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In this section, we present illustrative data from both free eye movement and fixation-constrained tasks. The goal of this section is to illustrate data obtained using the framework and its ability to measure peripheral visual functions. The section is organized into four distinct categories, each highlighting critical elements necessary for accurate visual performance estimation under simulated central vision loss. These categories include performance on (1) low- and mid-level vision tasks, (2) attention measures in high-level vision tasks, (3) ecologically valid tasks, and (4) oculomotor metrics that capture adaptive eye movement strategies when central vision fixation is obstructed. All participants were healthy individuals with visual acuity of 20/40 or above and no known vision issue. Both of our representative participants were females and their ages are 27 and 24. All participants provided informed consent, and the study received approval from the Institutional Review Board (IRB) at the University of Alabama at Birmingham.
Performance on low and mid-level vision tasks with adaptive staircases
Figures 6 and 7 illustrate the performance progression of two participants across four specific visual tasks: visual acuity (Panel A), contrast sensitivity (Panel B), contour integration (Panel C), and crowding (Panel D). The performance trajectories are represented using color-coded staircases, where green denotes the left location of the target and purple signifies the right location. For each task, thresholds were calculated by averaging the last six reversals for each location (and for each shape or orientation in the contour integration and crowding tasks, respectively). These thresholds are marked by a dotted line perpendicular to the y-axis. It is important to note that for the visual acuity, contrast sensitivity, and crowding tasks, lower values on the y-axis correspond to better performance, whereas for the contour integration task, higher values indicate superior performance.

Figure 6. Performance of Participant 1 across tasks utilizing adaptive staircases: Panels A, B, C, and D correspond to the participant's performance on the visual acuity, contrast sensitivity, contour integration, and crowding tasks, respectively. Performance on the left location is marked by red dots, while performance on the right location is denoted by black dots. The thresholds for each task are represented by dashed lines perpendicular to the y-axis. Please click here to view a larger version of this figure.

Figure 7. Performance of Participant 2 across tasks utilizing adaptive staircases: Panels A, B, C, and D correspond to the participant's performance on the visual acuity, contrast sensitivity, contour integration, and crowding tasks, respectively. Performance on the left location is marked by red dots, while performance on the right location is denoted by black dots. The thresholds for each task are represented by dashed lines perpendicular to the y-axis. Please click here to view a larger version of this figure.
Participants showed reliable performance in visual acuity, contrast sensitivity, contour integration and crowding tasks during the experiment (Figure 6 & 7).
Measures of Attention
Figure 8 illustrates the participants' performance on the exogenous attention task, where reaction times are measured for congruent (valid cue) and incongruent (invalid cue) trials, categorized by location (left/right). For Participant 1, a significant effect of cue type was observed at the left location (Welch’s t-test: t(111.5) = -2.6, p < 0.05), indicating a notable difference in reaction times based on cue congruency (Figure 8). However, no significant effect was found at the right location. For Participant 2, there was no significant effect of cueing observed at either location. Figure 8 shows consistent cueing effect, as expected in an exogenous attention task.

Figure 8. Exogenous Attention Task Analysis: The figure presents the reaction times (measured in seconds) of two participants, with data grouped according to the location of target presentation. In this visualization, blue bars represent reaction times and percent accuracy for congruent and incongruent trials. Error bars are included to indicate the standard deviation for each condition. Upper graphs show reaction times and accuracy rate on the left side, lower graphs show reaction times and accuracy rate on the right side. Please click here to view a larger version of this figure.
Performance on Free Eye Movement Tasks
Performance on the MNRead task is measured by the time taken to read each sentence, with the task concluding when the participant can no longer read the sentence. Figure 9A and B display the MNRead task performance for both participants. As anticipated, the time required to read each sentence increases as the font size decreases. From these results, we can estimate key metrics such as reading acuity (the smallest font size correctly read), maximum reading speed, and the critical print size (the smallest print size at which participants can read at their maximum speed). These metrics can be compared both within and between participants. Figure 9C illustrates performance on the Trail Making Task, with total completion time recorded for both Part A (connecting numbers in ascending order) and Part B (connecting alternating numbers and letters in sequential order). Despite having the same number of elements, participants generally take longer to complete Part B, a finding consistent with previous research43.

Figure 9. Analyses of ecologically valid assessment tasks: The response time (measured in seconds) as a function of sentence font size is presented for Participant 1 in Panel A and for Participant 2 in Panel B. Panel C illustrates the time to completion (in seconds) for both Part A and Part B of the Trail Making Task. In this figure, blue bars represent the performance of Participant 1, while red bars correspond to the performance of Participant 2. Please click here to view a larger version of this figure.
Eye Movement Analysis
To understand peripheral viewing strategies after visual training, we analyze fixation distributions to estimate fixation stability and the location of the PRL44,45. The dispersion of eye positions within a trial is analyzed by controlling for varying fixation locations across different trials. This approach allows for the calculation of the average dispersion of eye positions within each trial. This metric is a within-trial measure of the dispersion of eye positions after the first fixation of the trial, consistent with previous studies27,28. Moreover, perceptual training of healthy vision individuals by using gaze-contingent display leads to shorter saccade latency46. We analyze peripheral fixation behavior by calculating dispersion through determining the Bivariate Contour Ellipse Area (BCEA), which encompasses a specified percentage of fixations, typically 68%, over a certain time period (e.g., 15-30 seconds). Unlike previous studies, we normalized the dispersion of fixations for each trial-by-trial duration and then averaged this across all trials (as shown in Figure 10, column 2). This normalization ensures that even if fixations are centered in different locations across trials, the method plots all distributions at a common reference point. Additionally, we employed a probability density analysis using Kernel Density Estimation (KDE) to visually represent areas with a high density of fixations (Figure 10, column 3). This technique allows us to define PRL as the region corresponding to the peak of the KDE function. It is important to note that these analyses offer a general overview of participants' gaze patterns over time but do not distinguish between how gaze patterns vary from trial to trial.

Figure 10. Fixation Stability Analysis: The figure displays BCEA and KDE plots of fixation distributions for the two participants. In the BCEA plots, a blue ellipse encloses 68% of the total fixations. In the KDE plots, the bright yellow area indicates the region with the highest fixation density. Please click here to view a larger version of this figure.
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