ML Anthology

A New Characterization of the Trifocal Tensor

Théodore Papadopoulo, Olivier D. Faugeras
ECCV 1998 pp. 109-123
doi:10.1007/BFB0055662 /eccv/1998/papadopoulo1998eccv-new/

Abstract

This paper deals with the problem of characterizing and parametrizing the manifold of trifocal tensors that describe the geometry of three views like the fundamental matrix characterizes the geometry of two. The paper contains two new results. First a new, simpler, set of algebraic constraints that characterizes the set of trifocal tensors is presented. Second, we give a new parametrization of the trifocal tensor based upon those constraints which is also simpler than previously known parametrizations. Some preliminary experimental results of the use of these constraints and parametrization to estimate the trifocal tensor from image correspondences are presented.

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Cite

Text

Papadopoulo and Faugeras. "A New Characterization of the Trifocal Tensor." European Conference on Computer Vision, 1998. doi:10.1007/BFB0055662

Markdown

[Papadopoulo and Faugeras. "A New Characterization of the Trifocal Tensor." European Conference on Computer Vision, 1998.](https://mlanthology.org/eccv/1998/papadopoulo1998eccv-new/) doi:10.1007/BFB0055662

BibTeX

@inproceedings{papadopoulo1998eccv-new,
  title     = {{A New Characterization of the Trifocal Tensor}},
  author    = {Papadopoulo, Théodore and Faugeras, Olivier D.},
  booktitle = {European Conference on Computer Vision},
  year      = {1998},
  pages     = {109-123},
  doi       = {10.1007/BFB0055662},
  url       = {https://mlanthology.org/eccv/1998/papadopoulo1998eccv-new/}
}