Replacement of a large continuous aperture by a set of small
apertures offers a number of advantages if the subapertures can be placed
within the array so as to achieve minimal spatial frequency redundancy.
Using an approach based on combinatorics and integer programming, we
have found solutions for a linear array for N (number of subapertures) up
to eight. In my opinion, too much emphasis has been placed on the subaperture
positioning problem and not enough on the resultant diffraction
imagery. To this end, we have calculated the diffraction images of extended
incoherent objects for these optimum arrays. We then proceed to
discuss inversion techniques whereby we determine the object intensity
from the diffraction images.