3 research outputs found
Image recovery from rotational and translational invariants
We introduce a framework for recovering an image from its rotationally and
translationally invariant features based on autocorrelation analysis. This work
is an instance of the multi-target detection statistical model, which is mainly
used to study the mathematical and computational properties of single-particle
reconstruction using cryo-electron microscopy (cryo-EM) at low signal-to-noise
ratios. We demonstrate with synthetic numerical experiments that an image can
be reconstructed from rotationally and translationally invariant features and
show that the reconstruction is robust to noise. These results constitute an
important step towards the goal of structure determination of small
biomolecules using cryo-EM.Comment: 5 pages, 3 figure