The reliability of curvature judgments for linear elements was studied, wit
h stereograms that contained a binocular are with curvature in depth, and e
ither a binocular frontoparallel are or a monocular one, on a background re
presenting a hemiellipsoid. The subjects made about 15% errors on binocular
arcs with curvature in depth, and 60% - 80% of these occurred when both th
e hemiellipsoid and the are were convex, the are being perceived as concave
, by transparency through the hemiellipsoid. There were also about 15% - 30
% errors on frontoparallel arcs, but spread among all situations, with a sm
all prevalence of concave judgments. Curvature in depth was assigned to the
monocular stimuli in more than 60% of the cases. There was a curvature bia
s when the monocular arcs were on the nasal side, and were viewed against a
concave background. Assuming parallel viewing, nasal ingoing area were usu
ally perceived as concave, and nasal outgoing arcs usually perceived as con
vex, in agreement with geometrical likelihood. Nasal-side elements captured
by one eye are, in general, those with the highest likelihood of having ma
tching elements in the other eye. Then the observed nasal bias effect sugge
sts that the matching process in stereopsis could be driven from the nasal
sides of the projections in the two cerebral hemispheres.