Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I: The intrinsic reconstitution algorithm

Ronny Hadani, Amit Singer

Research output: Contribution to journalArticle

20 Scopus citations

Abstract

In this paper, we reveal the formal algebraic structure underlying the in-trinsic 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.

Original languageEnglish (US)
Pages (from-to)1219-1241
Number of pages23
JournalAnnals of Mathematics
Volume174
Issue number2
DOIs
StatePublished - Sep 2011

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Fingerprint Dive into the research topics of 'Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I: The intrinsic reconstitution algorithm'. Together they form a unique fingerprint.

  • Cite this