Relative 3D Positioning and 3D Convex Hull Computation from a Weakly Calibrated Stereo Pair

Abstract

The authors show some very recent results using the weak-calibration idea. Assuming that only the epipolar geometry is known of a pair of stereo images, encoded in the so-called fundamental matrix, it is shown that some useful three-dimensional information such as relative positions of points and planes and 3-D convex hulls can be computed. The notion of visibility is introduced, which allows deriving those properties. Results of both synthetic and real data are shown.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Cite

Text

Robert and Faugeras. "Relative 3D Positioning and 3D Convex Hull Computation from a Weakly Calibrated Stereo Pair." IEEE/CVF International Conference on Computer Vision, 1993. doi:10.1109/ICCV.1993.378165

Markdown

[Robert and Faugeras. "Relative 3D Positioning and 3D Convex Hull Computation from a Weakly Calibrated Stereo Pair." IEEE/CVF International Conference on Computer Vision, 1993.](https://mlanthology.org/iccv/1993/robert1993iccv-relative/) doi:10.1109/ICCV.1993.378165

BibTeX

@inproceedings{robert1993iccv-relative,
  title     = {{Relative 3D Positioning and 3D Convex Hull Computation from a Weakly Calibrated Stereo Pair}},
  author    = {Robert, Luc and Faugeras, Olivier D.},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {1993},
  pages     = {540-544},
  doi       = {10.1109/ICCV.1993.378165},
  url       = {https://mlanthology.org/iccv/1993/robert1993iccv-relative/}
}