EPFL | Biomedical Imaging Group | Spectral Signal-to-Noise Ratio

Resolution Assessment of 3D Reconstructions by Spectral Signal-to-Noise Ratio

M. Unser, M.J. Vrhel, J.F. Conway, M. Gross, P. Thévenaz, A.C. Stevens, B.L. Trus

Proceedings of the Eleventh European Congress on Microscopy (EUREM'96), Dublin, Eire, August 26-30, 1996, pp. III.260–III.261.

One approach for assessing the resolution limit for 3D reconstructions calculated from electron micrograph data has been to compute two independent intensity maps and to test for the concordance of their 3D Fourier components, for example, by differential phase residuals (DPR), or Fourier ring correlation (FRC). While this approach provides a good test for the reproducibility of the experiment, it constrains us to calculate resolution limits based on subsets of he available data. In addition, it does not explicitly test for the validity of the reconstruction process—reproducibility alone does not guarantee that the calculated density maps accurately represent the raw data. These problems are avoided in the method developed by Conway et al. in which an FRC-based resolution assessment is made between each constituent raw image of the 3D density maps and its corresponding reprojection from that map, and these are then averaged over all such image/reprojection pairs for the map. However, use of the FRC in this way raises the difficulty of determining a statistically sound resolution threshold. This motivated us to develop an alternative criterion to FRC within the framework of comparing all image/reprojection pairs. This new criterion, the Spectral Signal-to-Noise Ratio (SSNR), is based on previous work in 2D.

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/unser9611.html,
AUTHOR="Unser, M. and Vrhel, M.J. and Conway, J.F. and Gross, M. and
	Th{\'{e}}venaz, P. and Stevens, A.C. and Trus, B.L.",
TITLE="Resolution Assessment of {3D} Reconstructions by Spectral
	Signal-to-Noise Ratio",
BOOKTITLE="Proceedings of the Eleventh European Congress on
	Microscopy ({EUREM'96})",
YEAR="1996",
editor="",
volume="",
series="",
pages="{III}.260--{III}.261",
address="Dublin, Eire",
month="August 26-30,",
organization="",
publisher="",
note="")

© 1996 EUREM. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from EUREM. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.