Department of Psychology, New York University, New York, NY, USA.
Cognitive Science & Computer Science, Swarthmore College, Swarthmore, PA, USA.
J Vis. 2023 Aug 1;23(8):6. doi: 10.1167/jov.23.8.6.
Crowding is the failure to recognize an object due to surrounding clutter. Our visual crowding survey measured 13 crowding distances (or "critical spacings") twice in each of 50 observers. The survey includes three eccentricities (0, 5, and 10 deg), four cardinal meridians, two orientations (radial and tangential), and two fonts (Sloan and Pelli). The survey also tested foveal acuity, twice. Remarkably, fitting a two-parameter model-the well-known Bouma law, where crowding distance grows linearly with eccentricity-explains 82% of the variance for all 13 × 50 measured log crowding distances, cross-validated. An enhanced Bouma law, with factors for meridian, crowding orientation, target kind, and observer, explains 94% of the variance, again cross-validated. These additional factors reveal several asymmetries, consistent with previous reports, which can be expressed as crowding-distance ratios: 0.62 horizontal:vertical, 0.79 lower:upper, 0.78 right:left, 0.55 tangential:radial, and 0.78 Sloan-font:Pelli-font. Across our observers, peripheral crowding is independent of foveal crowding and acuity. Evaluation of the Bouma factor, b (the slope of the Bouma law), as a biomarker of visual health would be easier if there were a way to compare results across crowding studies that use different methods. We define a standardized Bouma factor b' that corrects for differences from Bouma's 25 choice alternatives, 75% threshold criterion, and linearly symmetric flanker placement. For radial crowding on the right meridian, the standardized Bouma factor b' is 0.24 for this study, 0.35 for Bouma (1970), and 0.30 for the geometric mean across five representative modern studies, including this one, showing good agreement across labs, including Bouma's. Simulations, confirmed by data, show that peeking can skew estimates of crowding (e.g., greatly decreasing the mean or doubling the SD of log b). Using gaze tracking to prevent peeking, individual differences are robust, as evidenced by the much larger 0.08 SD of log b across observers than the mere 0.03 test-retest SD of log b measured in half an hour. The ease of measurement of crowding enhances its promise as a biomarker for dyslexia and visual health.
拥挤是指由于周围的杂乱而无法识别物体。我们的视觉拥挤调查在 50 名观察者中两次测量了 13 个拥挤距离(或“临界间距”)。该调查包括三个偏心率(0、5 和 10 度)、四个主经线、两种方向(径向和切向)和两种字体(Sloan 和 Pelli)。该调查还测试了两次中央凹视力。值得注意的是,拟合一个双参数模型——著名的 Bouma 定律,其中拥挤距离随偏心率线性增长——解释了所有 13×50 个测量的对数拥挤距离的 82%的方差,交叉验证。一个增强的 Bouma 定律,包含了子午线、拥挤方向、目标类型和观察者的因素,解释了 94%的方差,再次交叉验证。这些额外的因素揭示了几个与以前的报告一致的不对称性,可以表示为拥挤距离比:0.62 水平:垂直,0.79 下:上,0.78 右:左,0.55 切向:径向,0.78 Sloan 字体:Pelli 字体。在我们的观察者中,周边拥挤与中央凹拥挤和视力无关。如果有一种方法可以比较使用不同方法的拥挤研究的结果,那么将 Bouma 因子 b(Bouma 定律的斜率)作为视觉健康的生物标志物将更容易。我们定义了一个标准化的 Bouma 因子 b',它可以纠正 Bouma 的 25 个选择选项、75%的阈值标准和线性对称的侧翼放置的差异。对于右主经线上的径向拥挤,本研究的标准化 Bouma 因子 b'为 0.24,Bouma(1970)为 0.35,包括本研究在内的五个现代代表性研究的几何平均值为 0.30,表明实验室之间的一致性良好,包括 Bouma 的实验室。模拟结果经数据证实,窥视会扭曲拥挤的估计(例如,大大降低对数 b 的平均值或使对数 b 的标准差增加一倍)。使用注视跟踪来防止窥视,可以使个体差异更加稳健,这从观察者之间的对数 b 的标准差 0.08 比半小时内测量的对数 b 的仅 0.03 的测试-再测试标准差大得多就可以看出。拥挤的测量简便性增加了它作为阅读障碍和视觉健康生物标志物的潜力。