  A new method is presented for the analysis of small angle neutron scattering
data from quasi-2D systems such as flux lattices, Skyrmion lattices, and
aligned liquid crystals. A significant increase in signal to noise ratio, and a
natural application of the Lorentz factor can be achieved by taking advantage
of the knowledge that all relevant scattering is centered on a plane in
reciprocal space. The Bayesian form ensures that missing information is treated
in a controlled way and can be subsequently included in the analysis. A simple
algorithm based on Gaussian probability assumptions is provided which provides
very satisfactory results. Finally, it is argued that a generalised
model-independent Bayesian data analysis method would be highly advantageous
for the processing of neutron and x-ray scattering data.
