Technical Report CIS9521

TR#:CIS9521
Class:CIS
Title: TENSORIAL TRANSFER: ON THE REPRESENTATION OF $N > 3$ VIEWS OF A 3D SCENE.
Authors: S. Avidan and A. Shashua
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Abstract: The recently discovered ``trilinear tensor'' has been shown to play a similar role to the ``fundamental'' matrix, but with three instead of two perspective views, in representing the relative motion parameters of an observer moving in the 3D projective world. The issue of a general representation for any number of views remains an open problem. The main result presented here is captured by two operators on tensors that together enable a closed-form concatenation of any number of views. The concatenation operation shows that $N$ tensors are sufficient for representing $N+2$ views, i.e., the tensor of any triplet of views from the $N+2$ set, can be generated in closed-form from an arbitrary collection of $N$ tensors. These concatenation operators may be useful in the context of image synthesis, image mosaicing and video compression.
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