Abstract

In this paper a general method is given for reconstruction of a set of feature points in an arbitrary dimensional pro jective space from their pro jections into lower dimensional spaces. The method extends the of scene points in P 3 given their pro jections in a set of images. In this methods applied in the well-studied problem of reconstruction of a set case, the bifocal, trifocal and quadrifocal tensors are used to carry out this computation. It is shown that similar methods will apply in a much more general context, and hence may be applied to pro jections from P n to P m , which have been used in the analysis of dynamic scenes. For sufficiently many generic pro jections, reconstruction of the scene is shown to be unique up to pro jectivity, except in the case of pro jections onto one-dimensional image spaces (lines).