Ptychography is a form of phase imaging that uses iterative algorithms to reconstruct an
image of a specimen from a series of diffraction patterns. It is swiftly developing into a …

Ptychography is a computational imaging technique. A detector records an extensive data
set consisting of many inference patterns obtained as an object is displaced to various …

Using state of the art scanning transmission electron microscopy (STEM) it is nowadays
possible to directly image single atomic columns at sub-Å resolution. In standard (high …

A number of recent works have emphasized the prominent role played by the Kurdyka-
Łojasiewicz inequality for proving the convergence of iterative algorithms solving possibly …

We propose a forward–backward proximal-type algorithm with inertial/memory effects for
minimizing the sum of a nonsmooth function with a smooth one in the nonconvex setting …

Ever brighter light sources, fast parallel detectors and advances in phase retrieval methods
have made ptychography a practical and popular imaging technique. Compared to previous …

Phase retrieval plays an important role in vast industrial and scientific applications. We
consider a noisy phase retrieval problem in which the magnitudes of the Fourier transform …

Ptychography has risen as a reference X-ray imaging technique: it achieves resolutions of
one billionth of a meter, macroscopic field of view, or the capability to retrieve chemical or …

We develop a framework for quantitative convergence analysis of Picard iterations of
expansive set-valued fixed point mappings. There are two key components of the analysis …

Noise, one of the severe challenges in phase retrieval, may bring the algorithms to fall into
local minima or even disrupt the convergence, thereby adversely affecting the imaging …