Title: Study of cost functionals for ptychographic phase retrieval to improve the robustness against noise, and a proposal for another noise-robust ptychographic phase retrieval scheme,
Abstract: Recently, efforts have been made to improve ptychography phase retrieval
algorithms so that they are more robust against noise. Often the algorithm is
adapted by changing the cost functional that needs to be minimized. In
particular, it has been suggested that the cost functional should be obtained
using a maximum-likelihood approach that takes the noise statistics into
account. Here, we consider the different choices of cost functional, and to how
they affect the reconstruction results. We find that seemingly the only
consistently reliable way to improve reconstruction results in the presence of
noise is to reduce the step size of the update function. In addition, a
noise-robust ptychographic reconstruction method has been proposed that relies
on adapting the intensity constraints