2011Vonesch Wavelets

Citation

Vonesch C.; Wang L.; Shkolnisky Y. & A. Singer. Fast wavelet-based single-particle reconstruction in cryo-EM. 8th IEEE International Symposium on Biomedical Imaging (ISBI’11), March 30 – April 2, 2011.

Abstract

This paper presents a novel algorithm for the 3D tomographic inversion problem that arises in single-particle electron cryomicroscopy (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.

Keywords

L1 wavelet regularization, promoting sparsity, Landweber thresholding, Toeplitz.

Links

http://www.ncbi.nlm.nih.gov/pubmed/22536462