We used quadratic shapes in several psychophysical shape-from-stereo t
asks. The shapes were elegantly represented in a 2-D parameter space b
y the scale-independent shape index and the scale-dependent curvedness
. Using random-dot stereograms to depict the surfaces, we found that t
he shape of hyperbolic surfaces is slightly more difficult to recogniz
e than the shape of elliptic surfaces. We found that curvedness (and i
ndirectly, scale) has little or no influence on shape recognition.