Definition and estimation of resolution in single-particle reconstructions

In this paper, we review current practices for establishing the resolution in single-particle reconstructions. The classical Raleigh criterion for the resolution is not applicable in this case, and the resolution is commonly defined by a consistency test, whereby the data set is randomly split in half and the two resulting reconstructions are then compared. Such a procedure, however, may introduce statistical dependence between the two half-sets, which leads to a too optimistic resolution estimate. On the other hand, this overestimation is counteracted by the diminished statistical properties of a mere half of the data set. The "true" resolution of the whole data set can be estimated when the functional relationship between the data size and the resolution is known. We are able to estimate this functional by taking into account the B-factor and the geometry of data collection. Finally, the drawbacks of resolution estimation are entirely avoided by computing the correlation of neighboring voxels in the Fourier domain.