Spatial resolution is an important metric for performance
characterization in PET systems. Measuring spatial resolution is straightforward
with a linear reconstruction algorithm, such as filtered backprojection, and can
be performed by reconstructing a point source scan and calculating the
full-width-at-half-maximum (FWHM) along the principal directions. With the
widespread adoption of iterative reconstruction methods, it is desirable to
quantify the spatial resolution using an iterative reconstruction algorithm.
However, the task can be difficult because the reconstruction algorithms are
nonlinear and the non-negativity constraint can artificially enhance the
apparent spatial resolution if a point source image is reconstructed without any
background. Thus, it was recommended that a background should be added to the
point source data before reconstruction for resolution measurement. However,
there has been no detailed study on the effect of the point source contrast on
the measured spatial resolution. Here we use point source scans from a
preclinical PET scanner to investigate the relationship between measured spatial
resolution and the point source contrast. We also evaluate whether the
reconstruction of an isolated point source is predictive of the ability of the
system to resolve two adjacent point sources. Our results indicate that when the
point source contrast is below a certain threshold, the measured FWHM remains
stable. Once the contrast is above the threshold, the measured FWHM
monotonically decreases with increasing point source contrast. In addition, the
measured FWHM also monotonically decreases with iteration number for maximum
likelihood estimate. Therefore, when measuring system resolution with an
iterative reconstruction algorithm, we recommend using a low-contrast point
source and a fixed number of iterations.