In this paper, we describe and study a mathematical framework for cryo-elecron microscopy. The main result, is a a proof of the admissability (correctness) and the numerical stability of the intrinsic reconstitution algorithm which was introduced by Singer and Shkolnisky in [7]. In addition, we explain how the various numerical observations reported in that work, follow from basic representation theoretic principles.
Cite
@article{arxiv.0910.3009,
title = {Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I - The intrinsic reconstitution algorithm},
author = {Ronny Hadani and Amit Singer},
journal= {arXiv preprint arXiv:0910.3009},
year = {2009}
}