Section of Neurobiology of the Eye, Ophthalmic Research Institute, Tuebingen, Germany.
Ophthalmic Physiol Opt. 2013 Nov;33(6):634-41. doi: 10.1111/opo.12086. Epub 2013 Sep 17.
To evaluate measurement errors that are introduced in video eye tracking when pupil centration changes with pupil size.
Software was developed under Visual C++ to track both pupil centre and corneal centre at 87 Hz sampling rate at baseline pupil sizes of 4.75 mm (800 lux room illuminance) and while pupil constrictions were elicited by a flashlight. Corneal centres were determined by a circle fit through the pixels detected at the corneal margin by an edge detection algorithm. Standard deviations for repeated measurements were ± 0.04 mm for horizontal pupil centre position and ± 0.04 mm for horizontal corneal centre positions and ±0.03 mm for vertical pupil centre position and ± 0.05 mm for vertical corneal centre position. Ten subjects were tested (five female, five male, age 25-58 years).
At 4 mm pupil sizes, the pupils were nasally decentred relative to the corneal centre by 0.18 ± 0.19 mm in the right eyes and -0.14 ± 0.22 mm in the left eyes. Vertical decentrations were 0.30 ± 0.30 mm and 0.27 ± 0.29 mm, respectively, always in a superior direction. At baseline pupil sizes (the natural pupil sizes at 800 lux) of 4.75 ± 0.52 mm, the decentrations became less (right and left eyes: horizontal 0.17 ± 0.20 mm and -0.12 ± 0.22 mm, and vertical 0.26 ± 0.28 mm and 0.20 ± 0.25 mm). While pupil decentration changed minimally in eight of the subjects, it shifted considerably in two others. Averaged over all subjects, the shift of the pupil centre position per millimetre pupil constriction was not significant (right and left eyes: -0.03 ± 0.07 mm and 0.03 ± 0.04 mm nasally per mm pupil size change, respectively, and -0.04 ± 0.06 mm and -0.05 ± 0.12 mm superiorly). Direction and magnitude of the changes in pupil centration could not be predicted from the initial decentration at baseline pupil sizes.
In line with data in the literature, the pupil centre was significantly decentred relative to the corneal centre in the nasal and superior direction. Pupil decentration changed significantly with pupil size by 0.05 mm on average for 1 mm of constriction. Assuming a Hirschberg ratio of 12° mm(-1) , a shift of 0.05 mm is equivalent to a measurement error in a Purkinje image-based eye tracker of 0.6°. However, the induced measurement error could also exceed 1.5° in some subjects for only a 1 mm change in pupil size.
评估瞳孔大小变化时视频眼动追踪引入的测量误差。
使用 Visual C++ 开发了软件,以在基线瞳孔大小为 4.75mm(800lux 房间照度)时以 87Hz 的采样率跟踪瞳孔中心和角膜中心,并通过闪光灯诱发瞳孔收缩。角膜中心通过边缘检测算法检测到的角膜边缘像素的圆拟合来确定。水平瞳孔中心位置和水平角膜中心位置的重复测量标准偏差为±0.04mm,垂直瞳孔中心位置和垂直角膜中心位置的标准偏差为±0.03mm和±0.05mm。测试了 10 名受试者(5 名女性,5 名男性,年龄 25-58 岁)。
在 4mm 瞳孔大小下,右眼瞳孔相对于角膜中心向鼻侧偏离 0.18±0.19mm,左眼偏离 0.14±0.22mm。垂直偏离分别为 0.30±0.30mm 和 0.27±0.29mm,均向上。在基线瞳孔大小(800lux 时的自然瞳孔大小)为 4.75±0.52mm 时,偏心率变小(右眼和左眼:水平 0.17±0.20mm 和-0.12±0.22mm,垂直 0.26±0.28mm 和 0.20±0.25mm)。虽然八个受试者的瞳孔偏心变化很小,但另外两个受试者的瞳孔偏心变化很大。所有受试者平均而言,瞳孔收缩每毫米瞳孔直径变化时瞳孔中心位置的偏移量不显著(右眼和左眼:分别为每毫米瞳孔大小变化 0.03±0.07mm 和 0.03±0.04mm 向鼻侧,以及分别为每毫米瞳孔大小变化 0.04±0.06mm 和-0.05±0.12mm 向上)。瞳孔中心的变化方向和幅度不能从基线瞳孔大小的初始偏心来预测。
与文献中的数据一致,瞳孔中心相对于角膜中心明显向鼻侧和上侧偏心率。瞳孔偏心度随瞳孔大小显著变化,平均每收缩 1mm 瞳孔直径变化 0.05mm。假设 Hirschberg 比率为 12°mm(-1) , 0.05mm 的偏移相当于基于普尔金耶像的眼动追踪仪的测量误差为 0.6°。然而,对于仅 1mm 的瞳孔大小变化,一些受试者的诱导测量误差也可能超过 1.5°。