Objective To investigate the shapes of corneal anterior and posterior surfaces and use these shapes in mathematical models of the myopic eyes of adult Chinese.Methods This was a numerical Simulation.Four hundred ninety-four corneal topographies of myopic patients were measured with an Orbscan Ⅱ Z.The specified points of the X-,Y-,Z-axis coordinate values of the anterior and posterior corneal surfaces were calculated from the Orbscan Ⅱ Z data and imported for modeling using SAS 8.01.Ninety percents of the eyes were randomly selected from each group for modeling.The anterior and posterior corneal surface shapes were fitted using SAS 8.01 statistical software by a non-linear regression method using the relevant parameters of the corneal surface data.Front corneal refractive powers from 40.00 D to 47.00 D were divided into 7 groups based on 1.00 D intervals.The Z coordinate values of the remaining 10% of the eyes from each group were predicted based on the mathematical models.The predicted results and the actual values were compared using correlations.Results An ellipsoid was found to fit all corneal anterior surfaces and 93.9% of the posterior surfaces of myopic adults.The corneal posterior surfaces were parabaloid in 5.1% of the cases and were hyperbolic in 1.0%.Fourteen mathematical models were demonstrated to fit the anterior and posterior corneal surface data.The correlation coefficient for the Z-axis coordinates of the predicted results and the actual values was r>0.99 (P<0.01).Conclusion An ellipsoid is found to fit all corneal anterior surfaces and a majority of the posterior surfaces in myopic adults.Precise anterior and posterior corneal surface mathematical models could be established by reasonable groupings and a non-linear regression method.
符爱存,包芳军,王晓幸,王勤美. 近视成年国人角膜的形态及数学模型研究[J]. 中华眼视光学与视觉科学杂志, 2011, 13(6): 426-430.
FU Ai-cun,BAO Fang-jun,WANG Xiao-xing,WANG Qin-mei. Measurement of corneal shape and its use in mathematical models of adult Chinese myopic eyes. Chinese Journal of Optometry Ophthalmology and Visual science, 2011, 13(6): 426-430. DOI: 10.3760/cma.j.issn.1674-845X.2011.06.007