This study was approved by the institutional review board at the University of Pennsylvania, and followed the tenets of the Declaration of Helsinki. Following explanation of the study, subjects gave informed consent and voluntarily participated.
Nine eyes of five subjects ages 24 to 35 with no known retinal pathology were included in this study. Axial lengths for each subject's eyes were obtained using an IOL Master (Carl Zeiss Meditec, Dublin, CA). AOSLO image scale was determined by acquiring images of a Ronchi ruling positioned at the focal plane of a lens with a 19-mm focal length to determine the conversion between image pixels and degrees. We then used a proportional axial length method to approximate the retinal magnification factor (in microns/degree) to convert the angular scale to microns/pixel.
9 Subjects' pupils were cyclopleged with phenylephrine hydrochloride (2.5%) and tropicamide (1%).
The custom AOSLO used in this study has been previously described.
4,10 A dental impression was used to align the subject to the AOSLO. An 848-nm superluminescent diode with a full-width at half-maximum (FWHM) bandwidth of 26 nm (Superlum, Cork, Ireland) was used for wavefront sensing, and a 97-actuator deformable mirror (Alpao SAS, France) provided the aberration correction. Confocal and nonconfocal split-detection images were acquired simultaneously at 16.7 frames per second over a 1° by 1° field of view using a superluminescent diode centered at 795 nm with FWHM of 15.3 nm (Superlum) and three photomultiplier tubes (PMT; Hamamatsu Corporation, Japan) configured as previously described.
4
Subjects were instructed to fixate (using the imaged eye) as steadily as possible at a target while the AOSLO image sequences were acquired along all four retinal meridians out to approximately 1800 μm from the fovea. A custom strip-registration algorithm was used for intraframe strip based registration and dewarping of the AOSLO images.
11 Reference frames for registration were chosen manually from the confocal image sequence, and 50 frames of the confocal AOSLO images were registered and averaged. The same transformations that were applied to the confocal images were applied to the 50 simultaneously acquired nonconfocal split-detection images, as described in other simultaneous multimodal imaging paradigms.
12 Averaged confocal and nonconfocal split-detection images were then automatically montaged (
Fig. 1) using a previously described algorithm.
13 Square 80, 93, and 100 μm per side ROIs were extracted at 190, 900, and 1800 μm, respectively, from the fovea along all four meridians in the confocal montages and at 900 and 1800 μm in the nonconfocal split-detection montages. When necessary, ROIs were minimally displaced to avoid the shadows of retinal blood vessels. One subject's montage did not extend out to 1800 μm inferior, resulting in a total of 178 ROIs for the study.
Three expert graders and one naïve grader manually identified cone locations once per ROI. The naïve grader was instructed on the use of the custom software and was verbally instructed on how to make cone selections using a test set of images separate from the images included in this study. The order in which the 178 ROIs were presented was randomized, and graders were masked to the subject, eye, and meridian. Graders were able to adjust the image brightness and contrast in both linear and logarithmic displays to aid in determining the presence of cone photoreceptors. Graders were instructed to mark cell centers by manually clicking on each cell. These locations were used to determine the Voronoi mosaic and only cone locations whose Voronoi cells were fully contained within the ROI were used for the cone density calculation. Bound cone density was then calculated by dividing the number of bound Voronoi cells by their area.
5
We undertook two different analyses to assess interobserver agreement for cone density measurements and cone identifications. First, interobserver agreement in cone density measurements was assessed at 190 for confocal images and at 190, 900, and 1800 μm for both confocal and nonconfocal split-detection images using intraclass correlation (ICC) coefficients with 95% confidence intervals (CIs). Agreement was assessed between the three expert reviewers, as well as between the three expert and one naïve graders. Agreement between cone density measurements from confocal and nonconfocal split-detection images at identical retinal locations were also compared between observers. A paired t-test was used to assess whether cone density in split-detection images was significantly different from cone density in confocal images for each observer.
Second, we compared the sensitivity and precision of cone identifications between pairs of observers for each image. We found observer co-located cones using the following method: First, we determined the average and standard deviation of the nearest neighbor distance across all coordinates from each expert observer within each image. We then clustered cone locations across all observers within each image by grouping cone locations that were located less than the mean nearest neighbor distance plus two standard deviations of the nearest neighbor distance of a given cone. Only one cone selection per observer was allowed in each cluster. We then assessed the similarity between cone identifications from each of the other observers independently. To do this, we considered one expert observer to be “ground truth” and found the number of true positives (denoted
Display Formula\(\def\upalpha{\unicode[Times]{x3B1}}\)\(\def\upbeta{\unicode[Times]{x3B2}}\)\(\def\upgamma{\unicode[Times]{x3B3}}\)\(\def\updelta{\unicode[Times]{x3B4}}\)\(\def\upvarepsilon{\unicode[Times]{x3B5}}\)\(\def\upzeta{\unicode[Times]{x3B6}}\)\(\def\upeta{\unicode[Times]{x3B7}}\)\(\def\uptheta{\unicode[Times]{x3B8}}\)\(\def\upiota{\unicode[Times]{x3B9}}\)\(\def\upkappa{\unicode[Times]{x3BA}}\)\(\def\uplambda{\unicode[Times]{x3BB}}\)\(\def\upmu{\unicode[Times]{x3BC}}\)\(\def\upnu{\unicode[Times]{x3BD}}\)\(\def\upxi{\unicode[Times]{x3BE}}\)\(\def\upomicron{\unicode[Times]{x3BF}}\)\(\def\uppi{\unicode[Times]{x3C0}}\)\(\def\uprho{\unicode[Times]{x3C1}}\)\(\def\upsigma{\unicode[Times]{x3C3}}\)\(\def\uptau{\unicode[Times]{x3C4}}\)\(\def\upupsilon{\unicode[Times]{x3C5}}\)\(\def\upphi{\unicode[Times]{x3C6}}\)\(\def\upchi{\unicode[Times]{x3C7}}\)\(\def\uppsy{\unicode[Times]{x3C8}}\)\(\def\upomega{\unicode[Times]{x3C9}}\)\(\def\bialpha{\boldsymbol{\alpha}}\)\(\def\bibeta{\boldsymbol{\beta}}\)\(\def\bigamma{\boldsymbol{\gamma}}\)\(\def\bidelta{\boldsymbol{\delta}}\)\(\def\bivarepsilon{\boldsymbol{\varepsilon}}\)\(\def\bizeta{\boldsymbol{\zeta}}\)\(\def\bieta{\boldsymbol{\eta}}\)\(\def\bitheta{\boldsymbol{\theta}}\)\(\def\biiota{\boldsymbol{\iota}}\)\(\def\bikappa{\boldsymbol{\kappa}}\)\(\def\bilambda{\boldsymbol{\lambda}}\)\(\def\bimu{\boldsymbol{\mu}}\)\(\def\binu{\boldsymbol{\nu}}\)\(\def\bixi{\boldsymbol{\xi}}\)\(\def\biomicron{\boldsymbol{\micron}}\)\(\def\bipi{\boldsymbol{\pi}}\)\(\def\birho{\boldsymbol{\rho}}\)\(\def\bisigma{\boldsymbol{\sigma}}\)\(\def\bitau{\boldsymbol{\tau}}\)\(\def\biupsilon{\boldsymbol{\upsilon}}\)\(\def\biphi{\boldsymbol{\phi}}\)\(\def\bichi{\boldsymbol{\chi}}\)\(\def\bipsy{\boldsymbol{\psy}}\)\(\def\biomega{\boldsymbol{\omega}}\)\(\def\bupalpha{\bf{\alpha}}\)\(\def\bupbeta{\bf{\beta}}\)\(\def\bupgamma{\bf{\gamma}}\)\(\def\bupdelta{\bf{\delta}}\)\(\def\bupvarepsilon{\bf{\varepsilon}}\)\(\def\bupzeta{\bf{\zeta}}\)\(\def\bupeta{\bf{\eta}}\)\(\def\buptheta{\bf{\theta}}\)\(\def\bupiota{\bf{\iota}}\)\(\def\bupkappa{\bf{\kappa}}\)\(\def\buplambda{\bf{\lambda}}\)\(\def\bupmu{\bf{\mu}}\)\(\def\bupnu{\bf{\nu}}\)\(\def\bupxi{\bf{\xi}}\)\(\def\bupomicron{\bf{\micron}}\)\(\def\buppi{\bf{\pi}}\)\(\def\buprho{\bf{\rho}}\)\(\def\bupsigma{\bf{\sigma}}\)\(\def\buptau{\bf{\tau}}\)\(\def\bupupsilon{\bf{\upsilon}}\)\(\def\bupphi{\bf{\phi}}\)\(\def\bupchi{\bf{\chi}}\)\(\def\buppsy{\bf{\psy}}\)\(\def\bupomega{\bf{\omega}}\)\(\def\bGamma{\bf{\Gamma}}\)\(\def\bDelta{\bf{\Delta}}\)\(\def\bTheta{\bf{\Theta}}\)\(\def\bLambda{\bf{\Lambda}}\)\(\def\bXi{\bf{\Xi}}\)\(\def\bPi{\bf{\Pi}}\)\(\def\bSigma{\bf{\Sigma}}\)\(\def\bPhi{\bf{\Phi}}\)\(\def\bPsi{\bf{\Psi}}\)\(\def\bOmega{\bf{\Omega}}\)\({N_{TP}}\)), false positives (comparison observer identified a cone when the “ground truth” expert observer did not, denoted
Display Formula\({N_{FP}}\)), and the number of false negatives (comparison observer did not identify a cone when the “ground truth” expert observer did, denoted
Display Formula\({N_{FN}}\)) for each of the other observers, including only cones with bound Voronoi areas. Thus, the number of cone identifications made from each observer can be expressed as:
\begin{equation}{N_{comparison\ observer}} = {N_{TP}} + {N_{FP}}\end{equation}
\begin{equation}{N_{ground\ truth\ expert}} = {N_{TP}} + {N_{FN}}\end{equation}
In order to compare data sets from different observers, we then calculated the true positive rate, the false discovery rate, and Dice's coefficient for each image as:
\begin{equation}true\ positive\ rate = {N_{TP}}/{N_{ground\ truth\ expert}}\end{equation}
\begin{equation}{\it{false\ discovery\ rate}} = {N_{FP}}/{N_{comparison\ observer}}\end{equation}
\begin{equation}{\it{Dice{\mbox{'}}s\ coefficient}} = 2{N_{TP}}/\left( {{N_{ground\ truth\ expert}} + {N_{ground\ truth\ expert}}} \right)\end{equation}
where Dice's coefficient is used as a metric for describing the similarity between two data sets.
14–16 We considered all permutations between graders where each expert grader was considered the ground truth and all other observers' cone identifications were compared to that expert's identifications. (For example, first considering expert observer 1 as ground truth and comparing observer 2 to 1, 3 to 1, and 4 to 1. Then, considering expert observer 2 as ground truth, and comparing 1 to 2, 3 to 2, and 4 to 2, etc.) We did not perform an analysis considering the naïve observer's cone identifications as ground truth.