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Bayesian Modeling of Perceived Surface Slant from Actively-Generated and Passively-Observed Optic Flow

Figure 4

Recovery of surface slant according to Eq. 15.

The values reported in the figure refer to the stimulus conditions used in Figure 3. Differently from the “inverse-optics” approach, in this case the distribution is non-informative. Note that, after computing the product of the likelihood, the prior for , and the prior for , the marginalization over produces a posterior distribution that is very different from what is shown in Figure 3. The estimate of surface slant is given by the median of the posterior distribution (dotted line). The posterior median corresponds the point on the hyperbola closest to the origin of the Cartesian axes. The Bayesian posterior median estimator (which is equal to ) is represented by the red dot in panel .

doi: https://doi.org/10.1371/journal.pone.0018731.g004