TY - GEN
T1 - Image Recovery from Rotational and Translational Invariants
AU - Marshall, Nicholas F.
AU - Lan, Ti Yen
AU - Bendory, Tamir
AU - Singer, Amit
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/5
Y1 - 2020/5
N2 - 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 rotational and translational invariants 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.
AB - 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 rotational and translational invariants 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.
KW - autocorrelation analysis
KW - multi-target detection
KW - single-particle cryo-electron microscopy
UR - http://www.scopus.com/inward/record.url?scp=85089226928&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85089226928&partnerID=8YFLogxK
U2 - 10.1109/ICASSP40776.2020.9053932
DO - 10.1109/ICASSP40776.2020.9053932
M3 - Conference contribution
AN - SCOPUS:85089226928
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 5780
EP - 5784
BT - 2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020
Y2 - 4 May 2020 through 8 May 2020
ER -