In image restoration, the PSF is usually regarded as
known. For this standard case, the ideas of § 2 lead to the
following optimization problem: the quantities
and
are determined by maximizing the objective function
Here denotes the reduced log-likelihood of the observed image and
is given by
with
The regularization parameter controls the weight given to the
regularization of
, and the Lagrange multiplier
allows
overall flux conservation to be imposed.