Augmented projections for ptychographic imaging

TL;DR

This paper proposes a relaxed projection algorithm for ptychographic imaging that improves convergence and robustness against instabilities like fluctuations and calibration errors, demonstrated through numerical tests.

Contribution

It introduces a novel relaxation method with an added phasing optimization to enhance convergence in ptychographic reconstruction.

Findings

Exact recovery of object and noise in high redundancy data

Enhanced convergence rate of projection algorithms

Robustness to intensity fluctuations and calibration errors

Abstract

Ptychography is a popular technique to achieve diffraction limited resolution images of a two or three dimensional sample using high frame rate detectors. We introduce a relaxation of common projection algorithms to account for instabilities given by intensity and background fluctuations, position errors, or poor calibration using multiplexing illumination. This relaxation introduces an additional phasing optimization at every step that enhances the convergence rate of common projection algorithms. Numerical tests exhibit the exact recovery of the object and the noise when there is high redundancy in the data.