Publication at Faculty of Mathematics and Physics |
2021
Abstract
In this research we study discrete inverse problems A x~ b arising in 3D imaging with a specific focus on cryo-electron microscopy single particle analysis. These problems have specific properties such as extremely high dimensionality and poor signal to noise ratio in the collected data.
Their numerical solution is therefore highly challenging and strong regularization needs to be applied. We give a brief overview of the problem formulation and its discretization.
The key parts of the solution of such problems including their implementation will be summarized and illustrated on numerical experiments with realistic data.