Well-conditioned ptychographic imaging via lost subspace completion


Ptychography,aspecialcaseofthephaseretrievalproblem,isapopularmethod in modern imaging. Its measurements are based on the shifts of a locally supported window function. In general, direct recovery of an object from such measurements is known to be an ill-posed problem. Although for some windows the conditioning can be controlled, for a number of important cases it is not possible, for instance for Gaussian windows. In this paper we develop a subspace completion algorithm, which enables stable reconstruction for a much wider choice of windows, including Gaussian windows. The combination with a regularization technique leads to improved conditioning and better noise robustness.

Inverse Problems, Volume 36, Number 10