Optimal Iterative Image Reconstruction with Incomplete and Approximate Data

For the determination and improvement of phases in X-ray analysis a procedure called "phase correction" or "density modification" has been developed1,2). It is applicable to all types of images when the spectral density is known. It has been applied to various structure determinations of small molecules3), resolution extension of macro molecules4), phase improvement in a virus structure5) and reduction of the effect of missing projection data in electron microscopy.