A Visual Sense of Number

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Presentation transcript:

A Visual Sense of Number David Burr, John Ross  Current Biology  Volume 18, Issue 6, Pages 425-428 (March 2008) DOI: 10.1016/j.cub.2008.02.052 Copyright © 2008 Elsevier Ltd Terms and Conditions

Figure 1 The Effect of Adaptation on Numerosity (A) Sample psychometric functions with (filled circles) and without (open squares) adaptation, plotting the proportion of trials where the probe seemed more numerous, as a function of number of test dots. The vertical dashed lines indicate the PSE of the match, about three times higher than the probe number (indicated by the arrow) after adaptation. (B) Magnitude of adaptation (ratio of test to probe dot number at PSE) as a function of the number of dots in the probe (symbols as for Figure 1A). The error bars (here and elsewhere) show ± 1 standard error of the mean (SEM), calculated by bootstrap. For a wide range of numerosities, adaptation caused a doubling of the matched number. Current Biology 2008 18, 425-428DOI: (10.1016/j.cub.2008.02.052) Copyright © 2008 Elsevier Ltd Terms and Conditions

Figure 2 Effect of Numerosity and Contrast of the Adaptor (A and B) Effect of adaptor numerosity and density on apparent numerosity of a 50 dot probe. The red circles refer to adaptor and test dots of 6 pixel (20 arcmin) diameter and the squares to adapters of 8 × 8 and tests of 3 × 3 pixels (7 times more adapt than test pixels for matched numerosity). In all cases, the adapters were of 50% Michelson contrast, and the tests were 100%. Adaptation occurs for both high and low adaptation numbers and is independent of pixel density. (C) Effect of adaptor contrast on apparent numerosity of a 30 dot probe (red symbols indicate DB, blue symbols indicate PB). The vertical dashed lines indicate the contrast threshold for detection of the patterns (see the Experimental Procedures), and the horizontal lines indicate the matches with no adaptation. Adaptation effects were pronounced down to near-threshold contrasts. Current Biology 2008 18, 425-428DOI: (10.1016/j.cub.2008.02.052) Copyright © 2008 Elsevier Ltd Terms and Conditions

Figure 3 Effect of Element Size and Shape (A) Effect of adaptor orientation. Subjects adapted to a field of 200 vertical elements (3 × 10 pixels) and matched a field of either vertical or horizontal same-sized elements to a probe (same orientation as test). The effects of orthogonal and parallel adapters were similar. (B) Psychometric curves for matching numerosity of element arrays that were the same (5 × 5 or 5 × 20 pixels), small with large, or large with small. Element size and shape has very little effect of either PSE or Weber fraction (given by the function width), suggesting that the matches were based solely on number of elements. Current Biology 2008 18, 425-428DOI: (10.1016/j.cub.2008.02.052) Copyright © 2008 Elsevier Ltd Terms and Conditions