Catadioptric Sensors That Approximate Wide-Angle Perspective Projections
Abstract
We present two families of reflective surfaces that are capable of providing a wide field of view, and yet still approximate a perspective projection to a high degree. These surfaces are derived by considering a plane perpendicular to the axis of a surface of revolution and finding the equations governing the distortion of the image of the plane in this surface. We then view this relation as a differential equation and prescribe the distortion term to be linear. By choosing appropriate initial conditions for the differential equation and solving it numerically, we derive the surface shape and obtain a precise estimate as to what degree the resulting sensor can approximate a perspective projection. Thus these surfaces act as computational sensors, allowing for a wide-angle perspective view of a scene without processing the image in software. The applications of such a sensor should be numerous, including surveillance, robotics and tradition photography.
Cite
Text
Hicks and Bajcsy. "Catadioptric Sensors That Approximate Wide-Angle Perspective Projections." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2000. doi:10.1109/CVPR.2000.855867Markdown
[Hicks and Bajcsy. "Catadioptric Sensors That Approximate Wide-Angle Perspective Projections." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2000.](https://mlanthology.org/cvpr/2000/hicks2000cvpr-catadioptric/) doi:10.1109/CVPR.2000.855867BibTeX
@inproceedings{hicks2000cvpr-catadioptric,
title = {{Catadioptric Sensors That Approximate Wide-Angle Perspective Projections}},
author = {Hicks, R. Andrew and Bajcsy, Ruzena},
booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
year = {2000},
pages = {1545-1551},
doi = {10.1109/CVPR.2000.855867},
url = {https://mlanthology.org/cvpr/2000/hicks2000cvpr-catadioptric/}
}