Publication at Faculty of Mathematics and Physics |
2023
Abstract
Cryo-electron microscopy Single Particle Analysis aims at the reconstruction of 3D structure of macromolecules from a set of its 2D projections created by a transmission electron microscope. Structural information is vital to understanding biological life processes and can be used, for example, in drug discovery. Mathematical problems arising in the reconstruction process are challenging due to large dimensionality of the measured data, suffering from the presence of extreme amounts of noise and missing information.
Here, we focus on an inverse problem of volume reconstruction from a given set of measured particle projections with estimated viewing angles.