pimiПриборы и методы измеренийDevices and Methods of Measurements2220-95062414-0473BNTU10.21122/2220-9506-2019-10-2-185-197pimi-442Research ArticleМетоды измерений, контроля, диагностикиMethods of measurements, monitoring, diagnosticsМетодика определения диаметра и площади внутреннего просвета видимых сосудов глазаTechnique for Measuring the Internal Diameter and Area of Visible Vessels of the EyeФирагоВ. А.FiragoV. A.

Адрес для переписки: В.А. Фираго – Белорусский государственный университет, пр. Независимости, 4, г. Минск 220030, Беларусь.     e-mail: firago@bsu.by

Address for correspondence: V.A. Firago – Belarus.ian State University, Nezavisimosti Ave., 4, Minsk 220030, Belarus.     e-mail: firago@bsu.by

firago@bsu.byКубаркоА. И.KubarkoA. I.Белорусский государственный университетБеларусьBelarusian State UniversityBelarusБелорусский государственный медицинский университетБеларусьBelarusian State Medical UniversityBelarus201924062019102185197Copyright © Фираго В.А., Кубарко А.И., 20192019Фираго В.А., Кубарко А.И.Firago V.A., Kubarko A.I.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://pimi.bntu.by/jour/article/view/442

При контроле воздействия на микроциркуляторное русло различных сосудоактивных препаратов необходимы методика и соответствующая аппаратура определения их основных физиологических параметров: диаметра и площади внутреннего просвета, их удельной плотности, а также скорости кровотока. Поэтому цель данной работы – исследование возможностей повышения достоверности определения диаметра и площади внутреннего просвета видимых сосудов бульбарной конъюнктивы глаза. Предложена методика получения цифровых видеозаписей бульбарной конъюнктивы глаза, основанная на импульсной подсветке исследуемого участка. Описан макетный образец аппаратуры, обеспечивающей пространственное разрешение видеосъемки 2 мкм, что позволяет прослеживать все видимые сосуды, включая и капилляры. Обсуждается алгоритм стабилизации положения последовательности цифровых изображений бульбарной конъюнктивы относительно первого кадра, основанный на применении субпиксельной интерполяции при поиске глобального минимума среднеквадратического отклонения разностей яркостей первого и обрабатываемого кадра.

Рассматриваются предлагаемые алгоритмы трассировки сосудистого рисунка и определения диаметра и площади внутреннего просвета сосудов. Предложен оригинальный способ их вычисления, основанный на определении площади и высоты поперечного сечения изображения сосуда. Обсуждается проблема верификации получаемых результатов.

Описанный подход позволяет формировать диагностические изображения видимых сосудов бульбарной конъюнктивы, включая и капилляры, с указанием их диаметра и построением гистограмм их распределения по площади внутреннего просвета.

Учитывая корреляцию состояния сосудов глаз с состоянием сосудов в других органах, предлагаемая методика и аппаратурные решения имеют перспективу использования при создании аппаратуры для комплексной неинвазивной диагностики состояния микроциркуляторного русла и контроля эффективности лечения различных заболеваний сердечно-сосудистой системы.

The study of the effects on the microvasculature of various vasoactive drugs requires appro-priate methods and equipment for determining the basic physiological parameters of small blood vessels: their internal diameter and cross-sectional area, specific density, and blood flow velocity. Therefore, the purpose of the article is to study the possibilities of improving the reliability of determining the internal diameter and cross-sectional area of the visible blood vessels of bulbar con-junctival of the eye.

A technique for obtaining digital video recordings of the bulbar conjunctiva of the eye, based on the pulse illumination of the study area, is proposed. A prototype of the equipment with a spatial resolution of 2 µm video is described, which allows to trace all visible blood vessels, including capillaries. An algorithm for stabilizing the position of a sequence of digital images of the bulbar conjunctiva relative to the first frame is discussed. It is based on the use of subpixel interpolation when searching for a global minimum of the standard deviation of the differences in brightness of the first and selected frame.

The proposed algorithms for tracing the vascular pattern and determining the internal diameter and cross-sectional area of the blood vessels are described. An original method for calculating them is proposed, which is based on determining the area and height of a cross section of a blood vessel image. The problem of verification of the obtained results is discussed.

The described approach to make it possible to create diagnostic images of the visible blood vessels of the bulbar conjunctiva, including the capillaries, with an indication of their diameters. Examples of the construction of histograms of the distribution of the internal diameter and cross-sectional area of these blood vessels are presented.

The proposed technique and hardware solutions have the prospect of being used in creating equipment for complex non-invasive diagnostics of the microvasculature and monitoring the effectiveness of treating various diseases of the cardiovascular system, since the conditions of the eye blood vessels correlate with the state of the blood vessels in other organs.

микроциркуляторное руслоизмерение размеров малых сосудовдиаметр и площадь внутреннего просвета сосудовцифровая микроскопияалгоритмы обработки цифровых изображенийmicrocirculatory bedmeasurement of small vessel sizesinternal diameter and area of vesselsdigital microscopydigital image processing algorithmsReferencesFirago, V. Determination of blood flow velocity in vessels of bulbar conjunctiva / V. Firago, A. Kubarko, A. Hotra // Przegląd Elektrotechniczny. – 2016. – Vol. 92, no. 8. – Р. 105–108.Firago V., Kubarko A., Hotra A. Determination of blood fl velocity in vessels of bulbar conjunctiva. Przegląd Elektrotechniczny, 2016, vol. 92, no. 8, pp. 105–108.MacKenzie, L.Е. In vivo oximetry of human bulbar conjunctival and episcleral microvasculature using snapshot multispectral imaging / L.Е. MacKenzie [et al.] // Experimental Eye Research. – 2016. – Vol. 149. – Р. 48– 58. DOI: 10.1016/j.exer.2016.06.008MacKenzie L., Choudhary T., McNaught A., Harvey A.R. In vivo oximetry of human bulbar conjunctival and episcleral microvasculature using snapshot multispectral imaging. Experimental Eye Research, 2016, vol. 149, pp. 48–58. DOI: 10.1016/j.exer.2016.06.008Li, J. A. Novel Method for Blood Flow Measurement based on Sclera Images / J. Li, X. Zhang // 2012 4th International Conference on Bioinformatics and Biomedical Technology IPCBEE. – 2012. – Vol. 29. – P. 74–81.Li J., Zhang X.A. Novel Method for Blood Flow Measurement based on Sclera Images // 2012 4th International Conference on Bioinformatics and Biomedical Technology IPCBEE, 2012, vol. 29, pp. 74–81.Lisenko, S. Determination of Structural and Morphological Parameters of Human Bulbar Conjunctiva from Optical Diffuse Reflectance Spectra / S. Lisenko [et al.] // J. of Applied Spectroscopy. – 2016. – Vol. 83, iss. 4. – P. 617–626. DOI: 10.1007/s10812-016-0337-7Lisenko S., Firago V., Kugeiko M., Kubarko A. Determination of Structural and Morphological Parameters of Human Bulbar Conjunctiva from Optical Diffuse Reflectance Spectra. J. of Applied Spectroscopy, 2016, vol. 83, no. 4, pp. 617–626. DOI: 10.1007/s10812-016-0337-7Lisenko, S. Analytical model of diffuse reflectance spectrum of skin tissue / S. Lisenko [et al.] // Quantum Electronics. – 2014. – Vol. 44, no. 1. – P. 69–75.Lisenko S., Kugeiko M., Firago V., Sobchuk A. Analytical model of diffuse reflectance spectrum of skin tissue. Quantum Electronics, 2014, vol. 44, no. 1, pp. 69– 75.Veen, R. Diffuse-reflectance spectroscopy from 500 to 1060 nm by correction for inhomogeneously distributed absorbers / R. Veen, W. Verkruysse, H. Sterenborg // Optics Letters. – 2002. – Vol. 27, no. 4. – P. 246–248. DOI: 10.1364/OL.27.000246Veen R., Verkruysse W., Sterenborg H. Diffusereflectance spectroscopy from 500 to 1060 nm by correction for inhomogeneously distributed absorbers. Optics Letters, 2002, vol. 27, no. 4, pp. 246–248. DOI: 10.1364/OL.27.000246Meglinski, I.V. Computer simulation of the skin reflectance spectra / I.V. Meglinski, S.J. Matcher // Computer Methods and Programs in Biomedicine. – 2003. – Vol. 70, iss. 2. – P. 179–186. DOI: 10.1016/S0169-2607(02)00099-8Meglinski I.V., Matcher S. J. Computer simulation of the skin reflectance spectra. Computer Methods and Programs in Biomedicine, 2003, vol. 70, iss. 2, pp. 179– 186. DOI: 10.1016/S0169-2607(02)00099-8Bashkatov, A.N. Optical properties of human sclera in spectral range 370-2500 nm / A.N. Bashkatov [et al.] // Optics and Spectroscopy. – 2010. – Vol. 109, no. 2. – P. 197–204. DOI: 10.1134/S0030400X10080084Bashkatov A.N., Genina E.A., Kochubey V.I., Tuchin V.V. Optical properties of human sclera in spectral range 370-2500 nm. Optics and Spectroscopy, 2010, vol. 109, no. 2, pp. 197–204. DOI: 10.1134/S0030400X10080084Fraz, M.M. An approach to localize the retinal blood vessels using bit planes and centerline detection / M.M. Fraz [et al.] // Computer Methods and Programs in Biomedicine. – 2012. – Vol. 108, no. 2. – P. 600–616. DOI: 10.1016/j.cmpb.2011.08.009Fraz M.M., Barman S.A., Remagnino P., Hoppe A., Basit A., Uyyanonvara B., Rudnicka A.R., Owen C.G. An approach to localize the retinal blood vessels using bit planes and centerline detection. Computer Methods and Programs in Biomedicine, 2012, vol. 108, no. 2, pp. 600–616. DOI: 10.1016/j.cmpb.2011.08.009Fraz, M.M. Quantification of blood vessel calibre in retinal images of multi-ethnic school children using model based approach / M.M. Fraz [et al.] // Computerized Medical Imaging and Graphics. – 2013. – Vol. 37, no. 1. – P. 48–60. DOI: 10.1016/j.compmedimag.2013.01.004Fraz M.M., Remagnino P., Hoppe A., Rudnicka A., Owen C.G., Whincup P.H., Barman S.A. Quantification of blood vessel calibre in retinal images of multi-ethnic school children using model based approach. Computerized Medical Imaging and Graphics, 2013, vol. 37, no. 1, pp. 48–60. DOI: 10.1016/j.compmedimag.2013.01.004Ilyasova, N.Y. Computer systems for geometrical analysis of blood vessels diagnostic images / N.Y. Ilyasova // Optical Memory and Neural Networks. – 2014. – Vol. 23, iss. 4. – P. 278–286. DOI: 10.3103/S1060992X14040110Ilyasova N.Y. Computer systems for geometrical analysis of blood vessels diagnostic images. Optical Memory and Neural Networks, 2014, vol. 23, iss. 4, pp. 278–286. DOI: 10.3103/S1060992X14040110Bankhead, P. Fast retinal vessel detection and measurementusing waveletsand edge locationrefinement / P. Bankhead [et al.] // PLoS ONE. – 2012. – Vol. 7, iss. 3. – P. 1–12. DOI: 10.1371/journal.pone.0032435Bankhead P., Scholfield C., McGeown J., Curtis T. Fast retinal vessel detection and measurement using wavelets and edge location refinement. PLoS ONE, 2012, vol. 7, no. 3. DOI: 10.1371/journal.pone.0032435Bankhead, Pete. ARIA: Automated Retinal Image Analyzer v1.0. Centre for Vision and Vascular Science, Queen's University of Belfast, UK, Desember 2011.Bankhead P. ARIA: Automated Retinal Image Analyzer v1.0, Centre for Vision and Vascular Science, Queen's University of Belfast, UK, Desember 2011.Soares, J. Retinal vessel segmentation using the 2-D gabor wavelet and supervised classification / J. Soares [et al.] // IEEE Trans. Med. Imag. – 2006. – Vol. 25, no. 9. – P. 1214–1222. DOI: 10.1109/TMI.2006.879967Soares J., Leandro J., Cesar R., Jelinek H., Cree M. Retinal vessel segmentation using the 2-D gabor wavelet and supervised classification. IEEE Trans. Med. Imag., 2006, vol. 25, no. 9, pp. 1214–1222. DOI: 10.1109/TMI.2006.879967Citti, G. A cortical based model of perceptual completion in the roto-translation space / G. Citti, A. Sarti // Journal of Mathematical Imaging and Vision. – 2006. – Vol. 24, no. 3. – P. 307–326. DOI: 10.1007/s10851-005-3630-2Citti G., Sarti A. A cortical based model of perceptual completion in the roto-translation space. Journal of Mathematical Imaging and Vision, 2006, vol. 24, no. 3, pp. 307–326. DOI: 10.1007/s10851-005-3630-2Трофимов, Е.А. Эргономика зрительного восприятия: монография / Е.А. Трофимов; под ред. проф. И.Г. Городецкого. – М. : АИР, 2013. – 192 с.Trofimov Ye.A. Ergonomika zritelnogo vospriyatiya [Ergonomics of visual perception]. Moscow, AIR Publ., 2013, 192 p.Hunter, A. Non-linear filtering for vascular segmentation and detection of venous beading / A. Hunter [et al.] // Technical Report University of Durham. – 2003. – P. 100–104.Hunter A., Lowell J., Steel D. Non-linear filtering for vascular segmentation and detection of venous beading. Technical Report University of Durham, 2003, pp. 100–104.Duits, R. The explicit solutions of linear leftinvariant second order stochastic evolution equations on the 2D-Euclidean motion group / R. Duits, M.A. Almsick // Quarterly of Applied Mathematics. – 2008. – Vol. 66. – P. 27–67. DOI: 10.1090/S0033-569X-07-01066-0Duits R., Almsick M.A. The explicit solutions of linear left-invariant second order stochastic evolution equations on the 2D-Euclidean motion group. Quarterly of Applied Mathematics, 2008, vol. 66, pp. 27–67. DOI: 10.1090/S0033-569X-07-01066-0O'Halloran, M. Measurement of the retinal arteriolar response to a hyperoxic provocation in nonsmokers and smokers, using a high-resolution confocal scanning laser ophthalmoscope / M. O'Halloran, E. O'Donoghue, C. Dainty // J. of Biomedical Optics. – 2014. – Vol. 19, no. 7:076012. DOI: 10.1117/1.JBO.19.7.076012O'Halloran M., O'Donoghue E., Dainty C. Measurement of the retinal arteriolar response to a hyperoxic provocation in nonsmokers and smokers, using a highresolution confocal scanning laser ophthalmoscope. J. of Biomedical Optics, 2014, vol. 19, no. 7:076012. DOI: 10.1117/1.JBO.19.7.076012Лысенко, С.А. Методы оптической диагностики биологических объектов / С.А. Лысенко. – Минск: БГУ, 2014. – 231 с.Lysenko S.A. Metody opticheskoy diagnostiki biologicheskikh obyektov [Methods of optical diagnostics of biological objects]. BSU, 2014, 231 p.Кубарко, А.И. Физиологическая оценка результатов спектрометрии cодержания оксигемоглобина и реакции микрососудов на изменение гемодинамики / А.И. Кубарко, В.А. Фираго // Неотложная кардиология и кардиоваскулярные риски. – 2018. – Т. 2, № 2. – С. 358–363.Kubarko A.I., Firago V.A. [Physiological evaluation of spectrometry results of oxyhemoglobin content and response of microvessels to hemodynamic changes]. Neotlozhnaya kardiologiya i kardiovaskulyarnyye riski [Emergency Cardiology and Cardio vascular Risks], 2018, vol. 2, no. 2, pp. 358–363 (in Russian).

The authors declare that there are no conflicts of interest present.