Computing Structure and Motion of General 3D Curves from Monocular Sequences of Perspective Images
Abstract
This paper discusses the problem of recovering 3D motion and structure for rigid curves. For general 3D rigid curves, there is exactly one constraint for each image point that relates the so-called spatio-temporal derivatives to the instantaneous motion parameters. However, this constraint directly derives from the perspective equations and thus ignores the fact that the viewed object must be entirely in front of the focal plane. This paper provides a description of some constraints insuring the visibility of the curve and examines their geometrical consequences for 3D reconstructions. Ignoring them leads to erroneous solutions with a high probability even when using perfect data. An algorithm which takes advantage of these constraints is proposed. The accuracy of the obtained results is demonstrated on both synthetic and real image sequences .
Cite
Text
Papadopoulo and Faugeras. "Computing Structure and Motion of General 3D Curves from Monocular Sequences of Perspective Images." European Conference on Computer Vision, 1996. doi:10.1007/3-540-61123-1_182Markdown
[Papadopoulo and Faugeras. "Computing Structure and Motion of General 3D Curves from Monocular Sequences of Perspective Images." European Conference on Computer Vision, 1996.](https://mlanthology.org/eccv/1996/papadopoulo1996eccv-computing/) doi:10.1007/3-540-61123-1_182BibTeX
@inproceedings{papadopoulo1996eccv-computing,
title = {{Computing Structure and Motion of General 3D Curves from Monocular Sequences of Perspective Images}},
author = {Papadopoulo, Théodore and Faugeras, Olivier D.},
booktitle = {European Conference on Computer Vision},
year = {1996},
pages = {696-708},
doi = {10.1007/3-540-61123-1_182},
url = {https://mlanthology.org/eccv/1996/papadopoulo1996eccv-computing/}
}