Plaid slant and inclination thresholds can be predicted from components

We investigated whether stereoscopic slant and inclination thresholds for surfaces defined by two component plaids could be predicted from the interocular differences in their individual component gratings. Thresholds were measured for binocular images defined by single sinusoidal gratings and two component plaids. In both cases thresholds showed a marked dependence on component orientation. For absolute component orientations greater than 45 deg we found that inclination thresholds were smaller than slant thresholds. However, for absolute component orientations less than 45 deg, we found a reversal: slant thresholds were smaller than inclination thresholds. We considered three models that might account for these data. One assumed that thresholds stemmed from interocular position differences of corresponding image points. The other two assumed a combination of position, orientation and/or spatial-frequency differences. The best fits were obtained from those models that explicitly represented orientation differences. From the model combining orientation and spatial-frequency differences, we estimated the relative cue sensitivity to be 1.7:1, respectively. For plaids, we found that thresholds obtained from the individual components could be used to predict thresholds for plaids, even though an additional disparity cue from the contrast beat was available.