Omnidirectional Vision: Unified Model Using Conformal Geometry
Abstract
It has been proven that a catadioptric projection can be modeled by an equivalent spherical projection. In this paper we present an extension and improvement of those ideas using the conformal geometric algebra, a modern framework for the projective space of hyper-spheres. Using this mathematical system, the analysis of diverse catadioptric mirrors becomes transparent and computationally simpler. As a result, the algebraic burden is reduced, allowing the user to work in a much more effective framework for the development of algorithms for omnidirectional vision. This paper includes complementary experimental analysis related to omnidirectional vision guided robot navigation.
Cite
Text
Bayro-Corrochano and López-Franco. "Omnidirectional Vision: Unified Model Using Conformal Geometry." European Conference on Computer Vision, 2004. doi:10.1007/978-3-540-24670-1_41Markdown
[Bayro-Corrochano and López-Franco. "Omnidirectional Vision: Unified Model Using Conformal Geometry." European Conference on Computer Vision, 2004.](https://mlanthology.org/eccv/2004/bayrocorrochano2004eccv-omnidirectional/) doi:10.1007/978-3-540-24670-1_41BibTeX
@inproceedings{bayrocorrochano2004eccv-omnidirectional,
title = {{Omnidirectional Vision: Unified Model Using Conformal Geometry}},
author = {Bayro-Corrochano, Eduardo and López-Franco, Carlos},
booktitle = {European Conference on Computer Vision},
year = {2004},
pages = {536-548},
doi = {10.1007/978-3-540-24670-1_41},
url = {https://mlanthology.org/eccv/2004/bayrocorrochano2004eccv-omnidirectional/}
}