On Ullman's theorem in computer vision
Computer Vision and Pattern Recognition
2007-08-21 v1 Artificial Intelligence
Abstract
Both in the plane and in space, we invert the nonlinear Ullman transformation for 3 points and 3 orthographic cameras. While Ullman's theorem assures a unique reconstruction modulo a reflection for 3 cameras and 4 points, we find a locally unique reconstruction for 3 cameras and 3 points. Explicit reconstruction formulas allow to decide whether picture data of three cameras seeing three points can be realized as a point-camera configuration.
Cite
@article{arxiv.0708.2438,
title = {On Ullman's theorem in computer vision},
author = {Oliver Knill and Jose Ramirez-Herran},
journal= {arXiv preprint arXiv:0708.2438},
year = {2007}
}
Comments
16 pages, 13 figures