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Pairwise comparison technique: a simple solution for depth reconstruction.

A new technique dramatically simplifies the analysis of matching and depth reconstruction by extracting three-dimensional rigid depth interpretation from pairwise comparisons of weak perspective projections. This method provides a simple linear criterion for testing the correctness of correspondence for a pair of images; the method also provides a description of a one-parameter family of interpretations for each pair of images that satisfies this criterion. We show that if at least three projections of a volumetric object are known, then a three-dimensional (3D) rigid interpretation can be inferred from pairwise comparisons between any one of these images and other images in the set. The 3D interpretation is derived from the intersection of corresponding one-parameter families. The method provides a common computational basis for different processes of depth perception, for example, depth-from-stereo and depth-from-motion. Thus, a single mechanism for these processes in the human visual system would be sufficient. The proposed method does not require information about relative positions of eye(s) or camera(s) for different projections, but this information can be easily incorporated. The method can be applied for pairwise comparison within a single image. If any nontrivial correspondence is found, then several views of the same object are present in the same image. This happens, for example, in views of volumetrically symmetric objects. Symmetry facilitates depth reconstruction; if an object possesses two or more symmetries, its depth can be reconstructed from a single image.

Algorithms↗

Two-dimensional matches from one-dimensional stimulus components in human stereopsis.

Three-dimensional visual scenes project onto the retina of the eye as two-dimensional images. The third dimension, depth, is projected as subtle differences between left and right retinal images. As early as the 1830s, stereoscopic depth perception was shown to depend on horizontal disparities between these images. To detect disparity, the visual system must match corresponding parts of the two retinal images. To identify the stimulus elements used in stereo matching, I applied a disparity-adaptation technique to visual patterns whose one-dimensional components and two-dimensional features have very different disparities. Surprisingly, the adaptors that are effective in altering depth perception appear widely separated in depth from the patterns they adapt. I conclude that stereo matching occurs in all directions of two-dimensional space and that one-dimensional components are the stimulus primitives, the fundamental elements of stereo matching. This is a reversal of the classical view of stereo correspondence as a one-dimensional (horizontal) matching of monocular two-dimensional features.

Depth Perception↗

Suprathreshold stereo-depth matches as a function of contrast and spatial frequency.

Thresholds for stereoscopic-depth perception increase with decreasing spatial frequency below 2.5 cycles deg-1. Despite this variation of stereo threshold, suprathreshold stereoscopic-depth perception is independent of spatial frequency down to 0.5 cycle deg-1. Below this frequency the perceived depth of crossed disparities is less than that stimulated by higher spatial frequencies which subtend the same disparities. We have investigated the effects of contrast fading upon this breakdown of stereo-depth invariance at low spatial frequencies. Suprathreshold stereopsis was investigated with spatially filtered vertical bars (difference of Gaussian luminance distribution, or DOG functions) tuned narrowly over a broad range of spatial frequencies (0.15-9.6 cycles deg-1). Disparity subtended by variable width DOGs whose physical contrast ranged from 10-100% was adjusted to match the perceived depth of a standard suprathreshold disparity (5 min visual angle) subtended by a thin black line. Greater amounts of crossed disparity were required to match broad than narrow DOGs to the apparent depth of the standard black line. The matched disparity was greater at low than at high contrast levels. When perceived contrast of all the DOGs was matched to standard contrasts ranging from 5-72%, disparity for depth matches became similar for narrow and broad DOGs. 200 ms pulsed presentations of DOGs with equal perceived contrast further reduced the disparity of low-contrast broad DOGs needed to match the standard depth. A perceived-depth bias in the uncrossed direction at low spatial frequencies was noted in these experiments. This was most pronounced for low-contrast low-spatial-frequency targets, which actually needed crossed disparities to make a depth match to an uncrossed standard. This bias was investigated further by making depth matches to a zero-disparity standard (ie the apparent fronto-parallel plane). Broad DOGs, which are composed of low spatial frequencies, were perceived behind the fixation plane when they actually subtended zero disparity. The magnitude of this low-frequency depth bias increased as contrast was reduced. The distal depth bias was also perceived monocularly, however, it was always greater when viewed binocularly. This investigation indicates that contrast fading of low-spatial-frequency stimuli changes their perceived depth and enhances a depth bias in the uncrossed direction. The depth bias has both a monocular and a binocular component.

Depth Perception↗

Contribution of middle temporal area to coarse depth discrimination: comparison of neuronal and psychophysical sensitivity.

Recent work suggests that the middle temporal (MT) area contributes to depth perception in addition to its well established roles in motion perception. To determine whether single MT neurons carry disparity signals with sufficient fidelity to account for depth perception, we have compared neuronal and psychophysical sensitivity to disparity while monkeys discriminated between two coarse disparities (near vs far) in the presence of noise. The strength of the visual stimulus was titrated around psychophysical threshold by varying the percentage of binocularly correlated dots in a random dot stereogram. We find that the average MT neuron has sensitivity equal to that of the monkey, as was reported previously for direction discrimination in MT. We further address some important factors that could bias the neuronal/psychophysical sensitivity comparison, including the possibility that monkeys reach a decision before the end of the stimulus presentation. Unlike the predictions of a simple model that uses Poisson spiking statistics, the sensitivity of many MT neurons has little dependence on the time interval over which spikes are counted to compute a neuronal threshold. Thus the response properties of many MT neurons appear to be adapted for rapid discrimination of depth, and we describe how temporal variations in both signal and noise contribute to this effect. We therefore predicted that psychophysical thresholds should exhibit little dependence on viewing duration in our task, and this was confirmed by additional behavioral experiments. Overall, our findings show that MT is well suited to provide sensory signals that form the basis for perceptual judgments of depth.

Action Potentials↗

A threshold explains modulation of neural responses to opposite-contrast stereograms.

Disparity-sensitive neurons respond to contrast-inverted stereograms (aRDS) that do not evoke depth percepts. This is in conflict with the idea that such neurons are the direct correlate of depth perception. However, the output of neurons responding to aRDS may be further processed: neurons at later processing stages show weaker responses to aRDS than early stage neurons. Here, we show that such a response hierarchy emerges in a three-layered neural network. A numerical analysis demonstrates that threshold operations can largely explain the network's behavior as well as the electrophysiological data. An extension of the energy neuron model for disparity-sensitive neurons predicts increased responses to aRDS for an identifiable sub-class of cells and can thus be tested in electrophysiological experiments.

Action Potentials↗

Lateral differences in the detection of stereoscopic depth.

The experiment investigated the hemifield differences in stereoscopic depth perception. Random dot stereograms (Julesz figures) producing the experience of a square appearing in front or behind the fixation plane were used as stimuli. The patterns in depth were exposed either in the left or in the right side of the stereograms for 30 msec. Three different magnitudes of depth were used. The results showed a higher amount of correct detections of depth in the left visual field than in the right visual field. The effects of direction and magnitude of depth were also significant. The hypothesis referring the observed results to the right hemisphere superiority in stereoscopic depth perception is discussed.

Adolescent↗

Using movement parallax for 3D laparoscopy.

The lack of depth perception hampers the surgeon during laparoscopic operation. Laparoscopes usually are monocular, but binocular ones are currently available. Depth perception, however, does not exclusively rely on binocular disparity. An observer, with only one eye, who is able to move that eye, obtains the same information as an observer who has two eyes. This principle of movement parallax can be applied to laparoscopy by coupling the head movements of the surgeon to the motions of the tip of the laparoscope. In an experiment we investigated if this principle is applicable to laparoscopy. Two groups of testees with no background in surgery were used. The first group was assisted by movement parallax, the second group was viewing a static image. Both groups of testees had to perform an exploration and a manipulation task. Since the amount of space for camera motion within the laparoscope is limited, implementation potential depends on the amount of movements that will be made by the observer. Therefore the movements of the observer performing the exploration task were registered and analysed. Results of the experiment indicate the advantage of movement parallax for the exploration task (performance increases by factor 2 while using only 30% more time) but not for the manipulation task. The analysis of the movements indicates that small movements are sufficient for implementation. Based on these results we concluded that movement parallax is applicable to laparoscopy.

Depth Perception↗

A new training device for laparoscopic cholecystectomy.

Laparoscopic cholecystectomy provides a new approach for gallbladder removal with which most general surgeons are not familiar. Requisites for the safe performance of this procedure are good hand-eye coordination, depth perception, and team cooperation. To aid with problems in depth perception and in the opposing movements caused by the lever principle, a training model was designed in which surgeons may execute a variety of exercises to enhance their motor skills and learn to work cooperatively with two other surgeons before operating on an experimental animal.

Cholecystectomy↗

Perception of motion trajectory of object from the moving cast shadow in infants.

A moving cast shadow of the object affects the perception of the object's trajectory in adults [Kersten, D., Mamassian, P., & Knill, D. C. (1997). Moving cast shadow induce apparent motion in depth. Perception, 26, 171-192]. In the present study, we investigated by using a habituation-dishabituation procedure whether infants at 4- to 7-months old discriminate the motion trajectory of a ball from the moving shadow it casts. In Experiment 1, 4- to 5-month-old and 6- to 7-month-old were tested for ability to discriminate between a "depth" display containing a ball and a cast shadow with a diagonal trajectory and an "up" display containing a ball with a diagonal trajectory and a cast shadow with a horizontal trajectory. Six- and 7-month-old, but not 4- and 5-month-old, infants looked significantly longer at the "up" display than at the "depth" display. In Experiment 2, we tested whether 4- to 5-month-old and 6- to 7-month-old infants would perceive "up" motion as categorically different from "depth" depending on the object's 3-D trajectory. We used displays containing a ball and a cast shadow with the same trajectories as those in Experiment 1 except that the cast shadows appeared above the ball. These displays did not produce 3-D impressions in adults. Neither age group of infants exhibited significant differences between "up" and "depth" displays. When the results from the two experiments are considered, 6- and 7-month-old infants discriminated the motion trajectory of the ball from the moving cast shadows. This developmental emergence of depth perception from a moving cast shadow at 6 months of age is consistent with that of other pictorial depth cues.

Aging↗

Subjective effects of displacement errors in electronically processed stereo-television pictures.

Several aspects of the roles of object contours and of rivalry and suppression in binocular vision are considered in a TV engineering context. Three experiments, using 3D b/w stills, were conducted to explore subjective effects of irregular horizontal shifts at object contours (displacement errors), which are expected to be a typical picture impairment problem of future 3D TV multi-viewpoint systems. Performance and rating tasks on a wide range of impairment magnitudes and various picture parameters served to give a quantitative estimate of the influence of displacement errors on: (1) correctness of binocular depth perception; and (2) picture quality. Two experiments (constant vs. variable location of impairments over time) with vertical grating stimuli showed binocular depth perception to withstand levels of up to 90% misplaced contour elements in one part of the stereo pair. Quality assessments were much more critical. They depended both on the proportion of impaired pixels and on the maximum horizontal width of individual impairments. A corresponding stimulus model was found to be valid for pictures with natural content, too. Impairments were less annoying when visible by only one eye instead of both. A specific formulation is given of the influence of contrast and spatial frequency features on performance.

Adult↗

Stereoscopic illusion based on the proximity principle.

A class of ambiguous random-dot stereograms were created that share the following interesting property: Although the binocular disparity forms a periodic 'sawtooth' waveform as a function of row number (the disparity is constant for a given row), these stimuli yield a monotonically increasing depth percept along the rows. The random-dot pattern of each row is periodic along the horizontal direction for the purpose of producing an ambiguous depth percept. It is this ambiguity that makes it possible for the periodic stimulus to give rise to a monotonic percept. This monotonic percept is substantially enhanced when the rows are shown in temporal sequence instead of all being displayed together. Experiments are reported which indicate that this illusion is due to the proximity, or pulling, effect in stereopsis.

Depth Perception↗

Industrial visual screening. Advantages and disadvantages of various instruments.

The ideal test for visual screening is one which is easily performed by a technician with limited training, inexpensive and not time-consuming, easily understandable by all applicants, and one which will correspond generally with a more thorough examination by an ophthalmologist. The ideal screening technique should test accurately those functions needed for any particular occupation. The visual screeners now in great preponderance have certain advantages for ease and are generally acceptable for approximating the visual acuity. Visual screeners do not accurately test the astigmatic applicant, and they have not proven their value in testing depth perception and color vision. The use of the Harrington Flocks Screener is recommended for testing the visual field. The use of the Verhoeff Steropter for depth perception and the American Optical pseudoisochromatic plates for color testing is recommended when these tests are needed. The old Snellen test cards, or the projector chart for measuring distance vision, and the test cards for measuring near vision are often much more reliable than are the visual screeners.

Color Vision↗

Antiphase flicker induces depth segregation.

We examined the influence of the temporal phase of flickering stimuli on perceptual organization. When two regions of a uniform random-dot field are flickered in temporal alternation with the same flicker rate, one of the regions appears to lie in front of the other. Within the range of temporal frequencies used in the present experiments, depth perception was maximal between 5 and 31.3 Hz. Which region of the two is perceived as lying in front is different from person to person and sometimes fluctuates within the same subject, but when two regions are of different sizes, the smaller region tends to be perceived in front for longer than the larger region. The depth segregation was not due to a luminance difference, because the average temporal luminance of the regions was kept equal. Strikingly, the illusory depth segregation is perceived even between two adjacent regions whose densities of dots, sizes, shapes, and flicker rates are identical. This result suggests that a difference of temporal phase between two flickering regions is crucial for this new depth perception.

Adult↗

Visual risk factors for falls in older people.

Poor vision reduces postural stability and significantly increases the risk of falls and fractures in older people. Most studies have found that poor visual acuity increases the risk of falls. However, studies that have included multiple visual measures have found that reduced contrast sensitivity and depth perception are the most important visual risk factors for falls. Multifocal glasses may add to this risk because their near-vision lenses impair distance contrast sensitivity and depth perception in the lower visual field. This reduces the ability of an older person to detect environmental hazards. There is now evidence that maximising vision through cataract surgery is an effective strategy for preventing falls. Further randomised controlled trials are required to determine whether individual strategies (such as restriction of use of multifocal glasses) or multi-strategy visual improvement interventions can significantly reduce falls in older people. Public health initiatives are required to raise awareness in older people and their carers of the importance of regular eye examinations and use of appropriate prescription glasses.

Accidental Falls↗

Behavioral studies of local stereopsis and disparity vergence in monkeys.

Investigations on macaque monkeys have provided much of our knowledge of the neural mechanisms of binocular vision, but there is little psychophysical data on the accuracy of vergence responses or the precision of stereoscopic depth perception in these primates. We have conducted comparative behavioral studies of binocular disparity processing in rhesus monkeys and humans via measurements of prism-induced fixation disparities (disparity vergence) and relative depth discrimination for spatially localized stimuli (local stereopsis). The results of these studies demonstrated a remarkable similarity in both the oculomotor and the sensory aspects of binocular vision in the two species when the stimulus dimensions were specified in visual angles, which were independent of interocular separation. The disparity vergence functions for the two species revealed fusion responses over the same range of prism-induced vergence and comparable vergence errors for stimuli near their fusional limits. Disparity vergence responses were independent of the spatial frequency of the binocular fusion stimulus. Stereothresholds as a function of the spatial frequency of the difference-of-Gaussian stimuli were of the same form, with equivalent stereoacuities, in monkey and human observers. The presence of substantial vergence errors had only a small effect on the precision of stereoscopic depth perception. We conclude that, after compensation for the differences in the lateral separation of their eyes, the operating characteristics of disparity vergence and stereoscopic vision are virtually identical in rhesus monkeys and humans and, consequently, the performance limits for these visual functions must be determined by anatomical and/or neural constraints that are similar in both species.

Animals↗

A real-time video pattern generator for use in ophthalmology.

An automated real-time microcomputer-based video pattern generator for use in optometry and ophthalmology is presented. The system can generate various vision pattern tests including a static and dynamic random dot stereogram that can be used to test depth perception. The patterns are generated in real time, which provides the ability to generate programmable images with objects that can move at different speeds. This feature is very useful in testing depth perception among infants and non-communicative people by correlating the movement of the eye with the movement of the object. The system also can generate other patterns such as checkerboards, vertical and horizontal bars, and provide the ability to sweep the size of the checkers and bars. These patterns are also useful for testing visual acuity. The system hardware is based on the TMS34010 graphics processor and hardware circuits and is connected to a host computer through a RS-232C serial communication port. Both control and application programs are written in assembly language. The system is fast, versatile and flexible with affordable cost.

Computer Graphics↗