2021
DOI: 10.1167/jov.21.11.18
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The generality of the critical spacing for crowded optotypes: From Bouma to the 21st century

Abstract: It is rare to find a crowding manuscript that fails to mention “Bouma's law,” the rule of thumb stating that flankers within a distance of about one half of the target eccentricity will induce crowding. Here we investigate the generality of this rule (even for just optotypes), the factors that modulate the critical spacing, and the evidence for the rule in Bouma's own data. We explore these questions by reanalyzing a variety of studies from the literature, running several new control experiments, and by utiliz… Show more

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Cited by 13 publications
(17 citation statements)
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“…Theoretically, results from just an unflanked measurement and a single nominal spacing may be sufficient to determine the critical spacing ( Song et al., 2014 ), although this depends on assumptions about testing conditions. Critical spacings obtained with this procedure have been shown to be consistent with critical spacings obtained with the more commonplace procedure of fixing the letter size and testing different absolute flanker spacings ( Coates et al., 2021 ). On the other hand, this procedure is sensitive to limitations from both target resolution as well as influence from the flankers, so the source of errors in a given condition may not be readily apparent, although we discuss an analysis that addresses this issue.…”
Section: Methodssupporting
confidence: 65%
See 1 more Smart Citation
“…Theoretically, results from just an unflanked measurement and a single nominal spacing may be sufficient to determine the critical spacing ( Song et al., 2014 ), although this depends on assumptions about testing conditions. Critical spacings obtained with this procedure have been shown to be consistent with critical spacings obtained with the more commonplace procedure of fixing the letter size and testing different absolute flanker spacings ( Coates et al., 2021 ). On the other hand, this procedure is sensitive to limitations from both target resolution as well as influence from the flankers, so the source of errors in a given condition may not be readily apparent, although we discuss an analysis that addresses this issue.…”
Section: Methodssupporting
confidence: 65%
“…The more common approach nowadays is to test target and flankers of a single size at different spacings and construct a performance versus spacing curve ( Toet & Levi, 1992 ). The two methods give comparable results for critical spacing, with empirical and theoretical issues summarized in Coates et al. (2021) .…”
Section: Methodsmentioning
confidence: 71%
“…Although this method confounds size and separation by varying both, the extent of amblyopic and peripheral crowding is limited by center-to-center separation and not target size ( Hariharan, Levi, & Klein, 2005 ). As such, only the variations in center-to-center separation should affect the strength of crowding and thus the measurement of its extent ( Levi, Song, & Pelli, 2007 ; Song, Levi, & Pelli, 2014 ; Coates, Ludowici, & Chung, 2021 ). The resulting threshold gave the upper bound for the sizes and target–flanker separations used in the orientation-matching task, ensuring that stimuli were placed within the spatial extent of crowding.…”
Section: Methodsmentioning
confidence: 99%
“…Although this method confounds size and separation by varying both, the extent of amblyopic and peripheral crowding are limited by centre-to-centre separation and not target size (Hariharan, Levi, & Klein, 2005). As such, it is only the variations in centre-to-centre separation that should affect the strength of crowding, and thus the measurement of its extent (Levi, Song, & Pelli, 2007; Song, Levi, & Pelli, 2014; Coates, Ludowici, & Chung, 2021). The resulting threshold gave the upper bound for the sizes and target-flanker separations used in the orientation-matching task, ensuring that stimuli were placed within the spatial extent of crowding.…”
Section: Methodsmentioning
confidence: 99%