Abstract
Purpose:
To evaluate how metrics used to describe the cone mosaic change in response to simulated photoreceptor undersampling (i.e., cell loss or misidentification).
Methods:
Using an adaptive optics ophthalmoscope, we acquired images of the cone mosaic from the center of fixation to 10° along the temporal, superior, inferior, and nasal meridians in 20 healthy subjects. Regions of interest (n = 1780) were extracted at regular intervals along each meridian. Cone mosaic geometry was assessed using a variety of metrics − density, density recovery profile distance (DRPD), nearest neighbor distance (NND), intercell distance (ICD), farthest neighbor distance (FND), percentage of six-sided Voronoi cells, nearest neighbor regularity (NNR), number of neighbors regularity (NoNR), and Voronoi cell area regularity (VCAR). The “performance” of each metric was evaluated by determining the level of simulated loss necessary to obtain 80% statistical power.
Results:
Of the metrics assessed, NND and DRPD were the least sensitive to undersampling, classifying mosaics that lost 50% of their coordinates as indistinguishable from normal. The NoNR was the most sensitive, detecting a significant deviation from normal with only a 10% cell loss.
Conclusions:
The robustness of cone spacing metrics makes them unsuitable for reliably detecting small deviations from normal or for tracking small changes in the mosaic over time. In contrast, regularity metrics are more sensitive to diffuse loss and, therefore, better suited for detecting such changes, provided the fraction of misidentified cells is minimal. Combining metrics with a variety of sensitivities may provide a more complete picture of the integrity of the photoreceptor mosaic.
Adaptive optics (AO) enhanced ophthalmoscopes permit noninvasive visualization of the human retina with cellular resolution. Imaging of the cone,
1–5 rod,
6–8 and retinal pigment epithelium (RPE)
9–13 mosaics has been demonstrated in healthy and diseased eyes. While pathology can often be quite striking when imaged with single-cell resolution, the ability to use these images to detect subtle changes relies on the ability to extract quantitative information about the mosaic of interest. This process often involves assessing metrics derived from the cell locations within an image. Metrics such as density,
14–24 spacing,
12,14,15,23,25–31 and regularity
19,32–34 are frequently used to characterize the cone mosaic. Despite their broad use, there has been minimal evaluation of the ability of these metrics to detect disruptions of the photoreceptor mosaic. Such testing is needed to objectively assess the strengths and weaknesses of these metrics in evaluating retinal mosaics, especially with the growing demand to image the photoreceptor mosaic over time (either following therapeutic intervention or to monitor disease progression).
One of the more significant factors known to affect metrics used to describe the cone mosaic is undersampling. Undersampling can come from two sources: cell misidentification or cell loss.
35,36 First, algorithms used to automatically or semiautomatically identify cells in retinal mosaics have some nonnegligible errors that can vary substantially with image quality.
14,15,34 As most metrics rely on cell identification rather than the retinal image itself (though Cooper et al.
37 uses a Fourier transform-derived spacing extracted directly from the image), the error introduced by this undersampling is an inherent feature of most current AO analyses. How this source of undersampling affects a given metric provides a direct measure of its “robustness.” Second, various retinal diseases result in the actual loss of cells from the mosaic.
21,22,25,29–33,38–42 How a metric changes in response to known amounts of cell loss defines its “sensitivity.” As there is a wide range of metrics used to assess retinal mosaics, it is critical to characterize how each metric is affected by undersampling: an ideal metric should be sensitive enough to detect cell loss, but robust enough to not be affected by small errors in cell identification.
Due in part to the optical waveguiding properties of photoreceptors, the cone mosaic can be imaged with particular ease. In fact, the cone mosaic can be resolved in some individuals even without using AO.
43–46 Moreover, cone photoreceptors drive the majority of our visual function and are affected in a variety of retinal diseases. Thus, there is continued interest in the development and validation of metrics for detecting disruptions or changes in the cone mosaic. Following the approach developed by Cook,
35 in which he compared versions of the same mosaic that had different amounts of undersampling, we examined the performance of a number of metrics by applying known amounts of diffuse cell loss (i.e., undersampling) to photoreceptor mosaic coordinates derived from images of the human cone mosaic. This pattern of cone mosaic disruption has been observed in conditions such as retinitis pigmentosa,
25,41 cone-rod dystrophy,
25 red-green color vision deficiency,
38 and acute macular neuroretinopathy.
22 In addition, this type of undersampling approximates the expected pattern that might occur as a result of errors in manual or automated cell detection. The data presented here provide a useful framework for understanding the strengths and limitations of these metrics, and highlight the important “philosophical” issue of whether the insensitivity (or robustness) of a metric to diffuse cell loss represents a strength or a weakness when trying to determine whether a given cone mosaic is normal or abnormal.
Density.
Percent Six-Sided Voronoi Cells.
Density Recovery Profile Distance (DRPD).
Nearest Neighbor Distance (NND).
Intercell Distance (ICD).
Farthest Neighbor Distance (FND).
Nearest Neighbor Regularity (NNR).
Number of Neighbors Regularity (NoNR).
Voronoi Cell Area Regularity (VCAR).
The authors thank Alfredo Dubra, PhD, Mara Goldberg, Christopher Langlo, Erika Phillips, Moataz Razeen, MD, Phyllis Summerfelt, and Jonathon Young for their contributions.
Supported in part by the National Center for Research Resources and the National Center for Advancing Translational Sciences of the National Institutes of Health under award number UL1TR001436 and by the National Eye Institute of the National Institutes of Health under award numbers P30EY001931, R01EY017607, and T32EY014537. Additional support was provided by Foundation Fighting Blindness (Columbia, MD, USA); The Edward N. & Della L. Thome Memorial Foundation, Bank of America, N.A. Trustee (Boston, MA, USA); the Gene & Ruth Posner Foundation (Milwaukee, WI, USA); and the Richard O. Schultz, MD/Ruth Works Professorship (Milwaukee, WI, USA). This investigation was conducted in part in a facility constructed with support from the Research Facilities Improvement Program; grant number C06RR016511 from the National Center for Research Resources, NIH.
Disclosure: R.F. Cooper, None; M.A. Wilk, None; S. Tarima, None; J. Carroll, None