Skip to main content
Log in

An Incremental Procedure for the Lateral Calibration of a Time-of-Flight Camera by One Image of a Flat Surface

  • Published:
International Journal of Computer Vision Aims and scope Submit manuscript

Abstract

We present a simple and accurate procedure to calibrate the pinhole parameters of a Time-of-Flight camera: the principal point \(c=(u_0, v_0)\), the focal length \(f\) and, if needed, the aspect ratio \(\tau \). Only one image of a flat surface is needed. Using the radial distances as provided by the Time-of-Flight principle, we reconstruct the pixel rows (or pixel columns) as collinear points in 3-space. Motivated by theoretical results, we claim that the correct values for \(u_0\), \(v_0\) and \(f\) can be found by an incremental procedure. In case of unknown aspect ratio, some (but few) iterations are needed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Araujo, H., Mertens, L., Penne, R., Ribbens, B., Raposo, C. (under review). Calibrating a time-of-flight sensor by means of the internal radial distances.

  • Beder, C., & Koch, R. (2008). Calibration of focal length and 3d pose based on the reflectance and depth image of a planar object. International Journal of Intelligent Systems Technologies and Applications, 5(3), 285–294.

    Article  Google Scholar 

  • Gander, W., & Hřebíček, J. (2004). Solving problems in scientific computing using Maple and Matlab. New York: Springer.

    Book  MATH  Google Scholar 

  • Grossberg, M. D., & Nayar, S. K. (2005). The raxel imaging model and ray-based calibration. International Journal of Computer Vision, 2(61), 119–137.

    Article  Google Scholar 

  • Hanning, T., Lasaruk, A., & Tatschke, T. (2011). Calibration and low-level data fusion algorithms for a parallel 2d/3d-camera. Information Fusion, 12, 37–47.

    Article  Google Scholar 

  • Lindner, M., Kolb, A. (2006). Lateral and depth calibration of pmd-distance sensors. In International Symposium on Visual Computing (ISVC) (pp. 524–533). Springer.

  • Lindner, M., Lambers, M., & Kolb, A. (2008). Sub-pixel data fusion and edge-enhanced distance refinement for 2d/3d images. International Journal of Intelligent Systems Technologies and Applications, 5(3), 344–354.

    Article  Google Scholar 

  • Mertens, L., Penne, R., Ribbens, B. (2013). Time of flight cameras (3D Vision). Engineering Tools, Techniques and Tables (pp. 353–417). Nova Science.

  • Penne, R. (2008). A mechanical interpretation of least squares fitting in 3d. Bulletin of the BMS, 15, 127–134.

    MATH  MathSciNet  Google Scholar 

  • Penne, R., Mertens, L., Ribbens, B. (2013). Planar segmentation by time-of-flight cameras. In Advanced Concepts for Intelligent Vision Systems, volume 8192 of Lecture Notes in Computer Science (pp. 286–297).

  • Schiller, I., Beder, C., Koch, R. (2008). Calibration of a pmd-camera using a planar calibration pattern together with a multi-camera setup. In Proceedings of the XXI ISPRS Congress.

  • Späth, H. (1986). Orthogonal least squares fitting with linear manifolds. Numerische Mathematik, 48, 441–445.

    Article  MATH  MathSciNet  Google Scholar 

  • Zhang, Z. (1999). Flexible camera calibration by viewing a plane from unknown orientations. In Proceedings of the Fifth International Conference on Computer Vision (pp. 666–673).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rudi Penne.

Additional information

Communicated by Srinivasa Narasimhan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Penne, R., Ribbens, B. & Mertens, L. An Incremental Procedure for the Lateral Calibration of a Time-of-Flight Camera by One Image of a Flat Surface. Int J Comput Vis 113, 81–91 (2015). https://doi.org/10.1007/s11263-014-0768-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11263-014-0768-7

Keywords

Navigation