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Distance estimation in the third dimension in desert ants.

Desert ants of the genus Cataglyphis perform large-scale foraging excursions from which they return to their nest by path integration. They do so by integrating courses steered and the distances travelled into a continually updated home vector. While it is known that the angular orientation is based on skylight cues, it still is largely enigmatic how the ants measure distances travelled. We extended the ants' task into the third dimension by training them to walk within an array of uphill and downhill channels, and later testing them on flat terrain, or vice versa. In these tests the ants indicated homing distances that did not correspond to the distances actually travelled, but to the ground distances; that is, to the sum of the horizontal projections of the uphill and downhill segments of the ants' paths. These results suggest a much more sophisticated mechanism of distance estimation than hitherto thought. The ants must be able to measure the slopes of undulating terrain and to integrate this information into their "odometer" for the distance estimation process.

Animals↗

Adjustment of the vestibulo-ocular reflex gain as a function of perceived target distance in humans.

The human vestibulo-ocular reflex (VOR) was investigated during active head movements in yaw while subjects were asked to view targets located at 20, 30, 40, 60, 90, and 120 cm distance aligned with eye level. Binocular video cameras were used to study conjugate eye movements and binocular convergence. Perceived target distance was determined during head oscillation by having the subjects move a cursor to the remembered position of the previously seen targets. The changes in VOR gain with viewing distance were found to be more closely related to perceived target distance than to actual target distance or fixation distance. This result suggests that the adjustment of VOR gain with viewing distance is under stronger cognitive control than would be expected of a simple motor reflex.

Adult↗

Absolute travel distance from optic flow.

Optic flow fields provide rich information about the observer's self-motion. Besides estimation of the direction of self-motion human observers are also able to discriminate the travel distances of two self-motion simulations. Recent studies have shown that observers estimate the simulated ego velocity of the self-motion simulation and integrate it over time. Thus, observers use a 3-D percept of the ego motion through the environment. In the present work we ask if human observers are able to use this 3-D percept of the motion simulation to build up an internal representation of travel distance and indicate it in a static scene. We visually simulated self-motion in different virtual environments and asked subjects to indicate the perceived distances in terms of static virtual intervals on the ground. The results show that human observers possess a static distance gauge, but that they undershoot the travel distances for short motion simulations. In further experiments we changed the modality of the distance indication but the undershoot in distance estimation remained. This suggests that the undershoot is linked to the perception of the optic flow field.

Cues↗

How vertical disparities assist judgements of distance.

The ratio of the vertical sizes of corresponding features in the two eyes' retinal images depends both on the associated object's distance and on its horizontal direction relative to the head (eccentricity). It is known that manipulations of vertical size ratio can affect perceived distance, size, depth and shape. We examined how observers use the vertical size ratio to determine the viewing distance. Do they use the horizontal gradient of vertical size ratio, or do they combine the vertical size ratio itself with the eccentricity at which it is found? Distance scaling (as measured by having subjects set an ellipsoid's size and shape to match a tennis ball) was no better when the judged object was 30 degrees to the right of the head (where vertical size ratios vary considerably with distance) than when it was located straight ahead. Distance scaling improved when vertical disparities were presented within larger visual fields, irrespective of where this was relative to the head. Our results support the proposal that subjects use the horizontal gradient of vertical size ratio to estimate the distance of an object that they are looking at.

Distance Perception↗

Influence of viewing distance on aftereffects of moving random pixel arrays.

Viewing-distance invariance of visual perception has evolutionary advantages, but it is of necessity limited by spatial and temporal resolution. Even within these resolution limits viewing-distance invariance might not be perfect or even good, but there are remarkably few studies of its precise limits. Here we ask to what extent viewing-distance invariance holds for motion aftereffects (MAEs). There are (at least) two different MAEs: one can be seen on a static test pattern (sMAE) and is tuned to low speeds, the other only becomes manifest on a dynamic noise test stimulus (dMAE) and is sensitive to higher adaptation speeds. We show that each of these MAEs has a limited viewing-distance invariance, the dMAE only for higher screen-speeds and the sMAE only for lower screen-speeds. In both cases upper angular-speed limits shift to higher values for smaller viewing-distances (lower spatial frequencies, larger fields). This upper limit is constant, independent of viewing distance, if expressed in terms of screen-speed. On the other hand the lower speed limit is fixed in angular-speed and variable in screen-speed terms. Explanations for these findings are provided. We show that there is no fixed optimum viewing-distance or optimum angular stimulus-size for either of the two MAEs.

Computer Graphics↗

Perceived distance, shape and size.

If distance, shape and size are judged independently from the retinal and extra-retinal information at hand, different kinds of information can be expected to dominate each judgement, so that errors in one judgement need not be consistent with errors in other judgements. In order to evaluate how independent these three judgments are, we examined how adding information that improves one judgement influences the others. Subjects adjusted the size and the global shape of a computer-simulated ellipsoid to match a tennis ball. They then indicated manually where they judged the simulated ball to be. Adding information about distance improved the three judgements in a consistent manner, demonstrating that a considerable part of the errors in all three judgements were due to misestimating the distance. Adding information about shape that is independent of distance improved subjects' judgements of shape, but did not influence the set size or the manually indicated distance. Thus, subjects ignored conflicts between the cues when judging the shape, rather than using the conflicts to improve their estimate of the ellipsoid's distance. We conclude that the judgements are quite independent, in the sense that no attempt is made to attain consistency, but that they do rely on some common measures, such as that of distance.

Cues↗

Distance stereoacuity. Assessing control in intermittent exotropia.

BACKGROUND: A patient's ability to control an intermittent exotropic deviation is usually assessed by subjective means such as observation of control in the office, questioning the patient and/or family about control at home, and reports of monocular eye closure in bright light. An objective method of assessing control has not been developed. PURPOSE: The purposes of this study are to determine if distance stereoacuity was different in patients with intermittent exotropia than in normal subjects and to determine if distance stereoacuity could be used as a objective means of assessing control in intermittent exotropia. METHODS: The authors evaluated near and distance stereoacuity in 44 patients with intermittent exotropia and 50 normal subjects. Patients with intermittent exotropia also were assessed for office control, home control, and monocular eye closure in bright light. Additionally, six patients who underwent successful surgery were reevaluated postoperatively. CONCLUSION: Normal subjects and patients with intermittent exotropia had good near stereoacuity. Patients with intermittent exotropia demonstrated significantly worse distance stereoacuity than the population of normal subjects (P < 0.001). Five of six patients with poor distance stereoacuity preoperatively had dramatic improvement in distance stereoacuity postoperatively. Diminished distance stereoacuity seems to be an objective measure of poor control of the exotropic deviation. This test may provide important objective criteria for deciding when to perform surgery in patients with intermittent exotropia.

Adolescent↗

Pacing strategy in simulated cycle time-trials is based on perceived rather than actual distance.

This study determined the pacing strategies and performance responses of six well-trained cyclists/triathletes (peak O2 uptake 66.4+/-3.7 ml x kg(-1) x min(-1), mean+/-SD) during seven simulated time-trials (TT) conducted on a wind-braked cycle ergometer. All subjects first performed a 40 km familiarisation ride (TT1). They were then informed they would be riding a further four 40 km TT for the purpose of a reliability study. Instead, the actual distances ridden for the next three TT were a random order of 34 (TT2), 40 (TT3) and 46 km (TT4). The only feedback given to subjects during TT1-4 was the percentage distance of that ride remaining. During a further 40 km TT (TT5) subjects were allowed to view their heart rate (HR) responses throughout the ride. Despite the significantly different performance times across the three distances (47:23+/-4:23 vs 55:57+/-3:24 vs 65:41+/-3:56 min for the 34, 40 and 46 km respectively, P<0.001), average power output (296+/-48 vs 294+/-48 vs 286+/-40 W) and HR (173+/-11 vs 174+/-12 vs 173+/-12 beats x min(-1)) were similar. The true nature of the first part of the study was then revealed to subjects who subsequently completed an additional 34 km and 46 km TT TT6-7) in which the actual and perceived distance ridden was the same. Power output and HR responses were similar for both unknown (TT2 and TT6) and known (TT4 and TT7) rides for both distances: 296+/-48 vs 300+/-55 W and 173+/-11 vs 177+/-11 beats x min(-1) (34 km) and 286+/-40 vs 273+/-42 W and 173+/-12 vs 174+/-12 beats x min(-1) (46 km). In conclusion, well-trained cyclists rode at similar power outputs and HR during time trials they perceived to be the same distance, but which varied in actual distance from 34 to 46 km.

Adult↗

The effect of test distance on the CN lantern results.

The purpose of this study is to determine how the viewing distance affects the pass/fail results of the CN Lantern (CNLan). The CNLan is a color vision test designed for the railway industry. It presents 15 triplets of colored lights that could be any combination of red, green and yellow. The test was viewed from 4.6 m and 2.3 m. Sixty-seven color-defectives participated in the first part of the study. Sixty-six percent of the subjects repeated the experiment 10 days later. There was a significant (P < 0.05) decrease in the mean number of errors from 7.6 to 4.3 as the distance decreased. There was also a corresponding increase in the percentage of subjects who passed from 9.0% at 4.6 m to 20.9% at the 2.3 m viewing distance. None of the subjects who passed at the longer distance failed at the shorter distance. The replication results were statistically identical to the first session (P > 0.05). Decreasing the CNLan viewing distance by 50% does decrease the number of errors and increase the pass rate. This indicates that some color-defectives could work in the railway yards where the sighting distances for the signal lights are shorter than on the main track.

Color Perception↗

Visual distance estimation in static compared to moving virtual scenes.

Visual motion is used to control direction and speed of self-motion and time-to-contact with an obstacle. In earlier work, we found that human subjects can discriminate between the distances of different visually simulated self-motions in a virtual scene. Distance indication in terms of an exocentric interval adjustment task, however, revealed linear correlation between perceived and indicated distances but with a profound distance underestimation. One possible explanation for this underestimation is the perception of visual space in virtual environments. Humans perceive visual space in natural scenes as curved, and distances are increasingly underestimated with increasing distance from the observer. Such spatial compression may also exist in our virtual environment. We therefore surveyed perceived visual space in a static virtual scene. We asked observers to compare two horizontal depth intervals, similar to experiments performed in natural space. Subjects had to indicate the size of one depth interval relative to a second interval. Our observers perceived visual space in the virtual environment as compressed, similar to the perception found in natural scenes. However, the nonlinear depth function we found can not explain the observed distance underestimation of visual simulated self-motions in the same environment.

Adult↗

Comparison of two indicators of perceived egocentric distance under full-cue and reduced-cue conditions.

It has not been established that walking without vision to previewed targets is indeed controlled by perceived distance. To this end, we compared walking and verbal report as distance indicators, looking for a tight covariation in responses that would indicate control by a common variable. Targets from 79-500 cm away were presented under dark and well-lit conditions. Both verbal reports and walking indicated overestimation of near targets and underestimation of far targets under dark viewing conditions. Moreover, the finding that verbally reported distance plotted essentially as a single-valued function of walked distance and vice versa is evidence that both indicators were responding to the same internal variable, ostensibly perceived distance. In addition, binocular parallax, absolute motion parallax, and angular elevation were evaluated as distance cues, and only angular elevation exerted a large influence on perceived distance.

Adult↗

Effects of posthypnotic suggestion on perceived egocentric distance.

The effects of posthypnotic suggestion on the perception of egocentric distance were evaluated by two methods, one direct and the other indirect. The direct method was the verbal report of the perceived distance of the stimulus. The indirect method used a measure based on apparent concomitant motion of the stimulus with a lateral movement of the head. The indirect method, unlike the direct method, has been shown to be insensitive to cognitive biases. Two highly trained hypnotic observers received posthypnotic suggestions to see a point of light at approximately 2, 4, or 6 ft (61, 122, or 183 cm) from themselves. For each suggested distance the light was physically at 2, 4, or 6 ft. As a control, trails were completed using these same physical distances without the posthypnotic suggestions. Nine experimental trails, one for each combination of suggested distance and physical distance, constituted a trial set. One observer completed three sets, and the other completed two sets. It was found that the posthypnotic suggestions affected the direct but not the indirect measures of the perceived distances of the light.

Adolescent↗

Binocular cues in the perception of distance of a point source of light.

The ability to make egocentric distance estimates of a single point source of light, seen in darkness and without the cues of changing size and luminance, was investigated in sixteen observers. The attenuation required to maintain constant luminance, when the target was viewed from different distances, was shown to follow the inverse square law providing the angle subtended by the light was less than 20 s arc. Distance changes were also simulated by means of a split mirror which produced vergence cues, or by test lenses to provide accommodation cues. Over the range 0.5 to 9.2 m distance estimates were surprisingly accurate, although there was some overestimation of near and underestimation of far distances. Most observers made good judgements when only convergence cues were varied, whereas no observers made consistently good judgements when only accommodation cues were varied. The difficulties are discussed in terms of the accommodation-convergence link. When distance was simulated by changing convergence and accommodation cues, estimates were not as good as when real distance was changed. Since good estimates were made with brief target exposures, these judgements were not based on subsequent convergence or accommodation changes. It is suggested that the metric or reference against which the apparently absolute judgements were made was the efferent demand signal associated with a 'resting' position of convergence in darkness.

Accommodation, Ocular↗

Stereoscopic acuity and observation distance.

The amount of depth perceived from a fixed pattern of horizontal disparities varies with viewing distance. We investigated whether thresholds for discriminating stereoscopic corrugations at a range of spatial frequencies were also affected by viewing distance or whether they were determined solely by the angular disparity in the stimulus prior to scaling. Although thresholds were found to be determined primarily by disparity over a broad range of viewing distances, they were on average a factor of two higher at the shortest viewing distance (28.5 cm) than at larger viewing distances (57 to 450 cm). We found the same pattern of results when subjects' accommodation was arranged to be the same at all viewing distances. The change in thresholds at close distances is in the direction expected if subjects' performance is limited by a minimum perceived depth.

Accommodation, Ocular↗

Effect of familiar size on judgments of relative size and distance.

Carlson and Tassone (1971) found that for far viewing distances a person was judged taller in objective size, smaller in apparent size, and more distant than a board of the same size and at the same distance as the person. The purpose of this experiment was to replicate Carlson and Tassone's findings for near viewing distances. Subjects compared to size and distance of familiar and unfamiliar objects viewed from a distance of 5.3 m. The two objects were judged equal in both apparent and objective size and the familiar object was judged as more distant than the unfamiliar object. It is suggested that the distance results can best be explained in terms of the detail pattern cue rather than the familiar size cue to relative distance.

Adolescent↗

Simultaneous investigation of effects of distance of projection and object size on object reception by children in grade 1.

This study examined simultaneously the effects of distance of projection (4-, 6-, and 8-horizontal ft.) and object size (6-, 8.5-in., and 10-in. diameter balls) on object reception by children in the first grade. 6 boys and 6 girls were randomly assigned to each of the 3 distances (36 subjects total). Each subject was administered 36 trials, 12 attempted catches with each ball size at their assigned distance. All balls were projected by a device designed to control accuracy as well as the angle of projection for projections to each distance. Each attempted each was evaluated by a 5-point scale (r = .96). Trials, sex, distance of projection, ball size, and related interactions were examined using a conventional analysis of variance. Ball size was the only significant main effect, but the interaction between ball size and sex was also significant. Post hoc analysis indicated that the 10-in. ball gave significantly more catching success than the 8.5- or the 6-in. ball. Although more success in catching was achieved with the larger ball sizes, no difference in catching was attributable to the varying distances. The sequences for catching success according to ball size at each distance were not significantly different.

Child↗

Estimation of distances of recorded sounds presented through headphones.

Intermittent sounds generated at 270 degrees azimuth and from distances ranging from 2 to 10 feet were recorded on magnetic tape and played back to listeners via headphones. Loudness cues for relative distance were eliminated at the time of recording. Listeners were required to estimate the apparent distance of the recorded sounds when heard monoaurally and binaurally. Most subjects estimated the order of distances correctly. Distance estimations were as proficient when listening monaurally as when listening binaurally. Performance was more accurate for high-pass (greater than 4.0 kHz) noise bursts than for low-pass (less than 1.0 kHz) noise bursts. In a second study, broad-band noise bursts were recorded from azimuthal positions of 360 degrees, 330 degrees, 300 degrees and 270 degrees again at distances ranging from 2 to 10 feet. Estimations of the distances of the sounds, presented via headphones, were most proficient when azimuthal position of the original stimuli was 330 degrees.

Acoustic Stimulation↗

Distances appear different on hills.

When walking effort is increased due to manipulations such as wearing heavy backpacks, people perceive hills to be steeper and distances to be farther (Bhalla & Proffitt, 1999; Proffitt, Stefanucci, Banton, & Epstein, 2003). On the basis of these findings, we expected people to overestimate distances on steep hills relative to the same distances on flat ground, because of the increased effort required to ascend or descend them. This hypothesis is in contrast to the belief that distances are specified solely by optical and oculomotor information related to the geometry of the environment. To test the hypothesis, we investigated distance estimation on hills and flat terrains in natural and virtual environments. We found that participants judged steep uphill and downhill distances to be farther than the same distances on flat terrain. These results are inconsistent with the idea that spatial layout is perceived solely in terms of geometry, lending partial support to an effort hypothesis.

Adult↗