Epipolar Fields on Surfaces
Abstract
The view lines associated with a family of profile curves of the projection of a surface onto the retina of a moving camera defines a multi-valued vector field on the surface. The integral curves of this field are called epipolar curves and together with a parametrization of the profiles provide a parametrization of regions of the surface. This parametrization has been used in the systematic reconstruction of surfaces from their profiles. We present a complete local investigation of the epipolar curves, including their behaviour in a neighbourhood of a point where the epipolar parametrization breaks down. These results give a systematic way of detecting the gaps left by reconstruction of a surface from profiles. They also suggest methods for filling in these gaps.
Cite
Text
Giblin and Weiss. "Epipolar Fields on Surfaces." European Conference on Computer Vision, 1994. doi:10.1007/3-540-57956-7_2Markdown
[Giblin and Weiss. "Epipolar Fields on Surfaces." European Conference on Computer Vision, 1994.](https://mlanthology.org/eccv/1994/giblin1994eccv-epipolar/) doi:10.1007/3-540-57956-7_2BibTeX
@inproceedings{giblin1994eccv-epipolar,
title = {{Epipolar Fields on Surfaces}},
author = {Giblin, Peter J. and Weiss, Richard S.},
booktitle = {European Conference on Computer Vision},
year = {1994},
pages = {14-23},
doi = {10.1007/3-540-57956-7_2},
url = {https://mlanthology.org/eccv/1994/giblin1994eccv-epipolar/}
}