Are blur and disparity complementary cues to depth?

The image blur and binocular disparity of a 3D scene point both increase with distance in depth away from fixation. Perceived depth from disparity has been studied extensively and is known to be most precise near fixation. Perceived depth from blur is much less well understood. A recent experiment (Held, R. T, Cooper, E. A., & Banks, M. S. (2012). Current Biology, 22, 426-431) which used a volumetric stereo display found evidence that blur and disparity are complementary cues to depth, namely the disparity cue dominates over the blur cue near the fixation depth and blur dominates over disparity at depths that are far from fixation. Here we present a similar experiment but which used a traditional 3D display so that blur was produced by image processing rather than by the subjects' optics. Contrary to Held et al., we found that subjects did not rely more on blur to discriminate depth at distances far from fixation, even though a sufficient level of blur was available to do so. The discrepancy between the findings of the two studies can be explained in at least two ways. First, Held et al.'s subjects received trial-to-trial feedback in a training phase and may have learned how to perform the task using blur discrimination. Second, Held et al.'s volumetric stereo display may have provided other optical cues that indicated that the blur was real rather than rendered. The latter possibility would have significant implications about how depth is perceived from blur under different viewing conditions.