Ambiguity in Reconstruction from Images of Six Points
Abstract
Let S be a set of six points in space, let /spl psi/ be any hyperboloid of one sheet containing S, and let I be a sequence of images of S taken by an uncalibrated camera moving over /spl psi/. Then reconstruction from I is subject to a three way ambiguity which is unbroken as long as the optical centre of the camera remains on /spl psi/. Let p be an image of S taken from a point on /spl psi/. The images 'near' p define a tangent space which splits into a direct sum W/sub p//spl oplus/N/sub p//spl oplus/F/sub p/, where W/sub p/ corresponds to images near p for which the ambiguity is maintained, N/sub p/ corresponds to images for which the ambiguity is broken and F/sub p/ corresponds to images which are physically impossible.
Cite
Text
Maybank and Shashua. "Ambiguity in Reconstruction from Images of Six Points." IEEE/CVF International Conference on Computer Vision, 1998. doi:10.1109/ICCV.1998.710794Markdown
[Maybank and Shashua. "Ambiguity in Reconstruction from Images of Six Points." IEEE/CVF International Conference on Computer Vision, 1998.](https://mlanthology.org/iccv/1998/maybank1998iccv-ambiguity/) doi:10.1109/ICCV.1998.710794BibTeX
@inproceedings{maybank1998iccv-ambiguity,
title = {{Ambiguity in Reconstruction from Images of Six Points}},
author = {Maybank, Stephen J. and Shashua, Amnon},
booktitle = {IEEE/CVF International Conference on Computer Vision},
year = {1998},
pages = {703-708},
doi = {10.1109/ICCV.1998.710794},
url = {https://mlanthology.org/iccv/1998/maybank1998iccv-ambiguity/}
}