Recovering Planar Surfaces by Stereovision Based on Projective Geometry

Abstract

The planar surfaces (3-D faces) of the objects of a polyhedral scene are built using a trinocular stereovision system. Before the reconstruction step and after the step of matching, a search is conducted among the set of triplets of matched 2-D faces (supposed to be the projection of 3-D faces) for the triplets which really correspond to planar 3-D surfaces. To accurately reconstruct the surface, a check is conducted in 2-D space for the classes of triplets of faces which correspond to 3-D coplanar structures. It is shown how these 3-D properties are checked in the 2-D space, using tools of projective geometry, allowing the constraint of the 3-D reconstruction in order to maintain these 3-D properties.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Cite

Text

Chabbi and Berger. "Recovering Planar Surfaces by Stereovision Based on Projective Geometry." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1993. doi:10.1109/CVPR.1993.341045

Markdown

[Chabbi and Berger. "Recovering Planar Surfaces by Stereovision Based on Projective Geometry." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1993.](https://mlanthology.org/cvpr/1993/chabbi1993cvpr-recovering/) doi:10.1109/CVPR.1993.341045

BibTeX

@inproceedings{chabbi1993cvpr-recovering,
  title     = {{Recovering Planar Surfaces by Stereovision Based on Projective Geometry}},
  author    = {Chabbi, Houda and Berger, Marie-Odile},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1993},
  pages     = {649-650},
  doi       = {10.1109/CVPR.1993.341045},
  url       = {https://mlanthology.org/cvpr/1993/chabbi1993cvpr-recovering/}
}