Div. Exp. Ophthalmic Surgery and Refractive Surgery, Dept. of Ophthalmology, University Tuebingen, Germany.
Div. Exp. Ophthalmic Surgery and Refractive Surgery, Dept. of Ophthalmology, University Tuebingen, Germany.
Z Med Phys. 2023 May;33(2):182-191. doi: 10.1016/j.zemedi.2022.07.001. Epub 2022 Aug 10.
Our study presents a digitised tangent screen test for ocular motility analysis according to the Harms and Hess tests (measurement of the squint angle in all fields of vision). This test uses an image beamer to display the tangent screen, a position sensor to measure the patient's head orientation, and a distance sensor to measure the fixation distance. Digital measurement of head orientation allows for a test procedure that eliminates the conventional requirement for a light pointer in the patient's hand. Thus, the digital screen test is presented, and the uncertainty of the measurement system is evaluated.
A mathematical relationship was given between the measured squint angles, as well as the angle of diagnostic gaze direction, and the influence quantities on their measurement uncertainty. The individual uncertainties resulted from deviations in the measured values by the position and distance sensors, the calibration of the projection image of the beamer in length units, and the finite image resolution of the beamer. The individual standard uncertainties of the influence quantities were determined. The combined standard measurement uncertainties of the squint and gaze direction angles were given based on the model equation of the error propagation law at the tangent table according to Harms at a test distance of 2.5 m. The patient's uncertainty contribution to the mobility analysis was not considered.
The combined standard uncertainty of the measurement system (coverage factor k = 2 for 95% confidence level) for the squint angle is ≤ 0.43° for the angle of diagnostic gaze direction ≤ 3.13° at the test distance of 2.5 m. The individual standard uncertainties of the influence quantities on the angles are (k = 1): 1.55°/1.01° (horizontal/vertical angle of the position sensor), 0.19° (distance sensor), 0.06° (calibration of the projection image of the beamer), and 0.02° (image resolution of the beamer). The maximum valid test distance of the digital screen test is 3.8 m.
The digital screen test is compact and can be used at different locations. Compared to the traditional test, the time required for examination via the digitised test is less; additionally, its documentation is simplified. The measurement uncertainty of the diagnostic gaze direction angle is dominated by the sensor drift of the position sensor in the horizontal direction (yaw angle) and is due to the sensor technology. However, this drift error does not affect the squint angle measurement result nor its measurement uncertainty because the measurement principle used here is based on the congruence between the position cross and the fixation object and the confusion principle and compensates for the drift error. The measurement uncertainties of the determined measurement system are the lower limits of the uncertainties in the clinical use of the digital screen test if there are no effects due to significant patient deviations.
我们的研究提出了一种数字化切线屏测试,用于根据 Harms 和 Hess 测试(测量所有视野中的斜视角度)进行眼动分析。该测试使用图像投影仪显示切线屏,使用位置传感器测量患者头部的方向,使用距离传感器测量注视距离。头部方向的数字测量允许测试过程消除患者手中的传统光指针要求。因此,提出了数字屏幕测试,并评估了测量系统的不确定度。
给出了测量斜视角度以及诊断注视方向角度与测量不确定度的影响量之间的数学关系。位置和距离传感器测量值的偏差、投影仪投射图像的长度单位校准以及投影仪有限的图像分辨率导致了个别不确定度。确定了影响量的个别标准不确定度。根据 Harms 在 2.5m 测试距离下的切线表误差传播定律模型方程,给出了斜视和注视方向角度的综合标准测量不确定度。未考虑患者对运动分析的不确定度贡献。
在 2.5m 测试距离下,当诊断注视方向角度≤3.13°时,测量系统的综合标准不确定度(置信水平 95%时覆盖因子 k=2)对于斜视角度≤0.43°。影响角度的个别标准不确定度为(k=1):1.55°/1.01°(位置传感器的水平/垂直角度)、0.19°(距离传感器)、0.06°(投影仪投射图像的校准)和 0.02°(投影仪的图像分辨率)。数字屏幕测试的最大有效测试距离为 3.8m。
数字屏幕测试紧凑,可在不同地点使用。与传统测试相比,数字化测试的检查时间更短;此外,其文档简化了。诊断注视方向角度的测量不确定度主要由位置传感器在水平方向(偏航角)的传感器漂移引起,这是由于传感器技术造成的。然而,由于这里使用的测量原理基于位置交叉与固定物体的一致性和混淆原理,并且补偿了漂移误差,因此该漂移误差不会影响斜视角度测量结果及其测量不确定度。如果没有由于显著的患者偏差引起的影响,那么确定的测量系统的测量不确定度就是数字屏幕测试临床应用中不确定度的下限。