In a previous study,
20 we found that acuity thresholds measured with VO letters were less variable than corresponding measures made with conventional letters. Furthermore, we found that acuity estimates with VOs varied less with the number of available alternatives. In explaining this finding we proposed that attenuating the low spatial frequency components renders the letters more equally resolvable, and this in turn results in lower variability in acuity thresholds based on letter discrimination.
In the current study we sought to separately measure the detection and recognition acuity thresholds for these optotypes on an individual basis, under both foveal and extrafoveal viewing. This allowed us to, first, determine if between-letter performance was in fact less variable than for conventional letters and, second, to determine if detection and recognition thresholds continued to be closely similar outside the fovea for these letters, and at different levels of blur.
It is apparent from
Figure 2 that, in agreement with our previous study, foveal acuity thresholds for VOs were significantly larger than for conventional letters in the focused condition. This was not surprising given that most of the low frequency information was removed from the stimuli, requiring the letter to increase in size in order for the visual system to utilize the higher frequency content. Surprising, however, is the observation that, while threshold letter size for VO recognition was larger in the focused condition, it became slightly, but significantly, smaller than for conventional letters as defocus increased above 1 D. Why might this happen? Since the high-pass VO letters contain less information at low frequencies, in the focused state they must necessarily become initially larger so that these higher
object frequencies become lower in terms of
retinal frequency in order for the visual system to resolve them and recognize the letter. When letters become progressively defocused, it is the higher
retinal frequencies that first start to phase-reverse, which some previous studies have claimed results in masking of the lower frequencies, making the letters increasingly difficult to resolve.
21 However, other computational studies have found that this is not necessarily the case. Akutsu et al.
22 reported that removing the spectrum above the first cut-off of the optical transfer function had little effect on defocused letter VA. Ravikumar et al.
23 found that, in the presence of positive spherical aberration, the impact of phase correction on letter acuity depended on the sign of the defocus. For positive defocus (as in the present study), the impact on VA was not significantly different for standard, phase-rectified or low-pass filtered defocus, leading them to conclude that the primary cause of acuity loss for positive blur was contrast reduction; however, that was for conventional letters. For VO letters it may be that phase reversal of the higher frequencies, which make up the lighter edges of the stimuli, causes the edges to become darker and results in the letter strokes effectively becoming thicker and the letter more discriminable. However, it is beyond the scope of the present study to fully determine why performance for heavily defocused VO letters is actually “better” than for conventional letters.
The results found in the periphery provide interesting additions to our knowledge from previous studies. Unlike in the fovea, there is a significant difference between detection and recognition performance for VO letters, indicating that these letters do not, in fact, vanish extrafoveally. This is in agreement with our previous studies using high-pass targets with lower numbers of alternatives.
24,25 The “vanishing” adjective may, therefore, be somewhat of a misnomer under these conditions. These letters behave in a partially similar manner to that found in previous studies that employed peripheral gratings with the same mean luminance as their surround. A superiority of detection acuity over recognition or resolution acuity for targets with the same mean luminance as their background, is strong evidence that the resolution task is, for the majority of letters, limited by retinal sampling rather than the eye's optics.
However, we found the effect of optical defocus on these letters to display both similarities and differences to the effects found with gratings.
17,18 While the effect of optical defocus was substantially less outside the fovea for both the conventional and VO letters, displaying a logMAR/D loss of only approximately a quarter of that observed in the fovea, the recognition acuity was not quite so robust to blur with VOs as observed in previous studies using gratings. This may be because, unlike for gratings, retinal sampling is not the only significant limiting factor involved in peripheral viewing. While grating appearance remains largely veridical under optical phase reversal, the increasingly spurious appearance of the letters with increasing defocus renders the letter more ambiguous to the underlying retinal ganglion cell mosaic. Also, while the previous studies found that grating detection and resolution performance are identical by around 3 to 4 D defocus, there remains a difference between the two thresholds for high-pass letters all the way up to 7 D (
Fig. 2b); again, this is likely because the spuriously defocused letter permits the eye to detect the presence of contrast that may not be sufficiently veridical to resolve. This would seem to also occur somewhat in the fovea where, as defocus increases, the detection and recognition thresholds of the VO begin to separate somewhat (
Fig. 2a).
Looking at the individual letters more closely, we found that, under zero defocus (lower half of
Fig. 3a), there were considerable differences in the recognition thresholds (gray squares) for different conventional letters, with an interletter range of 0.40 logMAR. The result was the same for W/G as for B/W letters. This variation was even greater under forced choice conditions (0.99 logMAR). When considering only the Sloan letters (vertical arrows) the legibility range reduces to 0.22 logMAR (SD 0.08 logMAR, mean of subjects), but this is still much greater than the desired 0.1 logMAR difference between lines on a conventional logMAR chart. These legibility differences were similar to those found in previous studies
26 and further called into question the widespread acceptance that the Sloan letters are closely equal in legibility. As expected, the circular letters (CGOQ) displayed the lowest acuities and appeared to behave as a separate subset, or even as a pair of subsets (e.g., OQ and CG), likely owing to the close similarity to each other and strong dissimilarity to the other letters. The current findings support the notion that, when the within-line recognition differences become greater than the between-line differences, acuity measurement variability results. This was discussed by McMonnies and Ho
27 who found that chance combinations of easy or difficult letters can lead to significant line-difficulty variation. By reducing the within-line differences, we could reasonably expect test–retest variability to improve. For this reason, it may be possible to choose a different set of letters from the Sloan ones, with more closely similar legibility. Grimm et al.
28 have summarized some previous studies that have attempted to do this.
The VOs (
Fig. 3b), however, in addition to displaying closely similar detection and recognition thresholds for all letters, displayed much lower between-letter variation in recognition under zero defocus (lower section); range 0.15 logMAR across all 26 letters, which reduced slightly further to 0.13 logMAR for the Sloan set. Our previous study
20 also found lower letter acuity measurement variability for VO letters, suggesting the reason to be the smaller interletter legibility differences. If a test chart's within-line legibility difference is greater than its between-line legibility difference, this will limit the reliability of acuity measurement and consequently its ability to register subtle alterations in VA that can signify changes in the disease state. While the purpose of this study was not to assess test–retest variability, which is a property of a specifically constructed instrument, it is possible from the error bars in
Figure 2a to observe the lower variability of acuity measurements with VOs compared to conventional letters. VO letters may thus be more appropriate targets from which to construct acuity charts. Interestingly, the circular VO letters (CGOQ) did not so much behave as a separate subset under zero defocus, but increasingly did so as defocus increased (upper part of
Fig. 3b). Why should this happen? These four letters are most commonly confused with each other and the information required to distinguish them most likely lies within the higher frequencies; as these higher frequencies are progressively attenuated by the low-pass filtering effects of the blur lenses, they will become increasingly difficult to tell apart. The inclusion of these VO letters on a clinical test chart could thus increase acuity measurement variability under higher levels of defocus.
In peripheral viewing, the interletter recognition differences were again substantial for the conventional letters, the circular letters again behaving as a separate subset (
Fig. 4a), but these differences were again much smaller for VOs (
Fig. 4b). However, unlike in the fovea, we found significant and often substantial differences between detection and recognition thresholds for all of the VO characters (
Fig. 4b). This difference between detection and recognition thresholds, and the relative robustness to the effects of optical defocus, points towards a sampling limit for recognition, but not detection, of VO letters in peripheral vision.
This has implications for tests such as high-pass resolution perimetry (HRP),
29 which assumes that the detection and resolution limits remain the same for VOs in the periphery. While only one optotype is employed by HRP (a ring) it can be seen by observing our results for the O in
Figure 4b that its detection and recognition thresholds are significantly different. However, our finding of blur-resistant, potentially sampling-limited recognition performance for VOs outside the fovea points towards a patient friendly in vivo measure of localized ganglion cell density; in effect a true letter resolution perimetry test.
Finally, in conditions like AMD, in which there is loss of foveal photoreceptors or even a central scotoma necessitating extrafoveal viewing, these optotypes may no longer vanish when recognition fails and the targets remain visible for some time after. This situation, resulting in a discrepancy between detection and recognition, may even be a useful sign of early AMD. Further work on clinical patients is required to better determine the clinical usefulness of high-pass letters in the detection and diagnosis of diseases such as AMD and glaucoma. In addition, other possibly confounding age-related optical factors such as straylight and lens yellowing may also affect the detection or recognition or both of VOs and these should be investigated in future studies.