Fast wavelet-based single-particle reconstruction in Cryo-EM

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...

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Bibliographic Details
Published in:2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro 2011-06, Vol.2011, p.1950-1953
Main Authors: Vonesch, C, Lanhui Wang, Shkolnisky, Y, Singer, A
Format: Article
Language:English
Subjects:
electron cryo-microscopy (Cryo-EM)
Fourier transforms
Image reconstruction
Inverse problem
Kernel
non-uniform FFT
one-norm regularization
projection-slice theorem
Signal to noise ratio
single particle reconstruction
sparsity
Three dimensional displays
Toeplitz structure
Tomography
wavelets
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Summary: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.
ISSN:1945-7928
1945-8452
DOI:10.1109/ISBI.2011.5872791