Factors that determine depth perception of trapezoids, windsurfers, runways.

We report here a windsurfer illusion, a naturally occurring trapezoidal illusion in which the small end of the sail viewed at a distance appears to be pointed away from the observer even when it is closer. This naturally occurring illusion is so compelling that observers are unaware of their gross perceptual misinterpretation of the scene. Four laboratory experiment of this kind of trapezoidal illusion investigated the joint effects of retinal orientation, head position, relative motion, and the relative direction of gravity on automatic depth perception. Observers viewed two adjacent white trapezoids outlined on a black background rotating back and forth ± 20° on a vertical axis much like the sails of two adjacent windsurfers. Observers reported which side of the trapezoids (long or short) appeared to be closer to them (i.e., in front). The longer edge of the trapezoid was reported in front 76 ± 2% of trials ("windsurfer effect") whether it was on the left or on the right. When the display was rotated 90°to produce a runway configuration, there was a striking asymmetry: the long edge was perceived to be in front 97% when it was on the bottom but only 43% when it was on top ("runway effect"). The runway effect persisted when the head was tilted 90° or when displays on the ceiling were viewed from the floor. Ninety-five percent of the variance of the variance in the strikingly different 3D perceptions produced by the same 2D trapezoid image was quantitatively explained by a model that assumes there are just three additive bias factors that account for perceiving an edge as closer: Implicit linear perspective, lower position on the retina (based on an automatic assumption of viewing from above), and being lower in world coordinates.

When motion appears stopped: stereo motion standstill.

Motion standstill is different from the usual perceptual experiences associated with objects in motion. In motion standstill, a pattern that is moving quite rapidly is perceived as being motionless, and yet its details are not blurred but clearly visible. We revisited motion standstill in dynamic random-dot stereograms similar to those first used by Julesz and Payne [Julesz B, Payne R (1968) Vision Res 8:433-444]. Three improvements were made to their paradigm to avoid possible confounds: The temporal frequency of the motion stimuli was manipulated independently from that of individual stereo gratings so that the failure of motion perception is not due to inability to compute stereo. The motion of the stereo gratings was continuous across the visual field so that the perceived pattern in motion standstill was not a simple average of a back-and-forth display wobble over time. Observers discriminated three spatial frequencies to demonstrate pattern recognition. Three objective psychophysical methods, instead of merely self-report, were used to objectively demonstrate motion standstill. Our results confirm that motion standstill occurs in dynamic random-dot stereogram motion displays at 4-6 Hz. Motion standstill occurs when the stimulus spatiotemporal frequency combination exceeds that of the salience-based third-order motion system in a spatiotemporal frequency range in which the shape and depth systems still function. The ability of shape systems to extract a representative image from a series of moving samples is a significant component of a biological system's ability to derive a stable perceptual world from a constantly changing visual environment.

Long-lasting sensitization to a given colour after visual search.

Visual attention enables an observer to select specific visual information for processing. In an ambiguous motion task in which a coloured grating can be perceived as moving in either of two opposite directions depending on the relative salience of two colours in the display, attending to one of the colours influences the direction in which the grating appears to move. Here, we use this secondary effect of attention in a motion task to measure the effect of attending to a specific colour in a search task. Observers performed a search task in which they searched for a target letter in a 4 x 4 coloured matrix. Each of the 16 squares within a matrix was assigned one of four colours, and observers knew that the target letter would appear on only one of these colours throughout the experiment. Observers performed the ambiguous motion task before and after the search task. Attending to a particular colour for a brief period in the search task profoundly influenced the perceived direction of motion. This effect lasted for up to one month and in some cases had to be reversed by practising searches for the complementary colour, indicating a much longer-persisting effect of attention than has been observed previously.

The spatial distribution of visual attention.

We use a novel search task to investigate the spatial distribution of visual attention, developing a general model from the data. Observers distribute attention to locations defined by stripes with a high penalty for attention to intervening areas. Attended areas are defined by a square-wave grating. A target is in one of the even stripes, and ten false targets (identical to the real target) are in the odd stripes; the observer must attend the even stripes and strongly ignore the odd, reporting the location of the target. As the spatial frequency of the grating increases, performance declines. Variations on this task inform a model that incorporates stimulus input, a "low pass" attentional modulation transfer function, and an acuity function to produce a strength map from which the location with the highest strength is selected. A feature-strength map that adds to the attention map enables the model to predict the results of attention-cued conjunction search experiments, and internal noise enables it to predict the outcome of double-pass experiments and of variations in the number of false targets. The model predicted performance on a trial-by-trial basis for three observers, accounting for approximately 70% of the trials. Actual trial-to-trial variation for an observer, using the double-pass method, is about 76%. For any requested distribution of spatial attention, this general model makes a prediction of the actually achieved distribution.