The novel image-forming methods used in the Molonglo Observatory Synth
esis Telescope (MOST) are not amenable to a direct application of the
self-calibration techniques that have been so effective in improving t
he performance of many other aperture synthesis radio telescopes. Spec
ifically, self-calibration of antenna-based errors and the use of phas
e closure conditions is not possible because vital antenna-based infor
mation is lost irretrievably as the MOST forms interferometer beams in
real time. However, it is shown in this paper that suitable models of
errors introduced by the atmosphere and telescope can be adaptively c
onstructed from the properties of synthesised images. These models can
then be used iteratively with standard deconvolution methods to impro
ve significantly the fidelity of MOST images. The method would have ge
neral application to tomographic imaging systems in which non-ideal be
haviour could be represented by a small number of unknown parameters.