5 citations · 5 across the 3 of their papers we have counts for
5 papers
Convergence properties of gradient methods for blind ptychography
Oleh Melnyk
We consider blind ptychography, an imaging technique which aims to reconstruct an object of interest from a set of its diffraction patterns, each obtained by a local illumination.…
Stochastic Amplitude Flow for phase retrieval, its convergence and doppelgängers
Oleh Melnyk
In this paper, we focus on Stochastic Amplitude Flow (SAF) for phase retrieval, a stochastic gradient descent for the amplitude-based squared loss. While the convergence to a criti…
Image Recovery for Blind Polychromatic Ptychography
Frank Filbir, Oleh Melnyk
Ptychography is a lensless imaging technique, which considers reconstruction from a set of far-field diffraction patterns obtained by illuminating small overlapping regions of the…
On the robustness of noise-blind low-rank recovery from rank-one measurements
Felix Krahmer, Christian Kümmerle, Oleh Melnyk
We prove new results about the robustness of well-known convex noise-blind optimization formulations for the reconstruction of low-rank matrices from underdetermined linear measure…
Well conditioned ptychograpic imaging via lost subspace completion
Anton Forstner, Felix Krahmer, Oleh Melnyk +1
Ptychography, a special case of the phase retrieval problem, is a popular method in modern imaging. Its measurements are based on the shifts of a locally supported window function.…