Crowther criterion

The conventional method to evaluate the resolution of a tomography reconstruction is determined by the Crowther criterion. ^{[1] [2]} The minimum number of views, ${\displaystyle m}$, to reconstruct a particle of diameter ${\displaystyle D}$ to a resolution of ${\displaystyle d}$ is given by

${\displaystyle m=\pi {\frac {D}{d}},}$

where ${\displaystyle d=1/R}$, with ${\displaystyle R}$ the reciprocal space radius corresponding to the maximum meaningfully filled frequency in Fourier space.

References

1. R. A. Crowther; D. J. DeRosier; A. Klug (1970). "The Reconstruction of a Three-Dimensional Structure from Projections and its Application to Electron Microscopy". Proceedings of the Royal Society of London A. 317 (1530): 319–340. Bibcode:1970RSPSA.317..319C. doi:10.1098/rspa.1970.0119. S2CID   122980366.
2. R. Yalisove; S.H. Sung; P. Ercius; R. Hovden (2021). "Limits of Three-Dimensional Resolution and Dose for Aberration-Corrected Electron Tomography". Physical Review Applied. 15 (1) 014003. arXiv: 2006.06585 . Bibcode:2021PhRvP..15a4003Y. doi: 10.1103/PhysRevApplied.15.014003 .