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Dynamic asymmetries in disparity convergence eye movements.

Vergence eye movements have traditionally been considered the product of a single neural control center and are usually studied by combining the movements of each eye into a single 'vergence' response. In the present experiment, disparity-driven eye movements were produced by symmetrical step stimuli, and the dynamic properties of each eye movement were analyzed separately. Although the final positions of the two eyes were symmetrical, large dynamic asymmetries often occurred. The timing between the two eyes showed fair synchrony as they attained maximum velocity at approximately the same time. Since the final static positions were symmetrical, asymmetries occurring during the initial dynamic component must necessarily be compensated by offsetting asymmetries in the latter portion of the response.

Adult↗

On the preattentive accessibility of stereoscopic disparity: evidence from visual search.

We examined the generality of the claim that stereoscopic disparity is detectable in parallel across the visual field. Using a search paradigm with random-dot stereograms, we varied the relative disparity of target and distractor items. When both target and distractors had crossed disparities, both search functions (i.e., target in front of distractors and target behind distractors) were linear with positive slopes. When both target and distractors had uncrossed disparities, the pattern of results depended upon whether the target was in front of or behind the distractors-specifically, when the target was in front of the distractors, search functions were similar to those seen for "crossed" search, but when the target was behind the distractors, a nonlinear search function was found. Finally, when the target and distractors straddled the plane of fixation, a nonlinear search function was found when the target was in front of the distractors; however, when the target was behind the distractors, a linear search function with a large positive slope was found. We show that the nonlinear search functions are consistent with the effects of an intervening global surface percept. We also show that the size of the stimulus display may be a factor in some relative depth cases. Additionally, we replicate Steinman's (1987) finding that search is parallel when the distractors are located at the plane of fixation and the target disparity is crossed, eliminating monocular and spatial cues to target presence that may have been present in his original study. In a final control experiment, we showed that reaction times did not increase with set size when observers performed another kind of perceptual task on similar random-dot stereogram displays. This eliminates the possibility that some of the results obtained here can be explained by increases in the difficulty of perceiving/fusing the stimuli when the number of distractors is increased.

Adult↗

Slow-fast decoupling of the disparity convergence eye movements dynamics.

In this paper we show how to separate the slow and fast dynamics of the disparity convergence of the eye movements dynamic model. The dynamic equations obtained determine the modified slow dynamics that takes into account the impact of the fast dynamics and the modified fast dynamics that takes into account the impact of the slow dynamics. The slow fast decoupling is achieved by finding analytical solutions of the transformation equations used. The transformed slow and fast subsystems have very simple forms. Having separated the slow and fast dynamics completely, neural control problems for the slow and fast eye movements dynamics can be independently studied and better understood.

Algorithms↗

The direction of retinal motion facilitates binocular stereopsis.

Visual information from binocular disparity and from relative motion provide information about three-dimensional structure and layout of the world. Although the mechanisms that process these cues have typically been studied independently, there is now a substantial body of evidence that suggests that they interact in the visual pathway. This paper investigates one advantage of such an interaction: whether retinal motion can be used as a matching constraint in the binocular correspondence process. Stimuli that contained identical disparity and motion signals but which differed in their fine-scale correlation were created to establish whether the direction, or the speed, of motion could enhance performance in a psychophysical task in which binocular matching is a limiting factor. The results of these experiments provide clear evidence that different directions of motion, but not different speeds, are processed separately in stereopsis. The results fit well with properties of neurons early in the cortical visual pathway which are thought to be involved in determining local matches between features in the two eyes' images.

Depth Perception↗

Constraints on human stereo dot matching.

Statistical efficiency was used as a model-free measure of stereo performance to explore how well human observers perform for a range of stereoscopic stimuli with varying amounts of added disparity noise. When the stimulus was a random dot stereogram in which perturbations of disparity were applied independently to each dot, most of the dots had very different disparities from their neighbours and efficiency was found to fall as the level of disparity noise was increased. It was hypothesized that the fall of efficiency was due to difficulty with dot matching, so random-dot stereograms were created in which there was a significant correspondence problem but in which there were groups of dots that had locally the same disparity. For these targets, efficiency was fairly constant as noise was increased. When the stimulus consisted of a pair of vertical columns of dots, efficiency was also generally constant as noise was increased, perhaps because such stimuli do not present a severe correspondence problem. These experiments may allow the separation of one source of efficiency loss--that due to the difficulty of dot matching--from other sources of efficiency loss. These separate components of efficiency loss may describe components of performance that are suitable for comparison with the performance of stereo dot matching algorithms.

Depth Perception↗

Extracting object motion during observer motion: combining constraints from optic flow and binocular disparity.

Detection of object motion by moving observers and perception of velocity by stationary or moving observers ordinarily require information about object distance. It might be expected that object motion could be obtained without distance by use of a combination of optic flow and binocular disparity information. We describe how object motion could, in principle, be derived this way. The analysis also permits recovery of target distance. Finally, information about the observer's motion may be obtained in a similar fashion, assuming the existence of two stationary environmental points at an unknown distance. Although studies of human observers have not been completed, it appears that these informational variables are available under conditions in which observers perform well at detecting motion and stability. In particular, the information may help to explain why a visible surface in near space facilitates accurate perception.

Humans↗

The extrinsic/intrinsic classification of two-dimensional motion signals with barber-pole stimuli.

The perceived direction of different barber-pole stimuli was assessed by adjusting an arrow on the screen. The terminator ratio (TR: number of terminators moving along the long side divided by the number of terminators moving along the small side) was either one or three. In this latter case, the aperture orientation was either vertical or horizontal. The grating was either in the same plane as the aperture (intrinsic condition) or behind the aperture--the frame containing the aperture had a crossed disparity relative to the grating--(extrinsic condition). A nested design with 120 observers was used for the whole study. Five grating orientations were intermingled within any session. With a terminator ratio of three, the results depend strongly on the aperture's orientation. When the rectangular aperture is horizontal, the perceived direction of an intrinsic grating is horizontal (the typical barber-pole illusion), whereas it is only slightly biased towards orthogonal one-dimensional (1D) motion signals (Vp) in the extrinsic condition. When the aperture is vertical, the perceived direction in the intrinsic condition is largely biased toward Vp, and on average it is close to Vp in the extrinsic condition. In this latter case, however, analysing the distributions of responses shows that many responses do not lie around Vp but are clustered near vertical or horizontal. This motion capture depends on the grating's orientation. With a terminator ratio of one, motion capture is present in both the extrinsic and intrinsic conditions. Moreover, a global bias toward horizontal is observed: this horizontal bias is much larger in the extrinsic condition. Altogether, these results suggest that binocular disparity alone is a weak determinant of the extrinsic/intrinsic classification of two-dimensional (2D) motion signals compared to the occlusion cues provided by unpaired regions in binocular images. Second, truly extrinsic 2D motion signals are not suppressed but rather actively compete against each other to capture the 1D motion signals. This results in a perceptual multistability which is much stronger with extrinsic signals. Finally, given the inherent multistability of barber-pole stimuli, high-level factors can alter the strength of this competition and prime any of the 2D motion signals.

Discrimination, Psychological↗

First and second-order contributions to surface interpolation.

Comparisons of 1st- and 2nd-order stereopsis have typically employed isolated, or local, narrow-band targets. While these experiments have revealed a great deal about the distinction between these two types of processing, such stimuli are rare in the natural environment. Instead, local disparity signals are more likely to be part of extended surfaces that very smoothly in depth. The aim of the experiments presented here is to determine the relative contribution of 1st- and 2nd-order stereopsis to the perception of depth-modulated surfaces. Stereothresholds were measured under a range of conditions designed to isolate either 1st- or 2nd-order processing. The results demonstrate that while 2nd-order stereopsis provides local depth estimates for individual texture elements, 1st-order processing is essential to the global interpolation of those estimates across surfaces.

Contrast Sensitivity↗

The perception of scale-dependent and scale-independent surface structure from binocular disparity, texture, and shading.

The integration of binocular disparity, shading, and texture was measured for two different aspects of three-dimensional structure: (1) shape index, which is a measure of scale-independent structure, and (2) curvedness, which is a measure of scale-dependent structure. Binocular disparity was found to contribute significantly more to judged shape index than it does to judged curvedness, and shading and texture were both found to contribute more to judged curvedness than to judged shape index. These results demonstrate that different cues do not contribute equally to different aspects of perceived surface structure. This finding suggests that, for the case of linear integration, multiple cues to three-dimensional structure do not combine on the basis of a single type of representation shared by all the 'shape-from-X' processes in the visual system.

Contrast Sensitivity↗

Chromatic assimilation unaffected by perceived depth of inducing light.

Chromatic assimilation is a shift toward the color of nearby light. Several studies conclude that a neural process contributes to assimilation but the neural locus remains in question. Some studies posit a peripheral process, such as retinal receptive-field organization, while others claim the neural mechanism follows depth perception, figure/ground segregation, or perceptual grouping. The experiments here tested whether assimilation depends on a neural process that follows stereoscopic depth perception. By introducing binocular disparity, the test field judged in color was made to appear in a different depth plane than the light that induced assimilation. The chromaticity and spatial frequency of the inducing light, and the chromaticity of the test light, were varied. Chromatic assimilation was found with all inducing-light sizes and chromaticities, but the magnitude of assimilation did not depend on the perceived relative depth planes of the test and inducing fields. We found no evidence to support the view that chromatic assimilation depends on a neural process that follows binocular combination of the two eyes' signals.

Calibration↗

Velocity constancy in a virtual reality environment.

During everyday life the brain is continuously integrating multiple perceptual cues in order to allow us to make decisions and to guide our actions. In this study we have used a simulated (virtual reality--VR) visual environment to investigate how cues to speed judgments are integrated. There are two sources that could be used to provide signals for velocity constancy: temporal-frequency or distance cues. However, evidence from most psychophysical studies favours temporal-frequency cues. Here we report that two depth cues that provide a relative object--object distance--disparity and motion parallax--can provide a significant input to velocity-constancy judgments, particularly when combined. This result indicates that the second mechanism can also play a significant role in generating velocity constancy. Furthermore, we show that cognitive factors, such as familiar size, can influence the perception of object speed. The results suggest that both low-level cues to spatiotemporal structure and depth, and high-level cues, such as object familiarity, are integrated by the brain during velocity estimation in real-world viewing.

Cues↗

Comparing perceptual signals of single V5/MT neurons in two binocular depth tasks.

Neurons in the extrastriate visual area V5/MT show perceptually relevant signals in binocular depth tasks, which can be measured as a choice probability (CP) for the neuron. The presence of a CP in a particular paradigm may be an indicator that the neuron is generally part of the substrate for the perception of binocular depth. We compared the responses of those single neurons that show CPs in one stereoscopic depth task with their responses in another stereo task. Each neuron was tested for the presence of 1) CPs during a task in which macaques responded to the sign of binocular depth in a structure-from-motion stimulus, to judge its direction of three-dimensional rotation and 2) a consistent response to the stereo disparity of binocularly anti-correlated stimuli. Previous work, confirmed here, shows that changing the disparity of these binocularly anti-correlated stimuli often fails to yield a coherent change in the depth percept. For each test alone, there are V5/MT neurons that carry signals that are congruent with the perceptual effects. However, on comparing tests, there is no fixed pool of neurons that can account for the binocular depth percept. Excitation of neurons with a measurable CP does not necessarily lead to a change in perception. The cortical circuitry must be able to make dynamic changes in the pools of neurons that underlie perceptual judgments according to the demands of the task.

Action Potentials↗

Binocular disparity discrimination in human cerebral cortex: functional anatomy by positron emission tomography.

Neurobiological studies in higher primates indicate that the processing of stereoscopic information takes place at early levels in the visual cortex. To map the anatomical structures in the human brain participating in pure stereopsis based upon binocular disparity, we measured with positron emission tomography the changes in regional cerebral blood flow as an indicator of metabolic activity in 10 healthy young men during visual discrimination of binocular disparity. The data demonstrate that the discrimination of pure stereo-optic disparity information takes place in the polar striate cortex and the neighboring peri-striate cortices, as well as in the parietal lobe, the prefrontal cortex, and the cerebellum. The discrimination of stereoscopic depth is dependent on a network composed of multiple functional fields localized in occipital- and parietal-lobe visual areas as well as in the dorsolateral and mesial prefrontal cortex. The findings support the importance of coactivated occipitoparietal visual areas in the processing and analysis of binocular depth information in humans.

Adult↗

Disparity-tuning characteristics of neuronal responses to dynamic random-dot stereograms in macaque visual area V4.

Stereo processing begins in the striate cortex and involves several extrastriate visual areas. We quantitatively analyzed the disparity-tuning characteristics of neurons in area V4 of awake, fixating monkeys. Approximately half of the analyzed V4 cells were tuned for horizontal binocular disparities embedded in dynamic random-dot stereograms (RDSs). Their response preferences were strongly biased for crossed disparities. To characterize the disparity-tuning profile, we fitted a Gabor function to the disparity-tuning data. The distribution of V4 cells showed a single dense cluster in a joint parameter space of the center and the phase parameters of the fitted Gabor function; most V4 neurons were maximally sensitive to fine stereoscopic depth increments near zero disparity. Comparing single-cell responses with background multiunit responses at the same sites showed that disparity-sensitive cells were clustered within V4 and that nearby cells possessed similar preferred disparities. Consistent with a recent report by Hegdé and Van Essen, the disparity tuning for an RDS drastically differed from that for a solid-figure stereogram (SFS). Disparity-tuning curves were generally broader for SFSs than for RDSs, and there was no correlation between the fitted Gabor functions' amplitudes, widths, or peaks for the two types of stereograms. The differences were partially attributable to shifts in the monocular images of an SFS. Our results suggest that the representation of stereoscopic depth in V4 is suited for detecting fine structural features protruding from a background. The representation is not generic and differs when the stimulus is broad-band noise or a solid figure.

Action Potentials↗

Distance cues for vertical vergence adaptation.

Vertical vergence can be trained to respond to vertical and/or horizontal conjugate eye position, horizontal vergence, and vertical head tilt. This cross-coupling is manifest as a vertical phoria aftereffect (monocular vertical vergence response) that varies with direction and distance of gaze. The function of the spatially dependent adaptation is to maintain the calibration between vertical eye alignment and intended placement of the two retinal images. Oculomotor adaptation stabilizes our sense of spatial localization and calibrates a body-referenced coordinate representation of visual space that is necessary for visually guided motor responses. We have tested the possible association of vertical phoria adaptation with perceptual cues to distance in the absence of any other associated motor activity. During adaptive training, vertical disparity vergence was associated with variations of perceptual distance cues (including loom, overlap, relative size, and relative motion), oculomotor distance cues (horizontal vergence), or a combination of both classes of cues. We observed that in a 2-h period the open-loop (monocular) vertical vergence response could not be trained to occur as an aftereffect in association with the perceptual cues to distance, whereas it could be trained in association with oculomotor cues. We conclude that the spatial specificity of vertical vergence aftereffects caused by short-term adaptation results from an associated cross-coupling with supranuclear sources of oculomotor activity.

Adaptation, Ocular↗

Luminance contrast affects motion coherency in plaid patterns by acting as a depth-from-occlusion cue.

Moving plaid patterns composed of component gratings that differ in luminance contrast tend not to cohere perceptually. Plaid patterns configured to mimic one occlusive grating overlying another also fail to cohere. We hypothesized that plaids constructed of components with different luminance contrasts fail to cohere because these components are interpreted as occlusive surfaces lying in different depth planes. It is known that when depth-from-occlusion and depth-from-binocular disparity cues support the same depth-ordering, both segregation in depth and motion non-coherency are more likely to be perceived than when these two cues conflict. We exploited this interaction and tested our hypothesis by introducing horizontal binocular disparity between two superimposed component gratings of different luminance contrasts. We found that both depth segregation and motion non-coherency were much more likely when the high-contrast grating was stereoscopically in front of the low-contrast grating. From these results we infer that luminance contrast acts as a depth-cue in plaid patterns, with higher contrast gratings appearing to lie in front of lower contrast gratings. Perceptual motion coherency parallels these depth-ordering judgments. We conclude that luminance contrast affects motion coherency by acting as a depth-from-occlusion cue.

Contrast Sensitivity↗

Exposure duration affects the perceived direction of cyclopean type II plaids.

This study investigated the effect of exposure duration on the perceived direction of cyclopean Type I and Type II plaids moving in the X/Y plane. The cyclopean plaids were created from grating components defined by binocular disparity embedded in a dynamic random-dot stereogram. The results showed that the cyclopean Type I plaid appeared to move in the intersection-of-constraints (IOC) direction across the range of exposures tested. However, the cyclopean Type II plaids appeared to move in a direction different from the IOC with short exposures but near the IOC with long exposures. This perceived directional shift was also obtained with luminance-defined Type II plaids. A common pattern-motion mechanism that processes cyclopean and luminance motion signals appears responsible for the perceived directional shift of the Type II plaids.

Depth Perception↗

Variability of fixation disparity and accommodation when viewing a CRT visual display unit.

Fixation disparity and accommodation were measured while subjects viewed a target on a cathode ray tube at a 50 cm viewing distance. The psychophysical method of sequential testing was used. For measuring fixation disparity a series of brief dichoptic nonius targets was presented and the direction of perceived misalignment was reported by the subject. From these responses the psychometric function of fixation disparity can be derived which gives not only the mean fixation disparity but also the range of fluctuation during the period of measurement. During a 5 min period, this range was +/- 1.5 min arc averaged over subjects, when expressed as the range in which instantaneous fixation disparity fell with a probability of 68%. Repeated measurements on 5 days within 2 weeks gave a larger range of +/- 2 min arc. However, individual results can differ considerably from these average values. Repeated measurements and the analysis of the psychometric function can provide a more complete description of individual binocular status than is obtained with a single adjustment of continuously visible nonius targets. Laser optometry revealed that, compared to the stimulus distance of 50 cm, accommodation lagged behind in the range 1-2 D. The two display modes of bright characters on dark background and vice versa gave very similar results.

Accommodation, Ocular↗