WHEN SHOULD THE NON LINEAR CAMERA CALIBRATION BE CONSIDERED?

Carlos Ricolfe-Viala, Antonio-José Sánchez-Salmerón

2005

Abstract

In 3D modelling reconstruction of points, lines, planes or conics are done in the virtual 3D space. Their situations in the 3D virtual scene are defined by the situation of the recognized features in one or several images. Estimation of a parameter vector which models the object is carried out starting with recognized features in the image. Since positions of recognized features in the image are contaminated with noise the solution for the parameter vector is not exact. In order to obtain “the best” solution, optimization algorithms which reduce a residual error are used. They can be classified into linear and non linear ones.The aim of this paper is to determine the quality of estimated parameters if no linear estimation process is utilized. It is shown that in some cases non linear optimization algorithms diverges and worst parameters are computed using non linear methods. In order to obtain experimental results, camera parameters have been estimated under different conditions.

References

  1. F. Dornaika and C. Garcia, 1997, Robust camera calibration using 2D to 3D feature correspondences, International Symposium SPIE, San Diego.
  2. O. Faugeras, 1993, Three dimensional computer vision, The MIT Press, Massachusetts.
  3. R. Hartley and A. Zisserman, 2000, Multiple View geometry in computer vision, Cambridge, United Kingdom
  4. J. Heikkilä and O. Silven, 1997, A four step camera calibration procedure with implicit image correction, IEEE Computer Society Conference on Computer Vision and Pattern Recognition, San Juan, Puerto Rico.
  5. K. Kanatani, 1995, Statistical optimization for geometric computation, Springer.
  6. W. Press, B. Flannery, S. Teukolsky, W. Vetterling, 1988, Numerical recipes in C, Cambridge, United Kingdom.
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Paper Citation


in Harvard Style

Ricolfe-Viala C. and Sánchez-Salmerón A. (2005). WHEN SHOULD THE NON LINEAR CAMERA CALIBRATION BE CONSIDERED? . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO, ISBN 972-8865-30-9, pages 237-242. DOI: 10.5220/0001189702370242


in Bibtex Style

@conference{icinco05,
author={Carlos Ricolfe-Viala and Antonio-José Sánchez-Salmerón},
title={WHEN SHOULD THE NON LINEAR CAMERA CALIBRATION BE CONSIDERED?},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO,},
year={2005},
pages={237-242},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001189702370242},
isbn={972-8865-30-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO,
TI - WHEN SHOULD THE NON LINEAR CAMERA CALIBRATION BE CONSIDERED?
SN - 972-8865-30-9
AU - Ricolfe-Viala C.
AU - Sánchez-Salmerón A.
PY - 2005
SP - 237
EP - 242
DO - 10.5220/0001189702370242