Tamir Bendory, Ti Yen Lan, Nicholas F. Marshall, Iris Rukshin, Amit Singer

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We consider the multi-target detection problem of estimating a two-dimensional target image from a large noisy measurement image that contains many randomly rotated and translated copies of the target image. Motivated by single-particle cryo-electron microscopy, we focus on the low signalto-noise regime, where it is difficult to estimate the locations and orientations of the target images in the measurement. Our approach uses autocorrelation analysis to estimate rotationally and translationally invariant features of the target image. We demonstrate that, regardless of the level of noise, our technique can be used to recover the target image when the measurement is sufficiently large.

Original languageEnglish (US)
Pages (from-to)362-380
Number of pages19
JournalInverse Problems and Imaging
Issue number2
StatePublished - Apr 1 2023

All Science Journal Classification (ASJC) codes

  • Analysis
  • Modeling and Simulation
  • Discrete Mathematics and Combinatorics
  • Control and Optimization


  • Multi-target detection
  • autocorrelation analysis
  • bispectrum
  • cryo-EM
  • singleparticle reconstruction


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