Method for determining uncertainty and error in the process of ophthalmic lens calibration

Salgar-Marín , Alejandro; Vargas , Javier Alberto; Ramírez-Barrera, Andrés Felipe

Method for determining uncertainty and error in the process of ophthalmic lens calibration

dc.creator	Salgar-Marín , Alejandro
dc.creator	Vargas , Javier Alberto
dc.creator	Ramírez-Barrera, Andrés Felipe
dc.date	2021-11-30
dc.date.accessioned	2025-10-01T23:52:43Z
dc.description	In the present investigation, a scientific procedure was developed, and a mathematical model was proposed, with the objective of determining, under standard conditions, the uncertainty, and the measurement of dioptric power in ophthalmic lenses. The methodology of the scientific procedure is based on the fundamentals of geometric optics, this process guarantees and establishes a standardized uncertainty measure in repeatable and reproducible processes. The methodology is complemented with a proposed mathematical model based on the guide for the expression of uncertainty in measurement - GUM. This model can be applied to lenses used for calibrating eye care equipment (such as lensometers, which are used to diagnose myopia and farsightedness) by evaluating the lenses without having direct contact with patients. When the proposed mathematical model was applied, its experimental result was a maximum expanded uncertainty of ± 0.0079 diopters in a 0.5-diopter lens. This is optimal compared to the result of other authors this article, who reported a maximum expanded uncertainty of ± 0.0086 diopters. In conclusion, the application of this scientific procedure provides manufacturers and users of this type of lenses with a reliable measurement thanks to a calibration process based on geometrical optics and centered on patient safety.	en-US
dc.description	En la presente investigación se desarrolló un procedimiento científico, y se propuso un modelo matemático, con el objetivo de determinar, bajo condiciones estándar, la incertidumbre y la medida de potencia dióptrica en lentes oftalmológicos. La metodología del procedimiento científico está basada en los fundamentos de la óptica geométrica, este proceso garantiza y establece una medida de incertidumbre estandarizada en procesos repetibles y reproducibles. La metodología se complementa con una propuesta de modelo matemático basado en la guía para la expresión de la incertidumbre en la medida - GUM. Este modelo se puede aplicar a los lentes que se utilizan para la calibración de equipos de salud visual, como los lensómetros, los cuales se emplean para el diagnóstico de la miopía e hipermetropía por medio de la evaluación de los lentes sin tener contacto directo con los pacientes. Al aplicar el modelo matemático propuesto, y de acuerdo con los datos experimentales, se obtuvieron resultados óptimos en su incertidumbre máxima expandida de aproximadamente 0,0079 dioptrías en una lente de 0,5 dioptrías, comparados con el reporte realizado por los autores, dado que su trabajo reporta una incertidumbre máxima expandida cercana 0,0086 dioptrías, obteniendo como conclusión que la aplicación de este procedimiento científico permite a los fabricantes, y a los usuarios de este tipo de lentes, una confiabilidad en sus mediciones por medio de un proceso de calibración basado en la óptica geométrica en torno a la seguridad del paciente.	es-ES
dc.format	application/pdf
dc.format	application/zip
dc.format	text/xml
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dc.identifier	https://revistas.itm.edu.co/index.php/tecnologicas/article/view/1910
dc.identifier	10.22430/22565337.1910
dc.identifier.uri	https://hdl.handle.net/20.500.12622/7788
dc.language	eng
dc.publisher	Instituto Tecnológico Metropolitano (ITM)	es-ES
dc.relation	https://revistas.itm.edu.co/index.php/tecnologicas/article/view/1910/2187
dc.relation	https://revistas.itm.edu.co/index.php/tecnologicas/article/view/1910/2196
dc.relation	https://revistas.itm.edu.co/index.php/tecnologicas/article/view/1910/2197
dc.relation	https://revistas.itm.edu.co/index.php/tecnologicas/article/view/1910/2200
dc.relation	/ref/O. Tobón; V. Rodríguez, “Desarrollo y estandarización de métodos de calibración para equipos utilizados en salud visual (Queratómetros, Lensómetros y Tonómetros), implementados en el Hospital Universitario de San Vicente Fundación”, RIB, vol. 11, no. 22, pp. 21-28, Oct. 2017. https://doi.org/10.24050/19099762.n22.2017.1179
dc.relation	/ref/Ministerio De Salud Y Protección Social, “Resolución Número 3100 De 2019”. 2019. http://suin-juriscol.gov.co/viewDocument.asp?ruta=Resolucion/30039964
dc.relation	/ref/A. F. Ramirez Barrera; J. F. Martínez Gómez; E. Hidalgo Vásquez, “Modelo de gestión para la aplicación del control metrológico legal y la evaluación de la conformidad en equipos biomédicos”, RIB, vol. 11, no. 21, pp. 73-80, Jun. 2017. https://doi.org/10.24050/19099762.n21.2017.1175
dc.relation	/ref/Joint Committee for Guides in Metrology, “JCGM 100: Evaluation of measurement data – Guide to the expression of uncertainty in measurement”, 2008. https://www.bipm.org/documents/20126/2071204/JCGM_100_2008_E.pdf/cb0ef43f-baa5-11cf-3f85-4dcd86f77bd6
dc.relation	/ref/M. R. de Paiva; O. Pohlmann-Filho; A. Soratto, “Prospection for metrological control in medical scales and sphygmomanometers in the state of Santa Catarina – Brazil”, J. Phys.: Conf. Ser, vol. 575, no. 1, pp. 24-27. Nov. 2013. https://iopscience.iop.org/article/10.1088/1742-6596/575/1/012047
dc.relation	/ref/A. F. Ramírez-Barrera; E. Delgado-Trejos; V. Ramírez-Gómez, “Uncertainty estimation in the sphygmomanometers calibration according to OIML R16-1 from a legal metrology perspective”, IyU, vol. 25, p. 25, Oct. 2021. https://doi.org/10.11144/javeriana.iued25.uesc
dc.relation	/ref/A. Badnjević; L. Gurbeta; D. Bošković; Z. Džemić, “Medical devices in legal metrology”, En 4th Mediterr. Conf. Embed. Comput. MECO, Budva, 2015, pp. 365–367. https://doi.org/10.1109/MECO.2015.7181945
dc.relation	/ref/J. J. Cárdenas-Monsalve; A. F. Ramírez-Barrera; E. Delgado-Trejos, “Evaluación y aplicación de la incertidumbre de medición en la determinación de las emisiones de fuentes fijas: una revisión”, TecnoLógicas, vol. 21, no. 42, pp. 231–244, May. 2018. https://doi.org/10.22430/22565337.790
dc.relation	/ref/J. Zhang; W. Liu; M. Gao; X. Ding, “Metrological calibration of ophthalmometers”, En8th Int. Conf. Biomed. Eng. Informatics, BMEI, Shenyang, 2015, pp. 360–365. https://doi.org/10.1109/BMEI.2015.7401530
dc.relation	/ref/N. E. Norrby et al., “Accuracy in determining intraocular lens dioptric power assessed by interlaboratory tests.”, J. Cataract Refract. Surg., vol. 22, no. 7, pp. 983–993, Sep. 1996. https://doi.org/10.1016/s0886-3350(96)80204-5
dc.relation	/ref/W. Yang et al., “Research on focal length measurement scheme of self-collimating optical instrument based on double grating”, Sensors, vol. 20, no. 9, May. 2020. https://doi.org/10.3390/s20092718
dc.relation	/ref/R. K. Choudhary; S. M. Hazarika; R. S. Sirohi, “Talbot interferometry for focal length measurement using linear and circular gratings”, Springer Proc. Phys., vol. 194, pp. 639–647, Sep. 2017. https://doi.org/10.1007/978-981-10-3908-9_80
dc.relation	/ref/J. A. Sousa; A. M. Reynolds; Á. S. Ribeiro, “A comparison in the evaluation of measurement uncertainty in analytical chemistry testing between the use of quality control data and a regression analysis”, Accredit. Qual. Assur., vol. 17, no. 2, pp. 207–214, Jan. 2012. https://doi.org/10.1007/s00769-011-0874-y
dc.relation	/ref/Y. Nakano; K. Murata, “Talbot interferometry for measuring the focal length of a lens”, Appl. Opt., vol. 24, no. 19, pp. 3162-3166, Oct. 1985. https://doi.org/10.1364/AO.24.003162
dc.relation	/ref/P. Singh; M. S. Faridi; C. Shakher; R. S. Sirohi, “Measurement of focal length with phase-shifting Talbot interferometry”, Appl. Opt., vol. 44, no. 9, pp. 1572–1576, Mar. 2005. https://doi.org/10.1364/AO.44.001572
dc.relation	/ref/16] L. M. Bernardo; O. D. D. Soares, “Evaluation of the focal distance of a lens by Talbot interferometry”, Appl. Opt., vol. 27, no. 2, pp. 296-301, Jan. 1988. https://doi.org/10.1364/AO.27.000296
dc.relation	/ref/K. V. Sriram; M. P. Kothiyal; R. S. Sirohi, “Direct determination of focal length by using Talbot interferometry”, Appl. Opt., vol. 31, no. 28, pp. 5984-5987, Oct. 1992. https://doi.org/10.1364/AO.31.005984
dc.relation	/ref/G. Yang; L. Miao; X. Zhang; C. Sun; Y. Qiao. “High-accuracy measurement of the focal length and distortion of optical systems based on interferometry”, Appl Opt., vol. 57, no. 18, pp. 5217-5223, Jun. 2018. https://doi.org/10.1364/AO.57.005217
dc.relation	/ref/I. Glatt; O. Kafri, “Determination of the focal length of nonparaxial lenses by moire deflectometry”, Appl. Opt., vol. 26, no. 13, pp. 2507-2508, Jul. 1987. https://doi.org/10.1364/AO.26.002507
dc.relation	/ref/S. Trivedi; J. Dhanotia; S. Prakash, “Measurement of focal length using phase shifted moiré deflectometry”, Opt. Lasers Eng., vol. 51, no. 6, pp. 776–782, Jun. 2013. https://doi.org/10.1016/j.optlaseng.2013.01.018
dc.relation	/ref/E. Keren; K. M. Kreske; O. Kafri, “Universal method for determining the focal length of optical systems by moire deflectometry”, Appl. Opt., vol. 27, no. 8, pp. 1383-1385, Apr. 1988. https://doi.org/10.1364/AO.27.001383
dc.relation	/ref/S. De Nicola; P. Ferraro; A. Finizio; G. Pierattini, “Reflective grating interferometer for measuring the focal length of a lens by digital moiré effect”, Opt. Commun., vol. 132, no. 5–6, pp. 432–436, Dec. 1996. https://doi.org/10.1016/0030-4018(96)00391-4
dc.relation	/ref/Y. P. Kumar; S. Chatterjee, “Technique for the focal-length measurement of positive lenses using Fizeau interferometry”, Appl. Opt., vol. 48, no. 4, pp. 730–736, Jan. 2009. https://doi.org/10.1364/AO.48.000730
dc.relation	/ref/L. Angel; M. Tebaldi; R. Henao, “Phase stepping in Lau interferometry”, Opt. Commun., vol. 164, no. 4-6, pp. 247–255, Jun. 1999. https://doi.org/10.1016/S0030-4018(99)00172-8
dc.relation	/ref/M. Thakur; C. Shakher, “Evaluation of the focal distance of lenses by white-light Lau phase interferometry”, Appl. Opt., vol. 41, no. 10, pp. 1841-1845, Apr. 2002. https://doi.org/10.1364/AO.41.001841
dc.relation	/ref/M. de Angelis; S. De Nicola; P. Ferraro; A. Finizio; G. Pierattini, “A new approach to high accuracy measurement of the focal lengths of lenses using a digital Fourier transform”, Opt. Commun., vol. 136, no. 5–6, pp. 370–374, Apr. 1997. https://doi.org/10.1016/S0030-4018(96)00730-4
dc.relation	/ref/L. Chen; J. Hong; Y. Qiao; X. Zheng; X. Sun, “Theoretical analysis of collimators on the geometrical calibration of wide field-of-view radiometer”, Optik, vol. 121, no. 3, pp. 302–305, Feb. 2010. https://doi.org/10.1016/j.ijleo.2008.02.028
dc.relation	/ref/S. De Nicola; P. Ferraro; A. Finizio; G. Pierattini, “Reflective grating interferometer for measuring the focal length of a lens by digital moire effect”, Opt. Commun., vol. 132, no. 5–6, pp. 432–436, 1996. https://doi.org/10.1016/0030-4018(96)00391-4
dc.relation	/ref/D. Fantanas; A. Brunton; S. J. Henley; R. A. Dorey, “Investigation of the mechanism for current induced network failure for spray deposited silver nanowires”, Nanotechnology, vol. 29, no. 46, p. 465705. Sep. 2018. https://doi.org/10.1088/1361-6528/aadeda
dc.relation	/ref/E. H. K. Stelzer; S. Grill, “The uncertainty principle applied to estimate focal spot dimensions”, Opt. Commun., vol. 132, no. 1–6, pp. 51-56, Jan. 2000. https://doi.org/10.1016/S0030-4018(99)00644-6
dc.relation	/ref/M. Dashtdar; S. Ali Hosseini-Saber, “Focal length measurement based on Fresnel diffraction from a phase plate”, Appl. Opt., vol. 55, no. 26, p. 7434-7437, Sep. 2016. https://doi.org/10.1364/AO.55.007434
dc.relation	/ref/M. Azpurua; C. Tremola; E. J. Paez, “Comparison of the GUM and Monte Carlo Methods for the Uncertainty Estimation In Electromagnetic Compatibility Testing”, Prog. Electromagn. Res. B, vol. 34, pp. 125-144, 2011. http://www.jpier.org/PIERB/pier.php?paper=11081804
dc.relation	/ref/O. Sima; M. C. Lépy, “Application of GUM Supplement 1 to uncertainty of Monte Carlo computed efficiency in gamma-ray spectrometry”, J. apradiso., vol. 109, pp. 493-499, Mar. 2016. https://doi.org/10.1016/j.apradiso.2015.11.097
dc.relation	/ref/Centro Español de Metrología, “Procedimiento DI-011 para la calibración de flexómetros”, 2021.
dc.rights	Derechos de autor 2021 TecnoLógicas	es-ES
dc.source	TecnoLógicas; Vol. 24 No. 52 (2021); e1910	en-US
dc.source	TecnoLógicas; Vol. 24 Núm. 52 (2021); e1910	es-ES
dc.source	2256-5337
dc.source	0123-7799
dc.subject	Optical metrology	en-US
dc.subject	Calibration function	en-US
dc.subject	Lens power	en-US
dc.subject	Focal length	en-US
dc.subject	Measurement uncertainty	en-US
dc.subject	Metrología óptica	es-ES
dc.subject	Función de Calibración	es-ES
dc.subject	Potencia de la lente	es-ES
dc.subject	Distancia focal	es-ES
dc.subject	incertidumbre de medición	es-ES
dc.title	Method for determining uncertainty and error in the process of ophthalmic lens calibration	en-US
dc.title	Método para la determinación de la incertidumbre y el error en el proceso de calibración de lentes oftálmicas	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Research Papers	en-US
dc.type	Artículos de investigación	es-ES