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Authors: Michał Tomaszewski and Władysław Skarbek

Affiliation: Institute of Radioelectronics, Warsaw University of Technology, Poland

Keyword(s): Projection matrix, homographic matrix, camera calibration, intrinsic parameters, Housholder symmetry.

Abstract: The projection matrix identification problem is considered with application to calibration of intrinsic camera parameters. Physical and orthogonal intrinsic camera models in context of 2D and 3D data are discussed. A novel nonlinear goal function is proposed for homographic calibration method having the fast convergence of Levenberg-Marquardt optimization procedure. Three models (linear, quadratic, and rational) and four optimization procedures for their identification were compared wrt their time complexity, the projection accuracy, and the intrinsic parameters accuracy. The analysis has been performed for both, the raw and the calibrated pixel data, too. The recommended technique with the best performance in all used quality measures is the Housholder QR decomposition for the linear least square method of the linear form of projection equations.

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Paper citation in several formats:
Tomaszewski, M. and Skarbek, W. (2007). ON PROJECTION MATRIX IDENTIFICATION FOR CAMERA CALIBRATION. In Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - 3D Model Aquisition and Representation; ISBN 978-972-8865-75-7; ISSN 2184-4321, SciTePress, pages 92-97. DOI: 10.5220/0002068000920097

@conference{3d model aquisition and representation07,
author={Michał Tomaszewski. and Władysław Skarbek.},
title={ON PROJECTION MATRIX IDENTIFICATION FOR CAMERA CALIBRATION},
booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - 3D Model Aquisition and Representation},
year={2007},
pages={92-97},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002068000920097},
isbn={978-972-8865-75-7},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - 3D Model Aquisition and Representation
TI - ON PROJECTION MATRIX IDENTIFICATION FOR CAMERA CALIBRATION
SN - 978-972-8865-75-7
IS - 2184-4321
AU - Tomaszewski, M.
AU - Skarbek, W.
PY - 2007
SP - 92
EP - 97
DO - 10.5220/0002068000920097
PB - SciTePress

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