Modeling of systems and processes Modeling of systems and processes Моделирование систем и процессов 2219-0767 110799 10.12737/2219-0767-2025-18-4-102-107 Технические науки Технические науки Analysis of the extreme and informational properties of the diffuse-reflective method of control and diagnostics of various products Анализ экстремальных и информационных свойств диффузно-отражательного метода контроля и диагностики различных изделий Эльчин Барат оглы Искендерзаде El'chin Barat ogly Iskenderzade https://orcid.org/0000-0003-1180-1535 Асадов Хикмет Гамид оглы Asadov Hikmat Hamid oglu asadzade@rambler.ru

доктор технических наук;

doctor of technical sciences;

 Камиль Сохраб оглы Гусейнов Kamil' Sohrab ogly Guseynov Национальное аэрокосмическое агентство Баку Азербайджан National aerospace agency Baku Azerbaijan 23 12 2025 23 12 2025 18 4 102 107 22 12 2025 https://zh-szf.ru/en/nauka/article/110799/view

Cтатья посвящена анализу экстремальных и информационных свойств диффузно-отражательного метода тестирования различных изделий, в том числе сельскохозяйственной плодоовощной продукции. Рассмотрены основные методы, которые могут быть использованы при проведении и тестирования по диффузно-отражательному методу. На основе уравнения Кубелки-Мунка, построен функционал диффузно-отражательного неразрушающего метода. Исследовано экстремальное свойство указанного функционала при некотором ограничительном условии, налагаемом на взаимосвязь коэффициента экстинкции и коэффициента рассеяния. Также на основе уравнения Кубелки-Мунка показано, что информативность диффузно-отражательного неразрушающего метода диагностики выше чем информативность разрушающего абсорбционного метода и неразрушающего метода рассеивания.

The article is devoted to the analysis of the extreme and informational properties of the diffuse-reflective method of testing various products, including agricultural fruit and vegetable products. The main methods that can be used in conducting and testing using the diffuse-reflective method are considered. Based on the Kubelka-Munch equation, the functional of the diffuse-reflective non-destructive method is constructed. The extreme property of this functional is investigated under a certain restrictive condition imposed on the relationship between the extinction coefficient and the scattering coefficient. Also, based on the Kubelka-Munk equation, it is shown that the information content of the diffuse-reflective non-destructive diagnostic method is higher than the information content of the destructive absorption method and the non-destructive scattering method.

 тестирование контроль и диагностика диффузно-отражательные изделия уравнение Кубелки-Мунка информативность по Шеннону testing control and diagnostics diffuse-reflective products Kubelka-Munch equation Shannon informativeness

Ameku K. Spud spectroscopy: determining differences between potatoes and sweet potatoes// Avantes. https://avantesusa.com/wp-content/uploads/2023/11/Spud-Spectroscopy-Determining-Differences-Between-Potatoes-and-Sweet-Potatoes.pdf Ameku K. Spud spectroscopy: determining differences between potatoes and sweet potatoes// Avantes. https://avantesusa.com/wp-content/uploads/2023/11/Spud-Spectroscopy-Determining-Differences-Between-Potatoes-and-Sweet-Potatoes.pdf Liu Y, Li B, Sun Y, Li C, Lu F, Zhong Z, Zhou J, Xie Y, Zhang S, Liang Z, Zhou M. Single cell micro-absorption spectroscopy system with temperature control: System design and spectral analysis. Rev Sci Instrum. 2024 Dec 1;95(12):123702. doi: 10.1063/5.0240029. PMID: 39651946. Liu Y, Li B, Sun Y, Li C, Lu F, Zhong Z, Zhou J, Xie Y, Zhang S, Liang Z, Zhou M. Single cell micro-absorption spectroscopy system with temperature control: System design and spectral analysis. Rev Sci Instrum. 2024 Dec 1;95(12):123702. doi: 10.1063/5.0240029. PMID: 39651946. Kashif M, Byrne HJ. From a Spectrum to Diagnosis: The Integration of Raman Spectroscopy and Chemometrics into Hepatitis Diagnostics. Applied Sciences. 2025; 15(5):2606. https://doi.org/10.3390/app15052606 Kashif M, Byrne HJ. From a Spectrum to Diagnosis: The Integration of Raman Spectroscopy and Chemometrics into Hepatitis Diagnostics. Applied Sciences. 2025; 15(5):2606. https://doi.org/10.3390/app15052606 Parameswari P., Walia S.S., Nayak P. Infrared thermal imaging in agriculture: revolutionizing crop management and precision farming// Food and Scientific reports. Vol. 6. Iss. 4. Page. 3. April 2025. Parameswari P., Walia S.S., Nayak P. Infrared thermal imaging in agriculture: revolutionizing crop management and precision farming// Food and Scientific reports. Vol. 6. Iss. 4. Page. 3. April 2025. Mark Durré, Infrared and Optical Emission-line Diagnostics, Monthly Notices of the Royal Astronomical Society, Volume 542, Issue 4, October 2025, Pages 3315–3330, https://doi.org/10.1093/mnras/staf1425 Mark Durré, Infrared and Optical Emission-line Diagnostics, Monthly Notices of the Royal Astronomical Society, Volume 542, Issue 4, October 2025, Pages 3315–3330, https://doi.org/10.1093/mnras/staf1425 Nowakowski AZ, Kaczmarek M. Artificial Intelligence in IR Thermal Imaging and Sensing for Medical Applications. Sensors. 2025; 25(3):891. https://doi.org/10.3390/s25030891 Nowakowski AZ, Kaczmarek M. Artificial Intelligence in IR Thermal Imaging and Sensing for Medical Applications. Sensors. 2025; 25(3):891. https://doi.org/10.3390/s25030891 Rady A., Guyer D., Lu R. Evaluation of sugar content of potatoes using hyperspectral imaging// Foodb bioprocess technol. 2015. Rady A., Guyer D., Lu R. Evaluation of sugar content of potatoes using hyperspectral imaging// Foodb bioprocess technol. 2015. Wołk K, Wołk A. Hyperspectral Imaging System Applications in Healthcare. Electronics. 2025; 14(23):4575. https://doi.org/10.3390/electronics14234575 Wołk K, Wołk A. Hyperspectral Imaging System Applications in Healthcare. Electronics. 2025; 14(23):4575. https://doi.org/10.3390/electronics14234575 Nacheva E., Slavova V. Application of fluorescence spectroscopy in the determination of varietal differences after potato harvesting// Bulgarian journal of agricultural science. 30. No 2. Pp. 305-309. 2024. Nacheva E., Slavova V. Application of fluorescence spectroscopy in the determination of varietal differences after potato harvesting// Bulgarian journal of agricultural science. 30. No 2. Pp. 305-309. 2024. Escuredo O., Meno L., Rodriguez-Flores M.S., Seijo M.C. Rapid estimation of potato quality parameters by a portable near-infrared spectroscopy// Sensors. 2011. https://doi.org/10.3390/s21248222. Escuredo O., Meno L., Rodriguez-Flores M.S., Seijo M.C. Rapid estimation of potato quality parameters by a portable near-infrared spectroscopy// Sensors. 2011. https://doi.org/10.3390/s21248222. Wang F., Wang C. Improved model for starch prediction in potato by the fusion of near0infrared spectral and textural data// Foods. 2022. 11. 3133. https://doi.org/10.3390/foods11193133. Wang F., Wang C. Improved model for starch prediction in potato by the fusion of near0infrared spectral and textural data// Foods. 2022. 11. 3133. https://doi.org/10.3390/foods11193133. Sikorska E., Khmelinskii I.V., Bourdelande J.L., Worrall D.R., Jasiewicz B., Sikorski M. Diffuse reflectance spectroscopy in photochemistry of opaque food products – methods and applications// Polish journal of food and nutrition sciences. Vol. 12/53. SI 2. Pp. 100-107. 2003. Sikorska E., Khmelinskii I.V., Bourdelande J.L., Worrall D.R., Jasiewicz B., Sikorski M. Diffuse reflectance spectroscopy in photochemistry of opaque food products – methods and applications// Polish journal of food and nutrition sciences. Vol. 12/53. SI 2. Pp. 100-107. 2003. Yakimov, B., Buiankin, K., Denisenko, G. et al. Diffuse reflectance spectroscopy and RGB-imaging: a comparative study of non-invasive haemoglobin assessment. Sci Rep 14, 22874 (2024). https://doi.org/10.1038/s41598-024-73084-6 Yakimov, B., Buiankin, K., Denisenko, G. et al. Diffuse reflectance spectroscopy and RGB-imaging: a comparative study of non-invasive haemoglobin assessment. Sci Rep 14, 22874 (2024). https://doi.org/10.1038/s41598-024-73084-6 Buendia-Aviles S, Cunill-Rodríguez M, Delgado-Atencio JA, González-Gutiérrez E, Arce-Diego JL, Fanjul-Vélez F. Evaluation of Diffuse Reflectance Spectroscopy Vegetal Phantoms for Human Pigmented Skin Lesions. Sensors. 2024; 24(21):7010. https://doi.org/10.3390/s24217010 Buendia-Aviles S, Cunill-Rodríguez M, Delgado-Atencio JA, González-Gutiérrez E, Arce-Diego JL, Fanjul-Vélez F. Evaluation of Diffuse Reflectance Spectroscopy Vegetal Phantoms for Human Pigmented Skin Lesions. Sensors. 2024; 24(21):7010. https://doi.org/10.3390/s24217010 Drewke, E. E., Brand, R. L., Geels, C. G., Jensen, H. K., Wong, K., Sanders, J. D., & Rajaram, N. (2024). Noncontact Diffuse Reflectance Spectroscopy of Synovial Fluid Samples for Rapid Identification of Infections. Journal of Biophotonics, 17 (11). Drewke, E. E., Brand, R. L., Geels, C. G., Jensen, H. K., Wong, K., Sanders, J. D., & Rajaram, N. (2024). Noncontact Diffuse Reflectance Spectroscopy of Synovial Fluid Samples for Rapid Identification of Infections. Journal of Biophotonics, 17 (11).