Rigorous Bounds for Two-Frame Structure from Motion
Abstract
We analyze the problem of recovering rotation from two image frames, deriving an exact bound on the error size. With the single weak requirement that the average translational image displacements are smaller than the field of view, we demonstrate rigorously and validate experimentally that the error is small. These results form part of our correctness proof for a recently developed algorithm for recovering structure and motion from a multiple image sequence. In addition, we argue and demonstrate experimentally that in the complementary domain when the translation is large the whole motion can typically be recovered robustly, assuming the 3D points vary significantly in their depths.
Cite
Text
Oliensis. "Rigorous Bounds for Two-Frame Structure from Motion." European Conference on Computer Vision, 1996. doi:10.1007/3-540-61123-1_138Markdown
[Oliensis. "Rigorous Bounds for Two-Frame Structure from Motion." European Conference on Computer Vision, 1996.](https://mlanthology.org/eccv/1996/oliensis1996eccv-rigorous/) doi:10.1007/3-540-61123-1_138BibTeX
@inproceedings{oliensis1996eccv-rigorous,
title = {{Rigorous Bounds for Two-Frame Structure from Motion}},
author = {Oliensis, John},
booktitle = {European Conference on Computer Vision},
year = {1996},
pages = {184-195},
doi = {10.1007/3-540-61123-1_138},
url = {https://mlanthology.org/eccv/1996/oliensis1996eccv-rigorous/}
}