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Inherent Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images

Long Quan 1
1 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : It is shown that there always exists a two-way ambiguity for 2D projective reconstruction from three uncalibrated 1D views independent of the number of point correspondences. It is also shown that the two distinct projective reconstructions are exactly related by a quadratic transformation with the three camera centers as the fundamental points. The unique reconstruction exists only for the case where the three camera centers are aligned. The theoretical results are demonstrated on numerical examples.
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https://hal.inria.fr/inria-00590120
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Long Quan. Inherent Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images. 7th International Conference on Computer Vision (ICCV '99), Sep 1999, Corfu, Greece. pp.344--349, ⟨10.1109/ICCV.1999.791240⟩. ⟨inria-00590120⟩

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