Vernier acuity with compound gratings: the whole is equal to the better of its parts

Abstract

To evaluate the relative importance of local feature and spatial filter models for hyperacuity, vernier thresholds were determined for gratings consisting of a fundamental ( F o) and third harmonic (3 F) presented alone, and added together in compound gratings where the relative phase offsets of 3 F to F o was 0, 90, 180 and 270°. Thresholds were determined for a range of spatial frequencies of F o (0.5–16 c deg −1) for abutting and non-abutting stimuli. Compound grating vernier performance was found to be: (i) invariant with relative phase offset for the abutting and non-abutting conditions; and (ii) predictable from the vernier thresholds for the individual grating components making up the compound stimulus. The results support a view that supra-threshold components in a multi-frequency stimulus act independently and it is the spatial frequency content, not the local feature characteristics, which limit vernier performance.