A Metric Parametrization for Trifocal Tensors with Non-Colinear Pinholes

Spyridon Leonardos, Roberto Tron, Kostas Daniilidis

CVPR 2015

doi:10.1109/CVPR.2015.7298622 /cvpr/2015/leonardos2015cvpr-metric/

Abstract

The trifocal tensor, which describes the relation between projections of points and lines in three views, is a fundamental entity of geometric computer vision. In this work, we investigate a new parametrization of the trifocal tensor for calibrated cameras with non-colinear pinholes obtained from a quotient Riemannian manifold. We incorporate this formulation into state-of-the art methods for optimization on manifolds, and show, through experiments in pose averaging, that it produces a meaningful way to measure distances between trifocal tensors.

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Text

Leonardos et al. "A Metric Parametrization for Trifocal Tensors with Non-Colinear Pinholes." Conference on Computer Vision and Pattern Recognition, 2015. doi:10.1109/CVPR.2015.7298622

Markdown

[Leonardos et al. "A Metric Parametrization for Trifocal Tensors with Non-Colinear Pinholes." Conference on Computer Vision and Pattern Recognition, 2015.](https://mlanthology.org/cvpr/2015/leonardos2015cvpr-metric/) doi:10.1109/CVPR.2015.7298622

BibTeX

@inproceedings{leonardos2015cvpr-metric,
  title     = {{A Metric Parametrization for Trifocal Tensors with Non-Colinear Pinholes}},
  author    = {Leonardos, Spyridon and Tron, Roberto and Daniilidis, Kostas},
  booktitle = {Conference on Computer Vision and Pattern Recognition},
  year      = {2015},
  doi       = {10.1109/CVPR.2015.7298622},
  url       = {https://mlanthology.org/cvpr/2015/leonardos2015cvpr-metric/}
}