title: Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I: The intrinsic reconstitution algorithm.
abstract: In this paper, we reveal the formal algebraic structure underlying the intrinsic reconstitution algorithm, introduced by Singer and Shkolnisky in [9], for determining three dimensional macromolecular structures from images obtained by an electron microscope. Inspecting this algebraic structure, we obtain a conceptual explanation for the admissibility (correctness) of the algorithm and a proof of its numerical stability. In addition, we explain how the various numerical observations reported in that work follow from basic representation theoretic principles.
authors.affiliation: The University of Texas at Austin, Austin, TX,  hadani@math.utexas.edu.
authors.forename: Ronny
authors.initials: R
authors.lastname: Hadani
authors.forename: Amit
authors.initials: A
authors.lastname: Singer