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Camera Calibration and 3D Reconstruction Using Interval Analysis

Benoit Telle 1 Marie-José Aldon 1 Nacim Ramdani 2 
2 IDH - Interactive Digital Humans
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : The paper deals with the problem of error estimation in 3D reconstruction. It shows how interval analysis can be used in this way for 3D vision applications. The description of an image point by an interval assumes an unknown but bounded localization. We present a new method based on interval analysis tools to propagate this bounded uncertainty. This way of computation can produce guaranteed results since a datum is not the most probabilistic value but an interval which contains the true value. We validate our method by computing a guaranteed model for a projective camera, and we achieve a guaranteed 3D reconstruction.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00269675
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Submitted on : Thursday, September 8, 2022 - 6:51:33 PM
Last modification on : Saturday, September 10, 2022 - 3:23:32 AM

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Benoit Telle, Marie-José Aldon, Nacim Ramdani. Camera Calibration and 3D Reconstruction Using Interval Analysis. ICIAP 2003 - 12th International Conference on Image Analysis and Processing, Sep 2003, Mantoue, Italy. pp.374-379, ⟨10.1109/ICIAP.2003.1234078⟩. ⟨lirmm-00269675⟩

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