Spectral Signal-to-Noise Ratio and Resolution Assessment of 3D Reconstructions
M. Unser, C.O.S. Sorzano, P. Thévenaz, S. Jonić, C. El-Bez, S. De Carlo, J.F. Conway, B.L. Trus
Journal of Structural Biology, vol. 149, no. 3, pp. 243–255, March 2005.
Measuring the quality of three-dimensional (3D) reconstructed biological macromolecules by transmission electron microscopy is still an open problem. In this article, we extend the applicability of the spectral signal-to-noise ratio (SSNR) to the evaluation of 3D volumes reconstructed with any reconstruction algorithm. The basis of the method is to measure the consistency between the data and a corresponding set of reprojections computed for the reconstructed 3D map. The idiosyncrasies of the reconstruction algorithm are taken explicitly into account by performing a noise-only reconstruction. This results in the definition of a 3D SSNR which provides an objective indicator of the quality of the 3D reconstruction. Furthermore, the information to build the SSNR can be used to produce a volumetric SSNR (VSSNR). Our method overcomes the need to divide the data set in two. It also provides a direct measure of the performance of the reconstruction algorithm itself; this latter information is typically not available with the standard resolution methods which are primarily focused on reproducibility alone.
@ARTICLE(http://bigwww.epfl.ch/publications/unser0501.html, AUTHOR="Unser, M. and S{\'{a}}nchez Sorzano, C.{\'{O}}. and Th{\'{e}}venaz, P. and Joni{\'{c}}, S. and El-Bez, C. and De Carlo, S. and Conway, J.F. and Trus, B.L.", TITLE="Spectral Signal-to-Noise Ratio and Resolution Assessment of 3D Reconstructions", JOURNAL="Journal of Structural Biology", YEAR="2005", volume="149", number="3", pages="243--255", month="March", note="")