In this paper the problem of computing the point correspondences in 3-frames of a sequence of time-varying images of a 3D object undergoing nonrigid (affine) motion is addressed. It is assumed that the images are obtained through weak-perspective projections. The correspondences are established only from the analysis of the unknown affine structure of the object, without, making use of any attributes of the feature points. It is shown that it. is possible to establish the point correspondences uniquely (upto symmetry) in the sense that they yield a unique affine structure of the object and that, the computation is possible in polynomial time. Further, two different, algorithms for computing the point correspondences are presented and theoretical results regarding the correctness of the solutions are provided. Results, on real image data demonstrate that the algorithms are fast and robust.
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