Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IEEE Transactions on Pattern Analysis and Machine Intelligence Year : 2001

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

Abstract

We show that there is in genral a two-way ambiguity for 2D projective reconstruction from three uncalilbrated 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.
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Dates and versions

inria-00590145 , version 1 (03-05-2011)

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Long Quan. Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2001, 23 (2), pp.212--216. ⟨10.1109/34.908971⟩. ⟨inria-00590145⟩
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