To determine whether and how spatial integration takes place in positi
on acuity, bisection and Vernier thresholds were measured in the fovea
of four normal observers with spatially ''undersampled'' dark lines (
i.e. lines comprised of discrete samples). The size, contrast, and den
sity of samples, and the separation of the lines were varied. For a gi
ven sampling density, sample size (0.17-2.72 min) has negligible effec
t on position threshold. For all sample sizes, position threshold decr
eases as sampling density increases, indicating that spatial integrati
on takes place. The form of spatial integration depends on line separa
tion. At the optimal line separation (2 min for bisection and 0 min fo
r Vernier), position threshold decreases as sampling density increases
with a slope of about -0,8 on log axes, steeper than a slope of -0.5
as would be expected from statistical position averaging. This effect
of sampling density can be completely explained by spatial contrast su
mmation for visibility. At the 16 min line separation, position thresh
old also decreases as sampling density increases but with a slope shal
lower than -0.5. However, this effect of sampling density can not be e
xplained by contrast summation. Position thresholds decrease even afte
r discounting the effect of contrast summation on visibility, suggesti
ng a genuine position averaging. These findings are independent of lin
e orientation (horizontal or vertical), and hold for both random and u
niform dot distributions, and for both bisection and Vernier. Thus, tw
o separate mechanisms of position acuity are suggested. A spatial filt
er mechanism operates at the optimal (or narrow) line separation where
position threshold is critically dependent on stimulus visibility. A
local sign mechanism operates at the relatively wider line separation
where position acuity benefits from focal sign position averaging. For
both mechanisms, spatial integration is not perfect.