A Critical Configuration for Reconstruction from Rectilinear Motion
Abstract
This paper investigates critical configurations for projective reconstruction from multiple images taken by a camera moving in a straight line. Projective reconstruction refers to a determination of the 3D (three-dimensional) geometrical configuration of a set of 3D points and cameras, given only correspondences between points in the images. A configuration of points and cameras is critical if it cannot be determined uniquely (up to a projective transform) from the image coordinates of the points. It is shown that a configuration consisting of any number of cameras lying on a straight line, and any number of points lying on a twisted cubic constitutes a critical configuration. An alternative configuration consisting of a set of points and cameras all lying on a rational quartic curve exists.
Cite
Text
Hartley and Kahl. "A Critical Configuration for Reconstruction from Rectilinear Motion." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2003. doi:10.1109/CVPR.2003.1211397Markdown
[Hartley and Kahl. "A Critical Configuration for Reconstruction from Rectilinear Motion." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2003.](https://mlanthology.org/cvpr/2003/hartley2003cvpr-critical/) doi:10.1109/CVPR.2003.1211397BibTeX
@inproceedings{hartley2003cvpr-critical,
title = {{A Critical Configuration for Reconstruction from Rectilinear Motion}},
author = {Hartley, Richard I. and Kahl, Fredrik},
booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
year = {2003},
pages = {511-517},
doi = {10.1109/CVPR.2003.1211397},
url = {https://mlanthology.org/cvpr/2003/hartley2003cvpr-critical/}
}