1993
DOI: 10.1037/0096-1523.19.2.364
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Skewed symmetry: A nonaccidental property used to perceive visual forms.

Abstract: Mathematically, skewed symmetry is a nonaccidental property because it can be interpreted as bilateral symmetry in depth viewed from a nonorthogonal angle. To find out whether this is a useful property in the perception of visual forms, 4 experiments were designed in which the Ss had to determine whether 2 symmetric or random patterns were the same regardless of possible affine transformations between them. The results provided mixed evidence: Although there was always a large symmetry advantage, skewed symmet… Show more

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Cited by 87 publications
(88 citation statements)
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“…However, when a symmetrical pattern is tilted relative to the frontal plane, its features in the image projected to the retinae are no longer symmetrical. Nonetheless, the detection advantage seems to be robust even in these cases of skewed symmetry although it is clearest if symmetry is present in several axes Wagemans, 1993). However, not all symmetries are equal.…”
Section: Symmetrymentioning
confidence: 99%
“…However, when a symmetrical pattern is tilted relative to the frontal plane, its features in the image projected to the retinae are no longer symmetrical. Nonetheless, the detection advantage seems to be robust even in these cases of skewed symmetry although it is clearest if symmetry is present in several axes Wagemans, 1993). However, not all symmetries are equal.…”
Section: Symmetrymentioning
confidence: 99%
“…, 1992, but this result may be partly due to the particular experimental conditions (dot patterns with affine skewing). Casual observations with polygons (Stevens, 1980), as well as a few experimental results (Wagemans, 1993), suggest that polygons (which are more representative for object contours than dot patterns) may be less affected by skewing. Surface contours embedded in 3-D objects may even be less affected, as seems to be implied by our recent finding that the skewed symmetry of top and side surfaces of cubes affects the perceived global object structure (Van Lier & Wagemans, in press).…”
Section: Evolutionary Considerations •mentioning
confidence: 99%
“…Also, if the point pattern happened to have two points close together or three points almost collinear, this property was easy to verify for the other pattern: If it was also present, participants tended to respond same; if it was not, they tended to respond different (likewise for parallel configurations). Convexity, proximity, coUinearity, and parallelism are referred to as qualitative invariants (or nonaccidental properties; see Biederman, 1987;Lowe, 1987;Wagemans, 1992Wagemans, , 1993to distinguish them from the numerical invariants discussed in the preceding section. This notion may be clarified by considering the properties of convexity/concavity, parallelism, and collinearity in turn.…”
Section: Qualitatively Invariant and Quasi-lnvariant Propertiesmentioning
confidence: 99%