Sequential mapping of weighting functions for visual location

The effect upon perceived location of adding an extra dot offset from the centre of a cluster of pseudorandom dots was investigated using a vernier acuity task. With this technique, weighting functions showing the extent to which the added dot pulls the apparent location of the entire cluster can be defined as a function of distance from the centre of the cluster. When dot density within the cluster is high, the weighting functions approximate to what would be expected on the basis of centroid alignment. With low dot densities, it appears that performance is determined by aligning the outermost dots within each cluster. The peak amplitudes of these weighting functions are proportional to the square root of dot density within the clusters. The results are consistent with the view that each vernier element is localised in an orthoaxial direction prior to discrimination of the vernier offset.