Twa Michael D, Parthasarathy Srinivasan, Roberts Cynthia, Mahmoud Ashraf M, Raasch Thomas W, Bullimore Mark A
College of Optometry, The Ohio State University, Columbus, 43210, USA.
Optom Vis Sci. 2005 Dec;82(12):1038-46. doi: 10.1097/01.opx.0000192350.01045.6f.
The volume and complexity of data produced during videokeratography examinations present a challenge of interpretation. As a consequence, results are often analyzed qualitatively by subjective pattern recognition or reduced to comparisons of summary indices. We describe the application of decision tree induction, an automated machine learning classification method, to discriminate between normal and keratoconic corneal shapes in an objective and quantitative way. We then compared this method with other known classification methods.
The corneal surface was modeled with a seventh-order Zernike polynomial for 132 normal eyes of 92 subjects and 112 eyes of 71 subjects diagnosed with keratoconus. A decision tree classifier was induced using the C4.5 algorithm, and its classification performance was compared with the modified Rabinowitz-McDonnell index, Schwiegerling's Z3 index (Z3), Keratoconus Prediction Index (KPI), KISA%, and Cone Location and Magnitude Index using recommended classification thresholds for each method. We also evaluated the area under the receiver operator characteristic (ROC) curve for each classification method.
Our decision tree classifier performed equal to or better than the other classifiers tested: accuracy was 92% and the area under the ROC curve was 0.97. Our decision tree classifier reduced the information needed to distinguish between normal and keratoconus eyes using four of 36 Zernike polynomial coefficients. The four surface features selected as classification attributes by the decision tree method were inferior elevation, greater sagittal depth, oblique toricity, and trefoil.
Automated decision tree classification of corneal shape through Zernike polynomials is an accurate quantitative method of classification that is interpretable and can be generated from any instrument platform capable of raw elevation data output. This method of pattern classification is extendable to other classification problems.
视频角膜照相检查过程中产生的数据量和复杂性给解读带来了挑战。因此,结果通常通过主观模式识别进行定性分析,或者简化为汇总指标的比较。我们描述了决策树归纳法(一种自动机器学习分类方法)的应用,以客观、定量的方式区分正常和圆锥角膜的角膜形状。然后我们将这种方法与其他已知分类方法进行了比较。
用七阶泽尼克多项式对92名受试者的132只正常眼睛和71名被诊断为圆锥角膜的受试者的112只眼睛的角膜表面进行建模。使用C4.5算法生成决策树分类器,并将其分类性能与改良的拉宾诺维茨-麦克唐奈指数、施维格林的Z3指数(Z3)、圆锥角膜预测指数(KPI)、KISA%以及圆锥位置和大小指数进行比较,每种方法都使用推荐的分类阈值。我们还评估了每种分类方法的受试者操作特征(ROC)曲线下的面积。
我们的决策树分类器的表现与其他测试分类器相当或更好:准确率为92%且ROC曲线下的面积为0.97。我们的决策树分类器使用36个泽尼克多项式系数中的4个来减少区分正常和圆锥角膜眼睛所需的信息。被决策树方法选为分类属性的四个表面特征分别是下方高度、矢状深度更大、斜向散光和三叶形。
通过泽尼克多项式对角膜形状进行自动决策树分类是一种准确的定量分类方法,具有可解释性,并且可以从任何能够输出原始高度数据的仪器平台生成。这种模式分类方法可扩展到其他分类问题。