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Coordinate-Free Carlsson-Weinshall Duality and Relative Multi-View Geometry

Matthew Trager, Martial Hebert, Jean Ponce
CVPR 2019
doi:10.1109/CVPR.2019.00031 /cvpr/2019/trager2019cvpr-coordinatefree/

Abstract

We present a coordinate-free description of Carlsson-Weinshall duality between scene points and camera pinholes and use it to derive a new characterization of primal/dual multi-view geometry. In the case of three views, a particular set of reduced trilinearities provide a novel parameterization of camera geometry that, unlike existing ones, is subject only to very simple internal constraints. These trilinearities lead to new "quasi-linear" algorithms for primal and dual structure from motion. We include some preliminary experiments with real and synthetic data.

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Cite

Text

Trager et al. "Coordinate-Free Carlsson-Weinshall Duality and Relative Multi-View Geometry." Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2019. doi:10.1109/CVPR.2019.00031

Markdown

[Trager et al. "Coordinate-Free Carlsson-Weinshall Duality and Relative Multi-View Geometry." Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2019.](https://mlanthology.org/cvpr/2019/trager2019cvpr-coordinatefree/) doi:10.1109/CVPR.2019.00031

BibTeX

@inproceedings{trager2019cvpr-coordinatefree,
  title     = {{Coordinate-Free Carlsson-Weinshall Duality and Relative Multi-View Geometry}},
  author    = {Trager, Matthew and Hebert, Martial and Ponce, Jean},
  booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2019},
  doi       = {10.1109/CVPR.2019.00031},
  url       = {https://mlanthology.org/cvpr/2019/trager2019cvpr-coordinatefree/}
}