On the equivalence of moving entrance pupil and radial distortion for camera calibration

Avinash Kumar, Narendra Ahuja

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Radial distortion for ordinary (non-fisheye) camera lenses has traditionally been modeled as an infinite series function of radial location of an image pixel from the image center. While there has been enough empirical evidence to show that such a model is accurate and sufficient for radial distortion calibration, there has not been much analysis on the geometric/physical understanding of radial distortion from a camera calibration perspective. In this paper, we show using a thick-lens imaging model, that the variation of entrance pupil location as a function of incident image ray angle is directly responsible for radial distortion in captured images. Thus, unlike as proposed in the current state-of-the-art in camera calibration, radial distortion and entrance pupil movement are equivalent and need not be modeled together. By modeling only entrance pupil motion instead of radial distortion, we achieve two main benefits, first, we obtain comparable if not better pixel re-projection error than traditional methods, second, and more importantly, we directly back-project a radially distorted image pixel along the true image ray which formed it. Using a thick-lens setting, we show that such a back-projection is more accurate than the two-step method of undistorting an image pixel and then back-projecting it. We have applied this calibration method to the problem of generative depth-from-focus using focal stack to get accurate depth estimates.

Original languageEnglish (US)
Title of host publication2015 International Conference on Computer Vision, ICCV 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2345-2353
Number of pages9
ISBN (Electronic)9781467383912
DOIs
StatePublished - Feb 17 2015
Event15th IEEE International Conference on Computer Vision, ICCV 2015 - Santiago, Chile
Duration: Dec 11 2015Dec 18 2015

Publication series

NameProceedings of the IEEE International Conference on Computer Vision
Volume2015 International Conference on Computer Vision, ICCV 2015
ISSN (Print)1550-5499

Other

Other15th IEEE International Conference on Computer Vision, ICCV 2015
CountryChile
CitySantiago
Period12/11/1512/18/15

Fingerprint

Cameras
Calibration
Pixels
Lenses
Camera lenses
Imaging techniques

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition

Cite this

Kumar, A., & Ahuja, N. (2015). On the equivalence of moving entrance pupil and radial distortion for camera calibration. In 2015 International Conference on Computer Vision, ICCV 2015 (pp. 2345-2353). [7410627] (Proceedings of the IEEE International Conference on Computer Vision; Vol. 2015 International Conference on Computer Vision, ICCV 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCV.2015.270

On the equivalence of moving entrance pupil and radial distortion for camera calibration. / Kumar, Avinash; Ahuja, Narendra.

2015 International Conference on Computer Vision, ICCV 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 2345-2353 7410627 (Proceedings of the IEEE International Conference on Computer Vision; Vol. 2015 International Conference on Computer Vision, ICCV 2015).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kumar, A & Ahuja, N 2015, On the equivalence of moving entrance pupil and radial distortion for camera calibration. in 2015 International Conference on Computer Vision, ICCV 2015., 7410627, Proceedings of the IEEE International Conference on Computer Vision, vol. 2015 International Conference on Computer Vision, ICCV 2015, Institute of Electrical and Electronics Engineers Inc., pp. 2345-2353, 15th IEEE International Conference on Computer Vision, ICCV 2015, Santiago, Chile, 12/11/15. https://doi.org/10.1109/ICCV.2015.270
Kumar A, Ahuja N. On the equivalence of moving entrance pupil and radial distortion for camera calibration. In 2015 International Conference on Computer Vision, ICCV 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 2345-2353. 7410627. (Proceedings of the IEEE International Conference on Computer Vision). https://doi.org/10.1109/ICCV.2015.270
Kumar, Avinash ; Ahuja, Narendra. / On the equivalence of moving entrance pupil and radial distortion for camera calibration. 2015 International Conference on Computer Vision, ICCV 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 2345-2353 (Proceedings of the IEEE International Conference on Computer Vision).
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