Marr: an appreciation.

The following is based largely on sections of our two recent books: Frisby and Stone (2010, Seeing MIT Press), and Stone (2012, Vision and Brain MIT Press). Those books are aimed at student/ novice audiences, and so we have eliminated material of a wholly introductory nature for this special issue of Perception. However, various debates we have had at vision conferences recently suggest to us that going over basic material on Marr could be useful to many current vision researchers who have had little contact with his work, so we have left in some content of that kind.

The accuracy of metric judgements: perception of surface normal.

Observers adjusted a probe (a short rod) to appear normal to a planar surface slanted in depth. In Experiment 1, observers (N=12) performed this metric task in two conditions: with reduced cues to calibration of binocular viewing parameters and with full cues. The results provided evidence for the use of an internal working metric in metric tasks because they confirm predictions that (i) errors should be largely systematic and accounted for by assuming an inaccurate working metric and (ii) this metric should be consistent with miscalibration of relevant viewing parameters. The data support the prediction that performance errors decrease in a manner consistent with improved binocular calibration, when better cues to relevant viewing parameters are provided. We performed two additional control experiments as further tests of the binocular miscalibration account, to determine whether performance in Experiment 1 could be explained instead by the use of monocular cues. We found that monocular performance was significantly poorer than binocular performance in reduced-cue conditions (Experiment 2) and full-cue conditions (Experiment 3). These control experiments provide confirmation that binocular cues contribute to performance in the full-cue conditions of Experiment 1, and that disparity was the only effective cue to slant in reduced-cue conditions.

Does binocularly perceived depth correlate with reduced stereoacuity?

AIM: To assess perceived depth in the Wirt Fly Stereotest for assessing stereoacuity. METHODS: Somers and Hamilton [Ophthalmic Physiol. Opt. 4 (1984) 245] reported a strong correlation for four observers with normal vision, between perceived depth in the Wirt Fly stereotest and degradation of Keystone stereothresholds from induced anisometropia created using a range of monocular plus lenses. Depth was measured with a pointer placed by subjects alongside the tip of the Fly's wing. Our study replicated that of Somers and Hamilton, but with several methodological refinements (mainly, use of a headrest to control head position) and more subjects. RESULTS: We confirm Somers and Hamilton's results for normal observers by finding (1) induced anisometropia causes systematic depth reduction for the Fly and (2) significant correlations between fly depth and stereothresholds (as measured with the Frisby Near and the Randot Circles stereotests). However, the mean values mask considerable between subject variation in responses. CONCLUSION: The substantial individual and between-subject variation in Wirt Fly perceived depth causes us to doubt its value as a proxy for stereoacuity except as a rough estimate.

The effects of ageing on stereopsis. A VEP study.

Differences in brain activation between young (n = 11, ages 21-35) and elderly (n = 8, ages 70-84) healthy participants were studied using visual evoked potentials (VEPs) to different kinds of computer generated random-dot patterns. The main stimulus of interest was a 2 x 2 array of rectangles whose rectangles moved to and fro in depth. Control conditions were similar 2 x 2 arrays, one with side-to-side lateral motion (LM) of the rectangles, and one a stationary baseline condition. The third non-stereo stimulus was an expanding field of small dots in radial motion (RM). Significant stereo related activation was found in both age groups. The stereo VEPs showed a longer latency of depth reversal triggered VEP peaks compared to control LM VEPs. The amplitudes of LM VEPs were larger than the baseline VEPs. Age-related differences were found not only in stereo but also in the other conditions. Thus the latency of early VEP peaks was shorter and their amplitude higher in the elderly for LM and baseline conditions, and the younger participants showed significantly higher activation in the later VEP peaks of all conditions. Our main finding is no evidence for age related stereo specific effects in brain activation, but instead more general and subtle changes that affect widely different visual stimulus conditions.

Accommodation to large disparity stereograms.

PURPOSE: The purpose of this study was to test whether observers would show accommodation changes to depth depicted in large disparity stereograms and whether the amount of accommodation was related to the amount of depth seen in the stereograms. Previous studies have shown small accommodation changes to depth depicted in stereograms. We tested a larger range of depths than previously investigated and also asked observers to judge the depth depicted in the stereogram, because a previous study had suggested that this might be an important factor. METHODS: All our observers had emmetropia. Accommodation was measured with a Canon Autoref R-1autorefractor as an observer viewed a depthful 4-by-4 cm planar target set against a 20-by-20 cm planar background 57 cm from the observer. The target was presented at a range of depths, -8 to +8 cm, either in stereogram stimuli or real stimuli. Each observer also made depth judgments of stereogram targets, after training with real targets. We also recorded the time taken for each observer to discern the depicted depths in stereograms. RESULTS: The accommodation shown by all observers (n = 9) to stereogram targets was significant but was on average about 60% of that predicted. There were individual differences in the accommodation an observer showed to stereogram targets, but this was not related to the amount of depth the observer saw in the stereogram. CONCLUSIONS: Accommodation changes did occur to stereogram targets, but these were generally less than predicted and also less than those shown for real targets. Possible reasons for these findings and the implications for the use of stereograms in clinical tests are discussed.