  A detailed comparison is made of results from the Lunar Prospector Neutron
Spectrometer (LPNS) and the Lunar Exploration Neutron Detector Collimated
Sensors for EpiThermal Neutrons (LEND CSETN). Using the autocorrelation
function and power spectrum of the polar count rate maps produced by these
experiments, it is shown that the LEND CSETN has a footprint that is at least
as big as would be expected for an omni-directional detector at an orbital
altitude of 50 km. The collimated flux into the field of view of the collimator
is negligible. Arguments put forward asserting otherwise are considered and
found wanting for various reasons. The maps of lunar polar hydrogen with the
highest contrast, i.e. spatial resolution, are those resulting from pixon image
reconstructions of the LPNS data. These typically provide weight percentages of
water equivalent hydrogen that are accurate to 30% within the polar craters.
