Geodesic
Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I: The intrinsic reconstitution algorithm
Ronny Hadani1 ; Amit Singer2
1 Department of Mathematics<br/>The University of Texas at Austin<br/>Austin, TX 78712
2 Department of Mathematics and PACM<br/> Princeton University<br/> Princeton, NJ 08544
Annals of mathematics, Tome 174 (2011) no. 2, pp. 1219-1241

Voir la notice de l'article provenant de la source Annals of Mathematics website

In this paper, we reveal the formal algebraic structure underlying the intrinsic reconstitution algorithm, introduced by Singer and Shkolnisky in [S], 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.

DOI : 10.4007/annals.2011.174.2.11

Ronny Hadani 1 ; Amit Singer 2

1 Department of Mathematics<br/>The University of Texas at Austin<br/>Austin, TX 78712
2 Department of Mathematics and PACM<br/> Princeton University<br/> Princeton, NJ 08544 
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Ronny Hadani; Amit Singer. Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I:  The intrinsic reconstitution algorithm. Annals of mathematics, Tome 174 (2011) no. 2, pp. 1219-1241. doi: 10.4007/annals.2011.174.2.11

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