Equivalent intrinsic blur in spatial vision

Abstract

We used Gaussian blurred stimuli to explore the effect of blur on three tasks: (i) 2-line "resolution"; (ii) line detection; and (iii) spatial interval discrimination, in both central and peripheral vision. The results of our experiments can be summarized as follows. (i) 2-Line "resolution": thresholds for pairs of unblurred, low contrast, stimuli are approx. 0.5 min arc in the fovea. When the stimulus blur is small, it has little effect upon 2-line "resolution"; however, when the stimulus blur, sigma, exceeds 0.5 min, thresholds are degraded. We operationally define this transition point as the equivalent intrinsic blur or Bi. When the standard deviation of the stimulus blur, sigma, is greater than Bi, then the "resolution" threshold is approximately equal to sigma. Both the unblurred "resolution" threshold, and the equivalent intrinsic blur, Bi, vary with eccentricity in a manner consistent with the variation of cone separation within the central 10 deg. When the stimulus blur exceeds the equivalent intrinsic blur, "resolution" in the periphery is the same as in the fovea. (ii) Line detection: when the standard deviation of the stimulus blur, sigma, is less than Bi, then the line detection threshold is approximately inversely proportional to sigma (it is approximately TdBi/sigma) i.e. it obeys Ricco's law. When the standard deviation of the stimulus blur, sigma, is greater than Bi, then the "resolution" threshold is approximately equal to sigma and the detection threshold is approximately a fixed contrast (to be referred to as Td). According to (i) and (ii), the equivalent intrinsic blur, Bi, plays a dual role in determining both the "resolution" threshold and the detection threshold, Bi corresponds to the "Ricco's diameter" for spatial summation in a detection task, and it also corresponds to the "resolution" threshold for thin lines. This connection between detection and "resolution" is somewhat surprising. (iii) Spatial interval discrimination: thresholds are proportional to the separation of the lines (i.e. Weber's law). At the optimal separation, the thresholds represent a "hyperacuity" (i.e. they are smaller than the "resolution" threshold). For unblurred lines, the optimal separation is approximately 2-3 times the "resolution" limit at all eccentricities, so the optimal separation varies with eccentricity at the same rate as the equivalent intrinsic blur, Bi. However, the optimal spatial interval threshold falls off with eccentricity about 3-4 times more rapidly, consistent with the rate of decline of other position acuity tasks.(ABSTRACT TRUNCATED AT 400 WORDS)