Extracting Projective Structure from Single Perspective Views of 3D Point Sets
Abstract
A number of recent papers have argued that invariants do not exist for three-dimensional point sets in general position, which has often been misinterpreted to mean that invariants cannot be computed for any three-dimensional structure. It is proved by example that although the general statement is true, invariants do exist for structured three-dimensional point sets. Projective invariants are derived for two object classes: the first is for points that lie on the vertices of polyhedra, and the second for objects that are projectively equivalent to ones possessing a bilateral symmetry. The motivations for computing such invariants are twofold: they can be used for recognition, and they can be used to compute projective structure. Examples of invariants computed from real images are given.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
Cite
Text
Rothwell et al. "Extracting Projective Structure from Single Perspective Views of 3D Point Sets." IEEE/CVF International Conference on Computer Vision, 1993. doi:10.1109/ICCV.1993.378159Markdown
[Rothwell et al. "Extracting Projective Structure from Single Perspective Views of 3D Point Sets." IEEE/CVF International Conference on Computer Vision, 1993.](https://mlanthology.org/iccv/1993/rothwell1993iccv-extracting/) doi:10.1109/ICCV.1993.378159BibTeX
@inproceedings{rothwell1993iccv-extracting,
title = {{Extracting Projective Structure from Single Perspective Views of 3D Point Sets}},
author = {Rothwell, Charlie and Forsyth, David A. and Zisserman, Andrew and Mundy, Joseph L.},
booktitle = {IEEE/CVF International Conference on Computer Vision},
year = {1993},
pages = {573-582},
doi = {10.1109/ICCV.1993.378159},
url = {https://mlanthology.org/iccv/1993/rothwell1993iccv-extracting/}
}