目的:研究客观表达上眼睑轮廓对称性的最合适的数学公式。
方法:研究纳入31例患者的62只眼。患者的上眼睑轮廓对称性被主观归类为不良(与MR1无关),可接受,并由三名眼塑专家(高级,专家,和初级外科医生)。用ImageJ软件绘制上眼睑轮廓的贝塞尔曲线(NIH,贝塞斯达,MA,美国)。使用作者SKC在Spyder中创建的算法(Python3.7.9.),根据y轴获得左眼睑的贝塞尔曲线的对称性,两只眼睛的中瞳孔重叠。较低的曲线垂直移动到与另一条曲线相同的高度,以使MRD1相等。R2(测定系数),RMSE(均方根误差),MSE(均方误差),POC(协同效率百分比),并计算MAE(平均绝对误差)。我们使用Spearman的rho(ρ)评估了这些客观公式与三名外科医生的主观评分之间的相关性。
结果:所有外科医生分级的RMSE和MSE的相关系数相同。高级外科医生的主观评分(N;差=8,可接受=16,好=8)与R2,RMSE,POC,MAE(分别为ρ=0.643,p<0.001,ρ=-0.607,p<0.001,ρ=0.562,p<0.001,ρ=-0.517,p<0.001)。我们发现专家外科医生的主观评分(N;差=9,可接受=13,好:10)和R2(ρ=0.611,p<0.001)之间存在很强的关系,RMSE(ρ=-0.549,p<0.001),POC(ρ=0.511,p<0.001),和MAE(ρ=-0.450,p<0.05)。我们发现初级外科医生的主观评分(N;差=6,可接受=18,好=8)和R2,RMSE,和POC(ρ:-0.517,p<0.001;ρ:-0.470,p<0.001;ρ:0.521,p<0.001;分别)和MAE之间的中等相关性(ρ:-0.394,p<0.05)。用R2观察到最高的相关性。
结论:RMSE,MSE,POC,MAE,尤其是R2,可以定量表达上眼睑轮廓对称性,与眼整形外科医生相当。在高级外科医生和R2之间观察到最高的相关性,并且随着外科医生的经验而降低。
OBJECTIVE: Investigate the most appropriate mathematical formula to objectively express upper eyelid contour symmetry.
METHODS: 62 eyes of 31 patients were included in the study. The upper eyelid contour symmetry of the patients was classified subjectively (independent of MRD1) as poor, acceptable, and good by three oculoplastic specialists (senior, expert, and junior surgeon). Bézier curves of the upper lid contour were drawn with ImageJ software (NIH, Bethesda, MA, USA). Using the algorithms created by Author SKC in Spyder (Python 3.7.9.), the symmetry of the Bézier curves of the left eyelids were obtained according to the y-axis, and the mid-pupils of both eyes were superimposed. The lower curve moved vertically to the equal height of the other curve to equalize MRD1\'s. R2 (Coefficient of determination), RMSE (Root-mean-square error), MSE (Mean squared error), POC (Percentage of co-efficiency), and MAE (Mean absolute error) were calculated. We evaluated the correlation between these objective formulas and the subjective grading of three surgeons using Spearman\'s rho (ρ).
RESULTS: The correlation coefficient of RMSE and MSE were the same for all surgeons grading. There was a strong correlation between the senior surgeon\'s subjective scoring (N; poor = 8, acceptable = 16, good = 8) and R2, RMSE, POC, MAE (ρ = 0.643, p < 0.001, ρ = -0.607, p < 0.001, ρ = 0.562, p < 0.001, ρ = -0.517, p < 0.001, respectively). We found a strong relationship between the expert surgeon\'s subjective scoring (N; poor = 9, acceptable = 13, good:10) and R2 (ρ = 0.611, p < 0.001), RMSE (ρ = -0.549, p < 0.001), POC (ρ = 0.511, p < 0.001), and MAE (ρ = -0.450, p < 0.05). We found a strong correlation between junior surgeon\'s subjective scoring (N; poor = 6, acceptable = 18, good = 8) and R2, RMSE, and POC (ρ: -0.517, p < 0.001; ρ: -0.470, p < 0.001; ρ: 0.521, p < 0.001; respectively) and moderate correlation between MAE (ρ:-0.394, p < 0.05). The highest correlation is observed with R2.
CONCLUSIONS: RMSE, MSE, POC, MAE, and especially R2, may quantitatively express upper eyelid contour symmetry, comparable with the oculoplastic surgeon. The highest correlation was observed between the senior surgeon and R2, and decreases with the experience of the surgeon.