三维冷冻电子显微镜中的表示理论模式I：内在重构算法。
Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I: The intrinsic reconstitution algorithm.
作者信息
Hadani Ronny, Singer Amit
机构信息
The University of Texas at Austin, Austin, TX,
出版信息
Ann Math. 2011 Sep 1;174(2):1219-1241. doi: 10.4007/annals.2011.174.2.11.
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.
摘要
在本文中，我们揭示了辛格（Singer）和什科利尼斯基（Shkolnisky）在[9]中引入的用于从电子显微镜获得的图像确定三维大分子结构的内在重构算法背后的形式代数结构。通过研究这种代数结构，我们对该算法的可容许性（正确性）获得了概念性解释，并证明了其数值稳定性。此外，我们解释了该工作中报告的各种数值观察结果是如何从基本的表示理论原理推导出来的。
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