This paper addresses the problem of 3D surface reconstruction using im
age sequences. It has been shown that shape recovery from three or mor
e occluding contours of the surface is possible given a known camera m
otion. Several algorithms, which have been recently proposed, allow su
ch a reconstruction under the assumption of a linear camera motion. A
new approach is presented which deals with the reconstruction problem
directly from a discrete point of view. First, a theoretical study of
the epipolar correspondence between occluding contours is achieved. A
correct depth formulation is then derived from a local approximation o
f the surface up to order two. This allows the local shape to be estim
ated, given three consecutive contours, without any constraints on the
camera motion. Experimental results are presented for both synthetic
and real data.