title: FAST WAVELET-BASED SINGLE-PARTICLE RECONSTRUCTION IN CRYO-EM.
abstract: This paper presents a novel algorithm for the 3D tomographic inversion problem that arises in single-particle electron cryo-microscopy (Cryo-EM). It is based on two key components: 1) a variational formulation that promotes sparsity in the wavelet domain and 2) the Toeplitz structure of the combined projection/back-projection operator. The first idea has proven to be very effective for the recovery of piecewise-smooth signals, which is confirmed by our numerical experiments. The second idea allows for a computationally efficient implementation of the reconstruction procedure, using only one circulant convolution per iteration.
authors.affiliation: Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, USA.
authors.forename: Cédric
authors.initials: C
authors.lastname: Vonesch
authors.forename: Lanhui
authors.initials: L
authors.lastname: Wang
authors.forename: Yoel
authors.initials: Y
authors.lastname: Shkolnisky
authors.forename: Amit
authors.initials: A
authors.lastname: Singer