi: 10.1002/(SICI)1097-0266(199606)17:6%3C441::AIDSMJ819%3E3.0.CO;2-G</mixed-citation><mixed-citation xml:lang="en">Ketchen D. J., Shook C. L. The application of cluster analysis in strategic management research: an analysis and critique // Strategic Management J. 1996. Vol. 17. P. 441–458. doi: 10.1002/(SICI)1097-0266(199606)17:6%3C441::AIDSMJ819%3E3.0.CO;2-G</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Mathematical Discontinuities in CIEDE2000 Color Difference Computations / G. Sharma, W. Wu, E. Dalal, U. M. Celik // The 12th Color Imaging Conf.</mixed-citation><mixed-citation xml:lang="en">Mathematical Discontinuities in CIEDE2000 Color Difference Computations / G. Sharma, W. Wu, E. Dalal, U. M. Celik // The 12th Color Imaging Conf.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Color Science and Engineering Systems, Technologies, Applications, Scottsdale, Arizona, USA, 9 Nov. 2004. P. 334–339.</mixed-citation><mixed-citation xml:lang="en">Color Science and Engineering Systems, Technologies, Applications, Scottsdale, Arizona, USA, 9 Nov. 2004. P. 334–339.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Basin Hopping as a General and Versatile Optimization Framework for the Characterization of Biological Macromolecules / B. Olson, I. Hashmi, K. Molloy, A. Shehu // Advances in Artificial Intelligence. 2012. Vol. 2012, iss. 1. Art. № 674832. doi: 10.1155/2012/674832</mixed-citation><mixed-citation xml:lang="en">Basin Hopping as a General and Versatile Optimization Framework for the Characterization of Biological Macromolecules / B. Olson, I. Hashmi, K. Molloy, A. Shehu // Advances in Artificial Intelligence. 2012. Vol. 2012, iss. 1. Art. № 674832. doi: 10.1155/2012/674832</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>
