A hierarchical interval subdivision is shown to lead to a p-adic encoding of image data. This allows in the case of the relative pose problem in computer vision and photogrammetry to derive equations having 2-adic numbers as coefficients, and to use Hensel's lifting method to their solution. This method is applied to the linear and non-linear equations coming from eight, seven or five point correspondences. An inherent property of the method is its robustness.
Cite
@article{arxiv.0908.1919,
title = {A dyadic solution of relative pose problems},
author = {Patrick Erik Bradley},
journal= {arXiv preprint arXiv:0908.1919},
year = {2009}
}
Comments
7 pages; references added; typos and Thm 2 corrected (not affecting the other results)