Reconstruction of 3D-Curves from 2D-Images Using A ne Shape Methods for Curves

In this paper, we propose an algorithm for doing reconstruction of general 3D-curves from a number of 2D-images taken by uncalibrated cameras. No point correspondences between the images are assumed except for the end points. The curve and the view points are uniquely reconstructed, modulo common projective transformations. Furthermore, the algorithm is independent of the choice of coordinates, as it is based on orthogonal projections and aligning subspaces. The ideas behind the algorithm are based on an extension of aane shape of nite point conngurations to more general objects, like for example curves and surfaces.