We discuss the use of a physically constrained iterative deconvolution algorithm to combine and deconvolve images taken with interferometric imaging arrays. To demonstrate this method we have simulated imaging with the Large Binocular Telescope [Proc. SPIE3352, 23 (1998)]. This is a two-element interferometer in which each element is under adaptive-optics control for atmospheric compensation and in which the fixed baseline is maintained by active control to compensate for elastic flexure of steel under variable gravitational loading. We show how images taken at different position angles, by means of the two 8.4-m apertures, co-phased across the 14.6-m center-to-center separation, can be used to tomographically reconstruct an astronomical object at the full-aperture (23-m) diffraction limit of the Large Binocular Telescope.