Scott N. J. Watamaniuk

The human visual system averages speed information

It has been known for many years that human observers are unable to detect modest accelerations and decelerations in moving visual stimuli. We find that human observers can integrate speeds over many dots, moving at different speeds, producing a global speed percept analogous to the global direction percept first reported by Williams, D. W. and Sekuler, R. (1984, Vision Research, 24, 55-62). We measured speed discrimination for random dot stimuli which contained many different speeds. Our results show that observers always base their discrimination on the mean speed of the stimulus; changes in other stimulus characteristics (e.g. mode) are not detected. Moreover, discrimination thresholds for the global mean speed derived from many different speeds are comparable to those obtained with stimuli in which all dots move at the same speed suggesting that the internal noise associated with the encoding of speed information is quite high.

Temporal and spatial integration in dynamic random-dot stimuli

Random-dot cinematograms comprising many different, spatially intermingled local motion vectors can produce a percept of global coherent motion in a single direction. Thresholds for discriminating the direction of global motion were measured under various conditions. Discrimination thresholds increased with the width of the distribution of directions in the cinematogram. Thresholds decreased as the duration of area of the cinematogram increased. Temporal integration for global direction discrimination extends over about 465 msec (9.3 frames) while the spatial integration limit is at least as large as 63 deg2 (circular aperture diameter = 9 deg). The large spatial integration area is consistent with the physiology of higher visual areas such as MT and MST.

The use of an implicit standard for measuring discrimination thresholds.

We measured thresholds for comparing the separation between lines, using either the method of constant stimuli (MCS) or the method of single stimuli (MSS). In the MCS an explicit standard is presented on each trial, whereas in the MSS the standard is the mean of the set. The thresholds for the MSS procedure were nearly identical to those with the MCS procedure, whether or not feedback was used. A statistical model is presented showing how the threshold error estimated by MSS varies according to the number of past stimuli used by the observer to calculate the mean of the set. If the model is an accurate representation of human processing, our observers were averaging over the last 10-20 trials to estimate the implicit standard. Our results show that the explicit standard in the MCS procedure is generally superfluous. Provided that the test range is small, and that the observer is given some practice trials, thresholds measured with MSS procedure are just as precise as those measured with the traditional MCS procedure.

Temporal coherence theory for the detection and measurement of visual motion

A recent challenge to the completeness of some influential models of local-motion detection has come from experiments in which subjects had to detect a single dot moving along a trajectory amidst noise dots undergoing Brownian motion. We propose and test a new theory of the detection and measurement of visual motion, which can account for these signal-in-Brownian-noise experiments. The theory postulates that the signals from local-motion detectors are made coherent in space and time by a special purpose network, and that this coherence boosts signals of features moving along non-random trajectories over time. Two experiments were performed to estimate parameters and test the theory. These experiments showed that detection is impaired with increasing eccentricity, an effect that varies inversely with step size. They also showed that detection improves over durations extending to at least 600 msec. An implementation of the theory accounts for these psychophysical detection measurements.

Human smooth pursuit direction discrimination.

The smooth pursuit system is usually studied using single moving objects as stimuli. However, the visual motion system can respond to stimuli that must be integrated spatially and temporally (Williams DG, Sekuler R. Vision Res 1984;24:55-62; Watamaniuk SNJ, Sekuler R, Williams DW. Vision Res 1989;29:47-59). For example, when each dot of a random-dot cinematogram (RDC) is assigned a new direction of motion each frame from a narrow distribution of directions, the whole field of dots appears to move in the average direction (Williams and Sekuler, 1984). We measured smooth pursuit eye movements generated in response to small (10 deg diameter) RDCs composed of 250 dynamic random dots. Smooth eye movements were assessed by analyzing only the first 130 ms of eye movements after pursuit initiation (open-loop period). Comparing smooth eye movements to RDCs and single spot targets, we find that both targets generate similar responses confirming that the signal supplied to the smooth pursuit system can result from a spatial integration of motion information. In addition, the change in directional precision of smooth eye movements to RDCs with different amounts of directional noise was similar to that found for psychophysical direction discrimination. These results imply that the motion processing system responsible for psychophysical performance may also provide input to the oculomotor system.

Spatial integration in human smooth pursuit

When viewing a moving object, details may appear blurred if the objects motion is not compensated for by the eyes. Smooth pursuit is a voluntary eye movement that is used to stabilize a moving object. Most studies of smooth pursuit have used small, foveal targets as stimuli (e.g. Lisberger SG and Westbrook LE. J Neurosci 1985;5:1662-1673.). However, in the laboratory, smooth pursuit is poorer when a small object is tracked across a background, presumably due to a conflict between the primitive optokinetic reflex and smooth pursuit. Functionally, this could occur if the motion signal arising from the target and its surroundings were averaged, resulting in a smaller net motion signal. We asked if the smooth pursuit system could spatially summate coherent motion, i.e. if its response would improve when motion in the peripheral retina was in the same direction as motion in the fovea. Observers tracked random-dot cinematograms (RDC) which were devoid of consistent position cues to isolate the motion response. Either the height or the density of the display was systematically varied. Eye speed at the end of the open-loop period was greater for cinematograms than for a single spot. In addition, eye acceleration increased and latency decreased as the size of the aperture increased. Changes in the density produced similar but smaller effects on both acceleration and latency. The improved pursuit for larger motion stimuli suggests that neuronal mechanisms subserving smooth pursuit spatially average motion information to obtain a stronger motion signal.

Ideal observer for discrimination of the global direction of dynamic random-dot stimuli.

Random-dot cinematograms in which each dots successive movements are randomly drawn from a Gaussian distribution of directions can produce a percept of global coherent motion in a single direction. Discrimination of global direction was measured for various exposure durations, stimulus areas, and dot densities and bandwidths of the distribution of directions. Increasing the duration produced a greater improvement in performance than did increasing either the area or the density. Performance decreased as the distribution bandwidth increased. An ideal-observer model was developed, and the absolute efficiency for human direction discrimination was evaluated. Efficiencies were highest at large distribution bandwidths, with average efficiencies reaching 35%. A local-global noise model of direction discrimination, based on the ideal-observer model, containing a spatial and temporal integration limit as well as internal noise, was found to fit the human data well. The utility of ideal-observer analyses for psychophysical tasks and the interpretation of efficiencies is discussed.

Local motion detectors cannot account for the detectability of an extended trajectory in noise

Previous work has shown that a single dot moving in a consistent direction is easily detected among noise dots in Brownian motion (Watamaniuk et al., Vis Res 1995;35:65-77). In this study we calculated the predictions of a commonly-used psychophysical motion model for a motion trajectory in noise. This model assumes local motion energy detectors optimally tuned to the signal, followed by a decision stage that implements the maximum rule. We first show that local motion detectors do indeed explain the detectability of brief trajectories (100 ms) that fall within a single unit, but that they severely underestimate the detectability of extended trajectories that span multiple units. For instance, a 200 ms trajectory is approximately three times more detectable than two isolated 100 ms trajectories presented together within an equivalent temporal interval. This result suggests a nonlinear interaction among local motion units. This interaction is not restricted to linear trajectories because circular trajectories with curvatures larger than 1 degree are almost as detectable as linear trajectories. Our data are consistent with a flexible network that feeds forward excitation among units tuned to similar directions of motion.

Perceptual and oculomotor evidence of limitations on processing accelerating motion

Psychophysical studies have demonstrated that humans are less sensitive to image acceleration than to image speed (e.g., Gottsdanker, 1956; Werkhoven, Snippe, & Toet, 1992). Because there is evidence that a common motion-processing stage subserves perception and pursuit (e.g., Watamaniuk & Heinen, 1999), either pursuit should be similarly impaired in discriminating acceleration or it must receive input from a system different from the one that processes visual motion for perception. We assessed the sensitivity of pursuit to acceleration or speed, and compared the results with those obtained in perceptual experiments done with similar stimuli and tasks. Specifically, observers pursued or made psychophysical judgments of targets that moved at randomly selected base speeds and subsequent accelerations. Oculomotor and psychophysical discrimination were compared by analyzing performance for the entire stimulus set sorted by either target acceleration or speed. Thresholds for pursuit and perception were higher for target acceleration than speed, further evidence that a common motion-processing stage limits the performance of both systems.

Dependence of speed and direction perception on cinematogram dot density

In the present experiments, we find that with abrupt decreases in dot density of random-dot cinematograms, perceived speed decreases, while with abrupt increases in dot density, perceived speed increases. Further, in steady-state conditions, perceived speed is also affected in the same way, but to a lesser degree, by the dot density of cinematograms. Direction discrimination of random-dot cinematograms is enhanced when dot density increases abruptly from one stimulus to the next, but is degraded when dot density decreases abruptly. Finally, speed discrimination remains constant even when density changes abruptly. The perceived-speed and direction-discrimination data are consistent with the Motion Coherence theory which motivated this study, and with models that include a smoothing stage similar to this theory. Of the other models that we consider, most predict that increasing dot density reduces perceived speed. The speed-discrimination data could not distinguish between the different theories.