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Two-way ambiguity in 2D projective reconstruction from three uncalibrated 1D images

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1 Author(s)
Long Quan ; CNRS-INRIA, Montbonnot, France

We show that there is, in general, a two-way ambiguity for 2D projective reconstruction from three uncalibrated 1D views, independent of the number of point correspondences. The two distinct projective reconstructions are exactly related by a quadratic transformation with the three camera centers as fundamental points. Unique 2D reconstruction is possible only when the three camera centers are aligned. By Carlsson duality (1995), there is a dual two-way ambiguity for 2D projective reconstruction from six point correspondences, independent of the number of 1D views. The theoretical results are demonstrated on numerical examples

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:23 ,  Issue: 2 )