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

2009/10/16 by Ronny Hadani, Amit Singer, Hadani, Ronny +1 · 2 citations
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #20G05 #Advanced Electron Microscopy Techniques and Applications #Electron and X-Ray Spectroscopy Techniques #FOS: Mathematics #Force Microscopy Techniques and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0910.3009

openalex publication_date 2009/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• The reconstruction of a three-dimensional structure from projections and its application to electron microscopy

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