From Projective to Euclidean Reconstruction

Frédéric Devernay 1 Olivier Faugeras
1 ROBOTVIS - Computer Vision and Robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : To make a Euclidean reconstruction of the world seen through a stereo rig, we can either use a calibration grid, and the results will rely on the precision of the grid and the extracted points of interest, or use self-calibration. Past work on self-calibration is focussed on the use of only one camera, and gives sometimes very unstable results. In this paper, we use a stereo rig which is supposed to be weakly calibrated using a method such as the one described in~\cite{deriche-zhang-etal:94}. Then, by matching two sets of points of the same scene reconstructed from different points of view, we try to find both the homography that maps the projective reconstruction~\cite{faugeras:92} to the Euclidean space and the displacement from the first set of points to the second set of points. We present results of the Euclidean reconstruction of a whole object from uncalibrated cameras using the method proposed here.
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Rapport
RR-2725, INRIA. 1995
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https://hal.inria.fr/inria-00073969
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Frédéric Devernay, Olivier Faugeras. From Projective to Euclidean Reconstruction. RR-2725, INRIA. 1995. <inria-00073969>

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