Issue No. 02 - February (2001 vol. 23)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/34.908971
<p><b>Abstract</b>—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, 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.</p>
1D camera, vision geometry, ambiguity, reconstruction.
Long Quan, "Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 23, no. , pp. 212-216, February 2001, doi:10.1109/34.908971