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

Cédric Vonesch, Lanhui Wang, Yoel Shkolnisky, Amit Singer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

20 Scopus citations


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.

Original languageEnglish (US)
Title of host publication2011 8th IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationFrom Nano to Macro, ISBI'11
Number of pages4
StatePublished - 2011
Event2011 8th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI'11 - Chicago, IL, United States
Duration: Mar 30 2011Apr 2 2011

Publication series

NameProceedings - International Symposium on Biomedical Imaging
ISSN (Print)1945-7928
ISSN (Electronic)1945-8452


Other2011 8th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI'11
Country/TerritoryUnited States
CityChicago, IL

All Science Journal Classification (ASJC) codes

  • Radiology Nuclear Medicine and imaging
  • Biomedical Engineering


  • 3D
  • Inverse problem
  • Toeplitz structure
  • electron cryo-microscopy (Cryo-EM)
  • non-uniform FFT
  • one-norm regularization
  • projection-slice theorem
  • single particle reconstruction
  • sparsity
  • wavelets


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