Pixel Club: Describing Geometry and Symmetry of CRYO-EM datasets using Algebra

Speaker:
David Dynerman (University of Wisconsin-Madison)
Date:
Tuesday, 30.12.2014, 11:30
Place:
Room 337-8 Taub Bld.

Cryo-electron microscopy (cryo-EM) is a microscopy technique used to discover the 3D structure of molecules from very noisy images. We discuss how algebra can describe two aspects of cryo-EM datasets.

First, we'll describe common lines datasets. Common lines are lines of intersection between cryo-EM images in 3D. They are a crucial ingredient in some 2D->3D reconstruction algorithms, and they can be characterized by polynomial equalities and inequalities.

Second, we'll discuss how 3D symmetries of a molecule can be detected from only 2D cryo-EM images, without performing full 3D reconstruction.

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