# ON PROJECTION MATRIX IDENTIFICATION FOR CAMERA CALIBRATION

### Michał Tomaszewski, Władysław Skarbek

#### 2007

#### 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.

#### References

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#### Paper Citation

#### in Harvard Style

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 - Volume 3: 3D Model Aquisition and Representation, (VISAPP 2007)* ISBN 978-972-8865-75-7, pages 92-97. DOI: 10.5220/0002068000920097

#### in Bibtex Style

@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 - Volume 3: 3D Model Aquisition and Representation, (VISAPP 2007)},

year={2007},

pages={92-97},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002068000920097},

isbn={978-972-8865-75-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 3: 3D Model Aquisition and Representation, (VISAPP 2007)

TI - ON PROJECTION MATRIX IDENTIFICATION FOR CAMERA CALIBRATION

SN - 978-972-8865-75-7

AU - Tomaszewski M.

AU - Skarbek W.

PY - 2007

SP - 92

EP - 97

DO - 10.5220/0002068000920097