Line drawings produced by contours traced on a surface can produce a v
ivid impression of the surface shape. The stability of this perception
is notable considering that the information provided by the surface c
ontours is quite ambiguous. We have studied the stability of line draw
ing perception from psychophysical and computational standpoints. For
a given family of simple line drawings, human observers could perceive
the drawings as depicting either an elliptic (egg-shaped) or hyperbol
ic (saddle-shaped) smooth surface patch. Rotation of the image along t
he line of sight and change in aspect ratio of the line drawing could
bias the observer toward either interpretation. The results were model
ed by a simple Bayesian observer that computes the probability to choo
se either interpretation given the information in the image and prior
preferences. The model's decision rule is noncommitting: for a given i
nput image its responses are still probabilistic, reflecting variabili
ty in the modeled observers' judgements. A good fit to the data was ob
tained when three observer assumptions were introduced: a preference f
or convex surfaces, a preference for surface contours aligned with the
principal lines of curvature, and a preference for a surface orientat
ion consistent with an object viewed from above. We discuss how these
assumptions night reflect regularities of the visual world. (C) 1998 E
lsevier Science Ltd. All rights reserved.