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Hook and Lucy (1992) have described a method for co-adding images with
different PSFs, which is a straight forward generalization of the
Richardson-Lucy image restoration method (Richardson 1972, Lucy
1974). In their scheme, a multiplicative correction factor 
to
the current estimate for the image 
is computed in
iteration 
as
where 
labels the input images 
, 
is the
current estimate of the image 
convolved with the PSF for
image , and 
is the weight of the input image.