Motion Field of Curves: Applications
Abstract
This paper discusses the well known problem of structure from motion for the special case of rigid curves. It is already known that it is theoretically possible to recover the motion and thus the structure of a moving 3D rigid curve observed through one camera given some set of derivatives that are defined on the so-called spatio-temporal surface under the most general camera model of perspective projection. We give here a new simplification of the previous results. In order to show that implementing this theory is indeed feasible, we proceeded towards two main directions. First, we have implemented the special case of planar rigid curves. Second, we show that the derivatives defined on the spatiotemporal surface which are needed in the general case can indeed be computed from the images.
Cite
Text
Papadopoulo and Faugeras. "Motion Field of Curves: Applications." European Conference on Computer Vision, 1994. doi:10.1007/3-540-57956-7_7Markdown
[Papadopoulo and Faugeras. "Motion Field of Curves: Applications." European Conference on Computer Vision, 1994.](https://mlanthology.org/eccv/1994/papadopoulo1994eccv-motion/) doi:10.1007/3-540-57956-7_7BibTeX
@inproceedings{papadopoulo1994eccv-motion,
title = {{Motion Field of Curves: Applications}},
author = {Papadopoulo, Théodore and Faugeras, Olivier D.},
booktitle = {European Conference on Computer Vision},
year = {1994},
pages = {71-82},
doi = {10.1007/3-540-57956-7_7},
url = {https://mlanthology.org/eccv/1994/papadopoulo1994eccv-motion/}
}