Optimum Fiducials Under Weak Perspective Projection

Abstract

We investigate how a given fixed number of points should be located in space so that the pose of a camera viewing them from unknown locations can be estimated with the greatest accuracy. We show that optimum solutions are obtained when the points form concentric complete regular polyhedra. For the case of optimal configurations, we provide a worst-case error analysis and use it to analyze the effects of weak perspective approximation to true perspective viewing. Comprehensive computer simulations validate the theoretical results.

Cite

Text

Bruckstein et al. "Optimum Fiducials Under Weak Perspective Projection." IEEE/CVF International Conference on Computer Vision, 1999. doi:10.1109/ICCV.1999.791199

Markdown

[Bruckstein et al. "Optimum Fiducials Under Weak Perspective Projection." IEEE/CVF International Conference on Computer Vision, 1999.](https://mlanthology.org/iccv/1999/bruckstein1999iccv-optimum/) doi:10.1109/ICCV.1999.791199

BibTeX

@inproceedings{bruckstein1999iccv-optimum,
  title     = {{Optimum Fiducials Under Weak Perspective Projection}},
  author    = {Bruckstein, Alfred M. and Holt, Robert J. and Huang, Thomas S. and Netravali, Arun N.},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {1999},
  pages     = {67-72},
  doi       = {10.1109/ICCV.1999.791199},
  url       = {https://mlanthology.org/iccv/1999/bruckstein1999iccv-optimum/}
}