A Fast Iterative Shrinkage Thresholding Algorithm for Single Particle Reconstruction of Cryo-EM

Single particle reconstruction (SPR) from cryo-electron microscopy (cryo-EM) is an emerging technique for determining the three-dimensional (3D) structure of macromolecules. A major challenge in single particle reconstruction from cryo-electron microscopy is to establish a reliable ab initio three-dimensional model using two-dimensional projection images. In this paper we introduce a fast proximal gradient method (FISTA) to solve the corresponding optimization problem of Single particle reconstruction. Numerical experiments with simulated images demonstrate that the proposed methods significantly reduce the estimation error and improved reconstruction quality.