Knox–Thompson and triple-correlation imaging through atmospheric turbulence

A comparative study is made of the Knox–Thompson and triple-correlation techniques as applied to image restoration. Both photon-noise-degraded imaging and atmospheric-turbulence-degraded imaging are considered. The signal-to-noise ratios of the methods are studied analytically and with the aid of computer simulations. The ability to retain diffraction-limited information on imaging through turbulence is considered in terms of phase-closure relationships. On the basis of this work it is found that the two image-restoration techniques are effectively equivalent.