Perception Of Mirror Symmetry Research Articles

Contribution of higher-order structure to perception of mirror symmetry: Role of shapes and corners.

Visual mirror symmetry is a global feature that is dependent on specific low-level relationships between component elements. Initially conceptualized as virtual lines between paired elements, it has been suggested that higher-order structure between pairs of symmetric elements forming virtual four cornered shapes may also be important for strengthening the percept of mirror symmetry. We utilize corner elements, formed by joining two Gabor elements along a central midline creating vertices with variable internal angles, in a temporal integration paradigm. This allows us to specifically manipulate the presence and type of higher-order versus lower-order structure in patterns with symmetrically placed elements. We show a significant contribution of higher-order structure to the salience of visual symmetries compared with patterns with only lower-order structures. We also find that although we are more sensitive to patterns with higher-order structure, there is no difference in the temporal processing of higher-order versus lower-order patterns. These findings have important implications for existing spatial filter models of symmetry perception that rely on lower-order structures alone and reinforces the need for elaborated models that can more readily capture the complexities of real-world symmetries.

Selectivity for Local Orientation Information in Visual Mirror Symmetry Perception

Selectivity for Local Orientation Information in Visual Mirror Symmetry Perception

Orientation of pattern elements does not influence mirror-symmetry perception

Stimuli used to study symmetry perception often lack orientation information. However, orientation noise decreases the salience of symmetrical shapes suggesting that the two signals may interact (Machilsen et al., 2009, JoV). Here we investigate whether (i) orientation and position-symmetry signals interact in the perception of symmetry (Experiment 1), and (ii) symmetry detection mechanisms are sensitive to the orientation of pattern elements (Experiment 2). Stimuli were patterns made of oriented Gabors arranged either symmetrically about the vertical axis or randomly. We varied the amount of position-symmetry by changing the proportion of symmetrical Gabors and measured symmetry detection thresholds using a 2IFC procedure. Experiment 1 had two conditions: (a) ‘segregated’- position-symmetric Gabors had one orientation and the noise Gabors had a different orientation, and (b) ‘non-segregated’- position-symmetric Gabors were of two orientations in equal proportions, as were the random-positioned Gabors. We varied the separation between the two orientations (0°, 30°, 60°, 90°) in different trials. In Experiment 2, the orientation and position symmetry were manipulated independently. We used (a) position-symmetric patterns in which all Gabors had either the same (asymmetric), mirror-symmetric or random orientations. (b) position-symmetric Gabors had symmetric orientations and noise Gabors had random orientations and positions, (c) patterns with no position-symmetry, and varying amounts of orientation-symmetry. We found that symmetry detection thresholds were not significantly different for the segregated and non-segregated conditions, for all stimulus orientation differences (Experiment 1). The thresholds were also comparable across all conditions containing position-symmetry, but were significantly higher for the orientation-symmetry only (no position-symmetry) condition (Experiment 2). We conclude that symmetry detection mechanisms are not sensitive to orientation information. Although orientation is a dominant visual feature in many visual tasks, it does not affect symmetry detection even when the orientation signals are asymmetric, suggesting that symmetry detection mechanisms are solely reliant on position information.

Temporal dynamics of mirror-symmetry perception.

Recent studies have suggested that temporal dynamics rather than symmetrical motion-direction contribute to mirror-symmetry perception. Here we investigate temporal aspects of symmetry perception and implicitly, its temporal flexibility and limitations, by examining how symmetrical pattern elements are combined over time. Stimuli were dynamic dot-patterns consisting of either an on-going alternation of two images (sustained stimulus presentation) or just two images each presented once (transient stimulus presentation) containing different amounts of symmetry about the vertical axis. We varied the duration of the two images under five temporal-arrangement conditions: (a) whole patterns in which a symmetric pattern alternated with a noise pattern; (b) delayed halves—the halves of the symmetric and noise patterns were presented with temporal delay; (c) matched-pairs—two alternating images each containing equal amounts of symmetrical matched-pairs; (d) delayed matched-pairs—the same as arrangement (c), but with matched-pairs presented with delay; and (e) static—both images presented simultaneously as one. We found increased sensitivity in sustained compared to transient stimulus presentations and with synchronous compared to delayed matched-pairs stimuli. For the delayed conditions, sensitivity decreased gradually with longer image durations (>60 ms), prominently for the transient stimulus presentations. We conclude that spatial correlations across-the-symmetry-midline can be integrated over time (∼120 ms), and symmetry mechanisms can tolerate temporal delays between symmetric dot-pairs of up to ∼60 ms.

The role of motion and number of element locations in mirror symmetry perception

The human visual system has specialised mechanisms for encoding mirror-symmetry and for detecting symmetric motion-directions for objects that loom or recede from the observers. The contribution of motion to mirror-symmetry perception has never been investigated. Here we examine symmetry detection thresholds for stationary (static and dynamic flicker) and symmetrically moving patterns (inwards, outwards, random directions) with and without positional symmetry. We also measured motion detection and direction-discrimination thresholds for horizontal (left, right) and symmetrically moving patterns with and without positional symmetry. We found that symmetry detection thresholds were (a) significantly higher for static patterns, but there was no difference between the dynamic flicker and symmetrical motion conditions, and (b) higher than motion detection and direction-discrimination thresholds for horizontal or symmetrical motion, with or without positional symmetry. In addition, symmetrical motion was as easy to detect or discriminate as horizontal motion. We conclude that whilst symmetrical motion per se does not contribute to symmetry perception, limiting the lifetime of pattern elements does improve performance by increasing the number of element-locations as elements move from one location to the next. This may be explained by a temporal integration process in which weak, noisy symmetry signals are combined to produce a stronger signal.

The role of color and attention-to-color in mirror-symmetry perception.

The role of color in the visual perception of mirror-symmetry is controversial. Some reports support the existence of color-selective mirror-symmetry channels, others that mirror-symmetry perception is merely sensitive to color-correlations across the symmetry axis. Here we test between the two ideas. Stimuli consisted of colored Gaussian-blobs arranged either mirror-symmetrically or quasi-randomly. We used four arrangements: (1) ‘segregated’ – symmetric blobs were of one color, random blobs of the other color(s); (2) ‘random-segregated’ – as above but with the symmetric color randomly selected on each trial; (3) ‘non-segregated’ – symmetric blobs were of all colors in equal proportions, as were the random blobs; (4) ‘anti-symmetric’ – symmetric blobs were of opposite-color across the symmetry axis. We found: (a) near-chance levels for the anti-symmetric condition, suggesting that symmetry perception is sensitive to color-correlations across the symmetry axis; (b) similar performance for random-segregated and non-segregated conditions, giving no support to the idea that mirror-symmetry is color selective; (c) highest performance for the color-segregated condition, but only when the observer knew beforehand the symmetry color, suggesting that symmetry detection benefits from color-based attention. We conclude that mirror-symmetry detection mechanisms, while sensitive to color-correlations across the symmetry axis and subject to the benefits of attention-to-color, are not color selective.

The role of color in mirror-symmetry perception

The role of color in mirror-symmetry perception

Impaired and superior mirror symmetry perception in autism

Impaired and superior mirror symmetry perception in autism

Perception of mirror symmetry in autism spectrum disorders

Gestalt grouping in autism spectrum disorders (ASD) is selectively impaired for certain organization principles but for not others. Symmetry is a fundamental Gestalt principle characterizing many biological shapes. Sensitivity to symmetry was tested using the Picture Symmetry Test, which requires finding symmetry lines on pictures. Individuals with ASD showed decreased sensitivity to symmetry and a correlation of test performance with performance IQ. Decreased sensitivity for symmetry in ASD is discussed in relation to reduced visual experience of faces in early development.

Perception of mirror symmetry in amblyopic vision

Mirror symmetry is ubiquitous in natural visual scenes, and detection of mirror symmetry seems to be a global, automatic, effortless and important aspect of visual perception. The perception of mirror symmetry has not been studied in humans with amblyopia. In this paper we measured and quantified the detection of mirror symmetry in adults with naturally occurring amblyopia. Our results show that amblyopia may severely impair the detection of mirror symmetry, and that this impairment is not simply a consequence of reduced stimulus visibility. Rather, we suggest that this loss may reflect, at least in part, a deficit in the integration of local orientation information.

The functional role of oriented spatial filters in the perception of mirror symmetry — psychophysics and modeling

We investigated human sensitivity to vertical mirror symmetry in noise patterns filtered for narrow bands of variable orientations. Sensitivity is defined here as the amount of spatial phase randomization corresponding to 75% correct performance in a 2AFC detection task. In Experiment 1, sensitivity was found to be high for tests patterns of all orientations except those parallel to the axis of symmetry. This implies that corresponding mirror-orientations (e.g. −45 and +45°) are combined prior to symmetry detection. In Experiment 2, observers detected symmetry in tests of variable orientation in the presence of either non-symmetric or symmetric masks filtered for orientations either parallel or perpendicular to the axis. Observers were found to be primarily affected by masks of the same orientation as the test, thus suggesting that symmetry is computed separately in distinct mirror-orientation channels. In Experiment 3, observers detected a symmetric test of variable height and width embedded in random noise. Data revealed that mirror symmetry is computed over a spatial integration region (IR) that remains approximately constant in area but whose height-to-width aspect ratio changes from 20:1 to 2:1 as orientation is varied from parallel to perpendicular to the axis. We compare human data against that of an ideal observer to identify key factors that limit visual performance and discuss the implications for the functional architecture of symmetry perception. We also propose a multi-channel model of symmetry detection that combines the output of oriented spatial filters in a simple and physiologically plausible manner. Particular emphasis is placed on the notion that changes in the shape of the IR with orientation compensate for changes in information density and partially equate performance across orientations.

Perception of mirror symmetry reveals long-range interactions between orientation-selective cortical filters.

We investigated perceptual interactions between orientation selective cortical filters using a task in which the observer was to detect mirror symmetry in briefly flashed visual patterns composed of oriented Gabor elements. On each trial, the Gabor patches were randomly placed in one half of the stimulus region, and symmetry was generated by reflecting the positions of the patch centers across the vertical axis. A prespecified proportion of patches were in mirror symmetrical positions with the remaining patches placed at random positions. The perception of mirror symmetry was measured for three stimulus conditions: (1) same orientation (i.e. all the local Gabor elements were either vertical or horizontal), (2) mixed matching (i.e. the orientations could be randomly both vertical and horizontal with the constraint that the orientations in a mirror symmetrical pair were matching), and (3) mixed opposing (i.e. the orientations were both vertical and horizontal, but in a mirror symmetrical pair they were always orthogonal). We found that the perception of global symmetry was poorer (thresholds were elevated) when the local orientations of feature pairs were orthogonal than when they were matched. This result is consistent with the properties of the neurons in the corpus callosum, which selectively interconnect cortical filters with identical orientation specificity.