Vecto-keratometry: determination of anterior corneal astigmatism in manual keratometers using power vectors

References

• Rio-Cristobal A, Martin R. Corneal assessment technologies: current status. Surv Ophthalmol. 2014;59(6):599–614.
   PubMed Web of Science ®Google Scholar
• Gutmark R, Guyton DL. Origins of the keratometer and its evolving role in ophthalmology. Surv Ophthalmol. 2010;55(5):481–497.
   PubMed Web of Science ®Google Scholar
• Grosvenor T, Quintero S, Perrigin DM. Predicting refractive astigmatism: a suggested simplification of javalʼs rule. Am J Optom Physiol Opt. 1988;65(4):292–297.
   PubMedGoogle Scholar
• Mote HG, Fry GA. The significance of Javal’s rule. Optom Vis Sci. 1939;16(10):362–365.
   Google Scholar
• Cheung SW, Cho P, Chan B. Astigmatic changes in orthokeratology. Optom Vis Sci. 2009;86(12):1352–1358.
   PubMed Web of Science ®Google Scholar
• Srivannaboon S, Chirapapaisan C. Comparison of refractive outcomes using conventional keratometry or total keratometry for IOL power calculation in cataract surgery. Graefes Arch Clin Exp Ophthalmol. 2019;257(12):2677–2682.
   PubMed Web of Science ®Google Scholar
• Bennett AG, Rabbetts RB. What radius does the conventional keratometer measure? Ophthalmic Physiol Opt. 1991;11(3):239–247. DOI:10.1111/j.1475-1313.1991.tb00539.x.
   PubMed Web of Science ®Google Scholar
• Mandell R. Jesse Ramsden: inventor of the ophthalmometer. Am J Optom Arch Am Acad Optom. 1960;37(12):633–638.
   PubMedGoogle Scholar
• Helmholtz H. Ueber die Accommodation des Auges. Albrecht von Graefes Archiv für Ophthalmologie. 1855;2(1):1–74.
   Google Scholar
• Javal E. Memoires d’ophthalmometrie. In: Masson, G, editor. Libraire de L’Academie de Medecine. Paris;1890p. 131–140.
   Google Scholar
• Piñero DP. Technologies for anatomical and geometric characterization of the corneal structure and anterior segment: a review. Semin Ophthalmol. 2015;30(3):161–170.
   PubMed Web of Science ®Google Scholar
• Seitz B, Behrens A, Langenbucher A. Corneal topography. Curr Opin Ophthalmol. 1997;8(4):8–24.
   PubMedGoogle Scholar
• Bullimore MA, Buehren T, Bissmann W. Agreement between a partial coherence interferometer and 2 manual keratometers. J Cataract Refract Surg. 2013;39(10):1550–1560.
   PubMed Web of Science ®Google Scholar
• Horner DG, Salmon TO, Soni PS. Chapter 17 - corneal topography. In: WJ B, Borish I, Consultant, editors. Borish’s clinical refraction. Second Edition Second Edi: Elsevier Health Sciences. 2006. p. 645–681.
   Google Scholar
• Lee H, Chung JL, Kim EK, et al. Univariate and bivariate polar value analysis of corneal astigmatism measurements obtained with 6 instruments. J Cataract Refract Surg. 2012;38(9):38. DOI:10.1016/j.jcrs.2012.04.035
   Web of Science ®Google Scholar
• Muñoz-Escrivá L, Furlan WD. Statistical analysis when dealing with astigmatism: assessment of different spherocylindrical notations. Ophthalmic Epidemiol. 2001;8(1):27–37.
   PubMedGoogle Scholar
• Thibos LN, Wheeler W, Horner D. Power vectors: an application of Fourier analysis to the description and statistical analysis of refractive error. Optom Vis Sci. 1997;74(6):367–375. DOI:10.1097/00006324-199706000-00019.
   PubMed Web of Science ®Google Scholar
• Thibos LN, Horner D. Power vector analysis of the optical outcome of refractive surgery. J Cataract Refract Surg. 2001;27(1):80–85.
   PubMed Web of Science ®Google Scholar
• Little J-A, Woodhouse JM, Saunders KJ. Corneal power and astigmatism in down syndrome. Optom Vis Sci. 2009;86(6):748–754.
   PubMed Web of Science ®Google Scholar
• Hugger P, Kohnen T, la Rosa FA, et al. Comparison of changes in manifest refraction and corneal power after photorefractive keratectomy. Am J Ophthalmol. 2000;129(1):68–75. DOI:10.1016/S0002-9394(99)00268-8
   PubMed Web of Science ®Google Scholar
• Harris WF. Astigmatism. Ophthalmic Physiol Opt. 2000;20(1):11–30.
   PubMed Web of Science ®Google Scholar
• Raasch TW. Spherocylindrical refractive errors and visual acuity. Optom Vis Sci. 1995;72(4):272–275.
   PubMed Web of Science ®Google Scholar
• Alió JL, Piñero DP, Tomás J, et al. Vector analysis of astigmatic changes after cataract surgery with toric intraocular lens implantation. J Cataract Refract Surg. 2011;37(6):1038–1049. DOI:10.1016/j.jcrs.2010.12.053
   PubMed Web of Science ®Google Scholar
• Raasch T. Clinical refraction in three-dimensional dioptric space revisited. Optom Vis Sci. 1997;74(6):376–380.
   PubMed Web of Science ®Google Scholar
• Clinical and Laboratory Standars Institute. EP09A3-measurement procedure comparison and bias estimation using patient samples approved guideline Third Edition. 2013. Available at: https://clsi.org/standards/products/method-evaluation/documents/ep09/. Accessed Feb 4, 2022.
   Google Scholar
• Mehravaran S, Asgari S, Bigdeli S, et al. Keratometry with five different techniques: a study of device repeatability and inter-device agreement. Int Ophthalmol. 2014;34(4):869–875. DOI:10.1007/s10792-013-9895-3
   PubMed Web of Science ®Google Scholar
• Rosenfield M, Portello JK. Multi-meridional keratometry. Ophthalmic Physiol Opt. 1996;16(1):83–85. DOI:10.1046/j.1475-1313.1996.95000275.x.
   PubMed Web of Science ®Google Scholar
• Hashemi H, Yekta A, Khabazkhoob M. Effect of keratoconus grades on repeatability of keratometry readings: comparison of 5 devices. J Cataract Refract Surg. 2015;41(5):1065–1072.
   PubMed Web of Science ®Google Scholar
• Micó V, Albarrán-Diego C, Thibos L. Chapter II in astigmatism: types, diagnosis and treatment options. Buckley R, editor. Power vectors for the management of astigmatism: from theoretical to clinical applications. NY(NY):Nova Science Publishers Inc.;2014p. 27–80.
   Google Scholar
• Martin Bland J, Altman DG. Statistical methods for assessing agreement between two methods of clinical measurement. Lancet. 1986;327(8476):307–310.
   Web of Science ®Google Scholar
• Passing H, Bablok W. A new biometrical procedure for testing the equality of measurements from two different analytical methods. application of linear regression procedures for method comparison studies in clinical chemistry, part I. Clin Chem Lab Med. 2009;21(11):709–720.
   Google Scholar
• Padoan A Passing and bablok regression. MATLAB Central File Exchange 2021. Available at: https://www.mathworks.com/matlabcentral/fileexchange/24894-passing-and-bablok-regression. Accessed Jan 21, 2022.
   Google Scholar
• Kawahara A, Takayanagi Y. Vector analysis investigation of toric intraocular lens with no deviation from the intended axis. Clin Ophthalmol. 2016;10:2199–2203.
   PubMedGoogle Scholar
• Visser N, Berendschot TTJM, Bauer NJC, et al. Vector analysis of corneal and refractive astigmatism changes following toric pseudophakic and toric phakic IOL implantation. Invest Ophthalmol Vis Sci. 2012;53(4):1865–1873. DOI:10.1167/iovs.11-8868
   PubMed Web of Science ®Google Scholar
• Kang P, Swarbrick H. Discontinuation of long term orthokeratology lens wear and subsequent refractive surgery outcome. Cont Lens Anterior Eye. 2017;40(6):436–439.
   PubMed Web of Science ®Google Scholar
• Muñoz-Escrivá L, Furlan WD. Subjective refraction techniques in the frame of the three-dimensional dioptric space. Optom Vis Sci. 2001;78(2):106–112.
   PubMed Web of Science ®Google Scholar
• María Revert A, Conversa MA, Albarrán Diego C, et al. An alternative clinical routine for subjective refraction based on power vectors with trial frames. Ophthalmic Physiol Opt. 2017;37(1):24–32. DOI:10.1111/opo.12343
   PubMed Web of Science ®Google Scholar
• Ferrer-Altabás S, Sanz-Sabater M, Micó V. Vectofocimetry: dioptric power measurement in manual focimeters using power vectors. Opt Lasers Eng. 2021;146:106703.
   Web of Science ®Google Scholar
• Harris WF. Interconverting the matrix and principal meridional representations of dioptric power in general including powers with nonorthogonal and complex principal meridians. Ophthalmic Physiol Opt. 2001;21(3):247–252.
   PubMed Web of Science ®Google Scholar
• Abelman H. Converting principal meridional representation of power to the coordinates of the power matrix using the matrix similarity transform. Ophthalmic Physiol Opt. 2006;26(4):426–430.
   PubMed Web of Science ®Google Scholar