ML Anthology

Are Two Rotational Flows Sufficient to Calibrate a Smooth Non-Parametric Sensor?

Etienne Grossmann, Eun-Joo Lee, Peter Hislop, David Nistér, Henrik Stewénius
CVPR 2006 pp. 1222-1229
doi:10.1109/CVPR.2006.60 /cvpr/2006/grossmann2006cvpr-two/

Abstract

We present an attempt to determine whether the shape of a generic central-projection camera, such as the eye of an insect or a log-polar camera, can be determined from two motion flows resulting from purely rotational motions with non-collinear axes. Our first contribution is to write the smooth non-parametric calibration problem as a differential equation. It is unclear at present whether this problem has unique solution, up to an orthogonal transformation. Our second contribution is a discretized version of this smooth problem, for which we give a calibration algorithm - a third contribution. Using this algorithm, we explore numerically the properties of the discrete self-calibration problem, giving some insight on the nature of the problem. We show examples of successful self-calibration, but cannot give a definite affirmative answer to the question in the title.

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Cite

Text

Grossmann et al. "Are Two Rotational Flows Sufficient to Calibrate a Smooth Non-Parametric Sensor?." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2006. doi:10.1109/CVPR.2006.60

Markdown

[Grossmann et al. "Are Two Rotational Flows Sufficient to Calibrate a Smooth Non-Parametric Sensor?." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2006.](https://mlanthology.org/cvpr/2006/grossmann2006cvpr-two/) doi:10.1109/CVPR.2006.60

BibTeX

@inproceedings{grossmann2006cvpr-two,
  title     = {{Are Two Rotational Flows Sufficient to Calibrate a Smooth Non-Parametric Sensor?}},
  author    = {Grossmann, Etienne and Lee, Eun-Joo and Hislop, Peter and Nistér, David and Stewénius, Henrik},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2006},
  pages     = {1222-1229},
  doi       = {10.1109/CVPR.2006.60},
  url       = {https://mlanthology.org/cvpr/2006/grossmann2006cvpr-two/}
}