A new method for image restoration based on the shift-and-add (SAA) algorithm is presented, the main advantages of which appear to be speed and simplicity. The SAA pattern produced by an object is given by the object correlated by a nonlinear replica of itself whose intensity distribution is strongly weighted toward the brighter pixels. A method of successive substitutions analogous to Fienup’s algorithm can then be used to decorrelate the SAA pattern and recover the object. The method is applied to the case of the extended chromosphere of Betelgeuse.
© 1985 Optical Society of America
William G. Bagnuolo, Jr., "Image restoration by the shift-and-add algorithm," Opt. Lett. 10, 200-202 (1985)