An exact approach for radius of curvature measurement in a calibration test sphere

• Autorzy: Jalife-Chavira Jaime M. , Trujillo-Schiaffino Gerardo , Mendoza-Villegas Paloma G. , Salas-Peimbert Didia P. , Anguiano-Morales Marcelino , Corral-Martínez Luis F. , Zendejas-Hernández Edgar

Identyfikatory

DOI

10.37190/oa220206

• Języki publikacji: EN

Abstrakty

EN

In this paper we present a technique to measure the radius of curvature of a test sphere based on the relation between acquired images of a circular cosine fringe pattern and size of virtual image formed on the calibration test surface. Radius of curvature is calculated with the exact equation proposed, using the parameters of the optical setup. Fringe pattern evaluation was performed by locating extrema indices. The mathematical formulation as well as the experimental setup and results are presented. After applying a linear fit algorithm to the data as a method of compensation, obtained results show an error within the tolerance established by the ISO 10343 specifications.

Słowa kluczowe

EN

keratometry; radius of curvature; diopter; cosine fringe pattern; film

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2022
• Tom: Vol. 52, nr 2
• Strony: 229--242
• Opis fizyczny: Bibliogr. 38 poz., rys., tab.

Twórcy

autor

Jalife-Chavira Jaime M.

• Tecnológico Nacional de México/Instituto Tecnológico de Chihuahua, División de Estudios de Postgrado e Investigación, Av. Tecnológico #2909 Chihuahua Chih., México, C.P. 31310

autor

Trujillo-Schiaffino Gerardo

• Tecnológico Nacional de México/Instituto Tecnológico de Chihuahua, División de Estudios de Postgrado e Investigación, Av. Tecnológico #2909 Chihuahua Chih., México, C.P. 31310

autor

Mendoza-Villegas Paloma G.

• Tecnológico Nacional de México/Instituto Tecnológico de Chihuahua, División de Estudios de Postgrado e Investigación, Av. Tecnológico #2909 Chihuahua Chih., México, C.P. 31310

autor

Salas-Peimbert Didia P.

• Tecnológico Nacional de México/Instituto Tecnológico de Chihuahua, División de Estudios de Postgrado e Investigación, Av. Tecnológico #2909 Chihuahua Chih., México, C.P. 31310

autor

Anguiano-Morales Marcelino

• Tecnológico Nacional de México/Instituto Tecnológico de Chihuahua, División de Estudios de Postgrado e Investigación, Av. Tecnológico #2909 Chihuahua Chih., México, C.P. 31310

autor

Corral-Martínez Luis F.

• Tecnológico Nacional de México/Instituto Tecnológico de Chihuahua, División de Estudios de Postgrado e Investigación, Av. Tecnológico #2909 Chihuahua Chih., México, C.P. 31310

autor

Zendejas-Hernández Edgar

• Tecnológico Nacional de México/Instituto Tecnológico de Chihuahua, División de Estudios de Postgrado e Investigación, Av. Tecnológico #2909 Chihuahua Chih., México, C.P. 31310

Bibliografia

• [1] REMINGTON L.A., Clinical Anatomy and Physiology of the Visual System, 3th Ed., Elsevier Butterworth-Heinemann, St. Louis, Missouri 2012, p. 21.
• [2] SCHWIEGERLING J., Field Guide to Visual and Ophthalmic Optics, SPIE Press, Bellingham, Washington 2004, p. 23.
• [3] BLOMQUIST P.H., Practical Ophthalmology: A Manual for Beginning Residents, 7th ed., American Academy of Ophthalmology, San Francisco, CA, 2015, p. 53.
• [4] SKUTA G.L., CANTOR L.B., WEISS J.S., Basic and Clinical Science Course, Section 13: Refractive Surgery, American Academy of Ophthalmology, San Francisco, CA, 2012, p. 146.
• [5] YANOFF M., DUKER J.S., Ophthalmology, 3th Ed., Elsevier, New York, 2009, p. 53.
• [6] LOMBARDO M., LOMBARDO G., Wave aberration of human eyes and new descriptors of image optical quality and visual performance, Journal of Cataract & Refractive Surgery 36(2), 2010, pp. 313–331, DOI: 10.1016/j.jcrs.2009.09.026.
• [7] DAVIDOVITS P., Physics in Biology and Medicine, 4th Ed., Academic Press, Burlington, MA, USA, 2013, pp.227.
• [8] YANOFF M., CAMERON D., Goldmans CECIL Medicine, 24th Ed., Elsevier Saunders, Philadelphia, PA, 2013, p. 2428.
• [9] GASSON A., MORRIS J.A., The Contact Lens Manual: A Practical Guide to Fitting, 4th Ed., Butterworth-Heinemann, Oxford, UK, 2010, p. 23.
• [10] EFRON N., Contact Lens Practice, 2nd Ed., Elsevier Health Sciences, New York, 2010, pp. 99–108.
• [11] FRY L., GARG A., GUTIÉRREZ F., PANDEY S., TABIN G., Clinical Practice in Small Incision Cataract Surgery, Taylor & Francis, Boca Raton, FL., 2004, p. 310.
• [12] KASHKE M., DONNERHACKE K.-H., STEFAN M., Optical Devices in Ophthalmology and Optometry: Technology, Design Principles, and Clinical Applications, 1st Ed., Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim, Germany, 2014, pp. 147–276.
• [13] SCHMIDTMANN G., Clinical Vision Science a Concise Guide to Numbers, Laws and Formulas, 1st Ed., Springer, Cham, Switzerland, 2020, pp. 132–136.
• [14] BIKAS BHATTACHARYYA, Textbook of Visual Science and Clinical Optometry, 1st Ed., Jaypee Brothers, Medical Publishers, New Delhi, India, 2009, pp. 265–266.
• [15] BENJAMIN W.J., Borish’s Clinical Refraction, 2nd Ed., Elsevier Health Sciences, St. Louis, Missouri, USA, 2006, p. 647.
• [16] ROSENFIELD M., LOGAN N., Optometry: Science, Techniques and Clinical Management, 2nd Ed., Elsevier Health Sciences, New York, USA 2009, pp. 257–276.
• [17] KEIRL A., CHRISTIE C., Clinical Optics and Refraction: A Guide for Optometrists, Contact Lens Opticians and Dispensing Opticians, 1st Ed., Elsevier Health Sciences, Philadelphia, PA, 2007, pp. 187–189.
• [18] ELKINGTON R., FRANK J., GREANEY J., Clinical Optics, 3th Ed., Wiley 1999, pp. 188–190.
• [19] SKUTA G.L., CANTOR L.B., WEISS J.S., Basic and Clinical Science Course, Section 3: Clinical Optics, American Academy of Ophthalmology, San Francisco, CA, 2012, pp. 263–264.
• [20] PHILLIPS A.J., SPEEDWELL L., Contact Lens, 6th Ed., Elsevier Health Sciences, St. Louis, Missouri, USA, 2019, pp. 158–173.
• [21] ARTAL P., Handbook of Visual Optics, Vol 1: Fundamentals and Eye Optics, CRC Press, Boca Raton, FL, 2017, pp. 103–120.
• [22] SMITH G., ATCHISON D., The Eye and Visual Optical Instruments, 1st Ed., Cambridge University Press, Cambridge, UK, 1997, pp. 245–269.
• [23] CARLSON N., KURTZ D., Clinical Procedures for Ocular Examination, 4th Ed., Mc. Graw Will Education, New York, 2015, pp. 401–402.
• [24] DOUTHWAITE W.A., Contact Lens Optics and Lens Design, 3rd Ed., Butterworth-Heinemann, Oxford, UK, 2006, p. 129.
• [25] MENDOZA-VILLEGAS P.G., TRUJILLO-SCHIAFFINO G., SALAS-PEIMBERT D.P., BUSTILLOS-TRUJILLO A., Method of analysis to measure the tangential curvature in a test sphere, Proceedings of SPIE 7499, 2009, article 74990K, DOI: 10.1117/12.848966.
• [26] MILLODOT M., Dictionary of Optometry and Visual Science, 7th Ed., Elsevier Health Sciences, New York, 2014, p. 229.
• [27] SERVÍN M., QUIROGA J.A., MOISÉS PADILLA J., Fringe Pattern Analysis for Optical Metrology: Theory, Algorithms, and Applications,1st Ed., Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim, Germany, 2014, p. 5.
• [28] KOZLOV Y., WEINKAUF T., Extracting and Filtering Minima and Maxima of 1D Functions, 2012, [https://www.csc.kth.se/~weinkauf/notes/persistence1d.html] (accessed October 15, 2020).
• [29] DERENIAK E., DERENIAK T., Geometrical and Trigonometric Optics, 1st Ed., Cambridge University Press, Cambridge, UK, 2008, pp. 193-225.
• [30] #62-932 Telecentric Lens Data Sheet, Edmund Optics (2014). [https://www.edmundoptics.com/p/05x-23-c-mount-platinumtltrade-telecentric-lens/17562/].
• [31] SMOLIN G., STEPHEN C., AZAR D.T., DOHLMAN C.H., Smolin and Thoft’s The Cornea: Scientific Foundations and Clinical Practice, 4th Ed., Lippincott Williams & Wilkins, Philadelphia, PA, 2005, pp. 169–174.
• [32] KEATING M.P., Geometrical, Physical, and Visual Optics, 2nd Ed., Butterworth-Heinemann, Woburn, MA, 2002, p. 105.
• [33] SPAETH G., DANESH-MEYER H., GOLDBERG I., KAMPIK A., Ophthalmic Surgery Principles and Practice, 4th Ed., Elsevier Saunders, New York, 2012, pp. 179–181.
• [34] GROSVENOR T.P., Primary Care Optometry, 5th Ed., Elsevier Health Sciences, St. Louis Missouri, 2007, pp. 184–188.
• [35] WILKINSON M.E., SHAID K.S., Optics Review, Online Resource, Iowa City, IA: Eye Rounds, University of Iowa, 2017, p. 42.
• [36] BRIGHTBILL F.S., Corneal Surgery: Theory, Technique and Tissue, 4th Ed., MOSBY Elsevier, 2009, pp. 71–73.
• [37] FREEDMAN D., PISANI R., PURVES R., Statistics, 4th Ed., W.W. Norton & Company, London, UK, 2007, p. 66.
• [38] International Standard ISO, 10343:2014(E) Ophthalmic instruments – Ophthalmometers, Geneva, Switzerland, (2014). [https://www.iso.org/standard/59705.html].