中华眼视光学与视觉科学杂志
中華眼視光學與視覺科學雜誌
중화안시광학여시각과학잡지
CHINESE JOURNAL OF OPTOMETRY OPHTHALMOLOGY AND VISUAL SCIENCE
2011年
6期
426-430
,共5页
符爱存%包芳军%王晓幸%王勤美
符愛存%包芳軍%王曉倖%王勤美
부애존%포방군%왕효행%왕근미
模型,统计学%回归分析%角膜%近视
模型,統計學%迴歸分析%角膜%近視
모형,통계학%회귀분석%각막%근시
Model,statistical%Regression analysis%Cornea%Myopia
目的 研究近视成年国人角膜的前、后表面形态并建立其数学模型.方法 数字模拟研究.用OrbscanⅡZ采集494只近视眼角膜前、后表面的地形图数据,计算得到角膜前、后表面各特定点三维坐标值(X值、Y值、Z值)并且导入统计学软件SAS 8.01,用非线性回归法拟合判断单眼角膜前、后表面形态并分析其相关因素.以1.00 D为梯度将角膜前表面屈光力为40.00～47.00 D的眼分为7组,随机选择每一组90％的眼,以非线性回归法拟合每一组角膜前、后表面的通用数学方程;根据通用数学方程预测每一组剩余10％的眼的角膜前、后表面各特定点的Z轴坐标值,将预测和实测的各Z轴坐标值用SPSS软件进行相关性检验,判断拟合方程的质量.结果 近视成年国人角膜前表面均为椭球面,后表面93.9％为椭球面,5.1％为椭圆抛物面,1.0％为双叶双曲面.计算得到7组角膜前、后表面共14个数学模型.角膜前、后表面所有Z轴坐标的预测值与实测值的相关系数r均＞0.99(P＜0.01).结论 近视成年国人角膜的前表面和绝大多数后表面均为椭球面；运用合理的分组和非线性回归拟合,可建立较为精确的近视成年国人角膜的数学模型.
目的 研究近視成年國人角膜的前、後錶麵形態併建立其數學模型.方法 數字模擬研究.用OrbscanⅡZ採集494隻近視眼角膜前、後錶麵的地形圖數據,計算得到角膜前、後錶麵各特定點三維坐標值(X值、Y值、Z值)併且導入統計學軟件SAS 8.01,用非線性迴歸法擬閤判斷單眼角膜前、後錶麵形態併分析其相關因素.以1.00 D為梯度將角膜前錶麵屈光力為40.00～47.00 D的眼分為7組,隨機選擇每一組90％的眼,以非線性迴歸法擬閤每一組角膜前、後錶麵的通用數學方程;根據通用數學方程預測每一組剩餘10％的眼的角膜前、後錶麵各特定點的Z軸坐標值,將預測和實測的各Z軸坐標值用SPSS軟件進行相關性檢驗,判斷擬閤方程的質量.結果 近視成年國人角膜前錶麵均為橢毬麵,後錶麵93.9％為橢毬麵,5.1％為橢圓拋物麵,1.0％為雙葉雙麯麵.計算得到7組角膜前、後錶麵共14箇數學模型.角膜前、後錶麵所有Z軸坐標的預測值與實測值的相關繫數r均＞0.99(P＜0.01).結論 近視成年國人角膜的前錶麵和絕大多數後錶麵均為橢毬麵；運用閤理的分組和非線性迴歸擬閤,可建立較為精確的近視成年國人角膜的數學模型.
목적 연구근시성년국인각막적전、후표면형태병건립기수학모형.방법 수자모의연구.용OrbscanⅡZ채집494지근시안각막전、후표면적지형도수거,계산득도각막전、후표면각특정점삼유좌표치(X치、Y치、Z치)병차도입통계학연건SAS 8.01,용비선성회귀법의합판단단안각막전、후표면형태병분석기상관인소.이1.00 D위제도장각막전표면굴광력위40.00～47.00 D적안분위7조,수궤선택매일조90％적안,이비선성회귀법의합매일조각막전、후표면적통용수학방정;근거통용수학방정예측매일조잉여10％적안적각막전、후표면각특정점적Z축좌표치,장예측화실측적각Z축좌표치용SPSS연건진행상관성검험,판단의합방정적질량.결과 근시성년국인각막전표면균위타구면,후표면93.9％위타구면,5.1％위타원포물면,1.0％위쌍협쌍곡면.계산득도7조각막전、후표면공14개수학모형.각막전、후표면소유Z축좌표적예측치여실측치적상관계수r균＞0.99(P＜0.01).결론 근시성년국인각막적전표면화절대다수후표면균위타구면；운용합리적분조화비선성회귀의합,가건립교위정학적근시성년국인각막적수학모형.
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.
