TY - JOUR
T1 - Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I
T2 - The intrinsic reconstitution algorithm
AU - Hadani, Ronny
AU - Singer, Amit
PY - 2011/9
Y1 - 2011/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=80051779555&partnerID=8YFLogxK
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U2 - 10.4007/annals.2011.174.2.11
DO - 10.4007/annals.2011.174.2.11
M3 - Article
C2 - 23180881
AN - SCOPUS:80051779555
SN - 0003-486X
VL - 174
SP - 1219
EP - 1241
JO - Annals of Mathematics
JF - Annals of Mathematics
IS - 2
ER -