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准分子激光穿透性角膜移植术后角膜地形图高度数据的圆锥拟合

Conoidal fitting of corneal topography height data after excimer laser penetrating keratoplasty.

作者信息

Langenbucher Achim, Viestenz Anja, Seitz Berthold

机构信息

Department of Ophthalmology, University of Erlangen-Nürnberg, Schwabachanlage 6, D-91054 Erlangen, Germany.

出版信息

J Refract Surg. 2002 Jan-Feb;18(1):63-71. doi: 10.3928/1081-597X-20020101-10.

Abstract

PURPOSE

To demonstrate a mathematical method for approximation of discrete corneal topography height data with a biconic model surface for better appreciation of the optical performance of the graft after penetrating keratoplasty.

METHODS

In this retrospective study we included 50 eyes of 50 patients (30 keratoconus; 20 Fuchs' dystrophy) undergoing nonmechanical excimer laser penetrating keratoplasty. Conventional keratometry, corneal topography (TMS-1), subjective refraction, and best spectacle-corrected visual acuity (BSCVA) were assessed preoperatively, 3 and 6 months postoperatively, and before/after suture removal. A biconic model surface was fitted to the topographic raw data (8.0-mm region of interest) minimizing the root mean square error and a set of parameters (meridional power, axis, conic constant, and approximation error) was determined. The refractive cylinder was correlated with keratometric power readings, the Simulated Keratometry (SimK) of the topography system, and the respective parameters of the model surface.

RESULTS

Keratometric/SimK astigmatism increased from preoperatively (3.40/4.30 D) to 3 months (4.30/4.80 D) and decreased to 3.40/3.90 D after suture removal. Refractive cylinder/cylinder of the biconic increased slightly from 2.10/2.60 D preoperatively to 3.20/3.30 D after suture removal. The topographic cylinder SimK yielded the highest and the refractive cylinder the lowest values at each follow-up examination. Central keratometric power readings were stable before suture removal and decreased (about 1 D) due to suture removal. The conic constants in both meridional cross-sections changed from a prolate to a spherical shape in the early time course after penetrating keratoplasty and reconverted to a prolate shape after suture removal. Regarding cylinder axis, there was a significant correlation of the model surface with the refractive cylinder at all examination (P < .05) but only a mild correlation of the keratometric and SimK cylinder axis to the refractive cylinder axis at some examination stages.

CONCLUSION

Approximation of corneal topography height data with a biconic model surface renders reconstruction of clinically relevant corneal topography parameters including corneal asphericity with marked data compression. The correlation of amount/axis of refractive cylinder was best represented with the model surface parameters.

摘要

目的

展示一种用双圆锥模型表面逼近离散角膜地形图高度数据的数学方法,以便更好地评估穿透性角膜移植术后移植物的光学性能。

方法

在这项回顾性研究中,我们纳入了50例患者的50只眼(圆锥角膜30例;富克斯营养不良20例),这些患者均接受了非机械性准分子激光穿透性角膜移植术。术前、术后3个月和6个月以及拆线前后分别评估常规角膜曲率测量、角膜地形图(TMS-1)、主观验光和最佳矫正视力(BSCVA)。将双圆锥模型表面拟合到地形原始数据(8.0毫米感兴趣区域),使均方根误差最小化,并确定一组参数(子午线屈光力、轴位、圆锥常数和逼近误差)。将屈光柱镜与角膜曲率计读数、地形系统的模拟角膜曲率(SimK)以及模型表面的相应参数进行相关性分析。

结果

角膜曲率计/SimK散光从术前的(3.40/4.30 D)增加到术后3个月的(4.30/4.80 D),拆线后降至3.40/3.90 D。双圆锥的屈光柱镜/柱镜从术前的2.10/2.60 D略有增加至拆线后的3.20/3.30 D。在每次随访检查中,地形柱镜SimK的值最高,屈光柱镜的值最低。中央角膜曲率计读数在拆线前稳定,拆线后下降(约1 D)。穿透性角膜移植术后早期,两个子午截面的圆锥常数均从长圆形变为球形,拆线后又恢复为长圆形。关于柱镜轴位,在所有检查中模型表面与屈光柱镜均有显著相关性(P <.05),但在某些检查阶段,角膜曲率计和SimK柱镜轴位与屈光柱镜轴位仅有轻度相关性。

结论

用双圆锥模型表面逼近角膜地形图高度数据可实现临床相关角膜地形图参数的重建,包括具有显著数据压缩的角膜非球面性。屈光柱镜的量/轴位与模型表面参数的相关性表现最佳。

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