This paper presents a novel curve based algorithm of stereo vision to recon
struct 3D line-like objects. B-spline approximations of 2D edge curves are
selected as primitives for the reconstruction of their corresponding space
curves so that, under the assumption of affine camera model, a 3D curve can
be derived from reconstructing its control points according to the affine
invariant property of B-Spline curves. The superiority of B-spline model in
representing free-form curves gives good geometric properties of reconstru
ction results. Both theoretical analysis and experimental results demonstra
te the validity of our approach.