Two methods for restoration of images of coherently illuminated objects or coherent sources using multiple short-exposure images are proposed. The first method is based on the same concepts as the Knox-Thompson technique used for incoherent imaging. Sampling resolution requirements are calculated as a function of turbulence strength and lens size. The second method uses a probability maximization technique to form an estimate of the object based on the images taken and knowledge of the statistical nature of atmospheric turbulence. Both techniques require phase information of the electric field in the image plane. Methods of obtaining this information are also discussed.